THERMAL COMFORT MEASURING SYSTEM

Abstract

Disclosed is a heat flux sensor including a body with four or more sensor pairs, each pair including one radiation absorbing, absorptive, sensor for measuring a combined radiative and convective heat flux and one radiation reflecting, reflective, sensor for substantially measuring a convective heat flux, a heating member that is in heat conducing contact with the body, and a temperature sensor thermally coupled with the body for measuring the body temperature T.sub.sen.

Claims

1. Heat flux sensor comprising: a body with six or more sensor pairs, each pair consisting of one radiation absorbing, absorptive, sensor for measuring a combined radiative and convective heat flux and one radiation reflecting, reflective, sensor for substantially measuring a convective heat flux, the body exhibiting three axes of heat flux measurement, the axes being substantially perpendicular, with two sensor pairs per axis facing substantially in opposite directions, a heating member that is in heat conducing contact with the body, capable of heating the body uniformly within 2? C. for body temperatures between 25 and 40? C. at ambient air temperatures between 20 and 25? C. at air speeds <1 m/s and a temperature sensor thermally coupled with the body for measuring the body temperature T.sub.sen.

2. The heat flux sensor according to claim 1, carrying six or more sensor pairs with a combined field of view between 2.5? to 4? sr,

3. System comprising the heat flux sensor of claim 1, a control unit and an ambient temperature sensor connected to the control unit for measuring an ambient temperature T.sub.air, the control unit being adapted for: operating the heating member for heating of the body, determining or controlling of the temperature of the body, T.sub.sen determining from the measurements of the reflective sensor of each of the six or more sensor pairs a convective heat flux ?.sub.convection, determining a radiative heat flux ?.sub.radiation by subtracting the measurements of the absorptive sensor and of the reflective sensor of each of the six or more sensor pairs, determining a convective heat transfer coefficient Cur based on ?.sub.convection, T.sub.air and T.sub.sen or based on the power supplied to the heating member at several sensor body temperatures T.sub.sen, determining an ambient air velocity v.sub.air, based on the heat transfer coefficient C.sub.tr, and determining the radiative temperature T.sub.rad from T.sub.sen and ?.sub.radiation.

4. The system according to claim 3, wherein the control unit controls the power supplied to the heating member so that the sensor body is kept at a predetermined temperature T.sub.sen.

5. The system according to claim 3, further comprising a humidity sensor connected to the control unit for determining a humidity p.sub.a of the ambient air, the control unit being adapted for determining a comfort value for a person at the position of the sensor, based on: the measured humidity p.sub.a of the ambient air, the measured air temperature, T.sub.air, the body temperature, T.sub.sen, for each of the six or more sensor pairs, the radiative heat flux ?.sub.radiation, and the convective heat flux ?.sub.convection. and using mathematical corrections such as projected area factors valid for a person at the position of the sensor.

6. The system according to claim 5, wherein the comfort value comprises a predicted mean vote PMV which is a function of parameters including a metabolic rate M, that can be expressed in W/m.sup.2, the effective mechanical power W, that can be expressed in W/m.sup.2, clothing insulation I.sub.cl, that can be expressed in K.Math.m.sup.2/W, the air temperature T.sub.air, a mean radiant temperature T.sub.rad, that can be expressed in C, the ambient air velocity v.sub.air, that can be expressed in m/s and the measured humidity p.sub.a that can be expressed by water vapor partial pressure in Pa, which parameters are related: $PMV=\left[0.303e^{\left(-0.036M\right)}+0.028\right]?[\left[\left(M-W\right)-3.05?{10}^{-3}\left[5733-6.99\left(M-W\right)-p_a\right]-0.42\left[\left(M-W\right)-58.15\right]-1.7?{10}^{-5}M\left(5867-p_a\right)-0.0015M\left(34-T_{air}\right)-3.96{10}^{-8}{f}_{\mathrm{cl}}\left({\left(T_{\mathrm{cl}}+273\right)}^4-{\left(T_{rad}+273\right)}^4\right)-f_{\mathrm{cl}}{C}_{tr}\left(T_{\mathrm{cl}}-T_{air}\right)\right],$ Wherein values of M, W, I.sub.cl, f.sub.cl are entered by the user, and f.sub.cl is a clothing surface area factor, and T.sub.cl the clothing surface temperature: $T_{\mathrm{cl}}=35.7-0.028\left(M-W\right)-I_{\mathrm{cl}}\left[3.96{10}^{-8}{f}_{\mathrm{cl}}\left({\left(T_{\mathrm{cl}}+273\right)}^4-{\left(T_{rad}+273\right)}^4\right)+f_{\mathrm{cl}}{C}_{tr}\left(T_{\mathrm{cl}}-T_{air}\right)\right]$

7. The system according to claim 6, wherein the control unit controls the power supplied to the heating member so that the sensor body is kept at a body temperature T.sub.sen which is substantially equal to the clothing surface temperature Tel, and PMV and PPD values are measured.

8. The system according to claim 4, the control unit being adapted to compare the total heating power supplied to the body for keeping the body at the predetermined temperature, with the heat flux measured by the reflective sensor and the heat flux measured by the absorptive sensor of each of the six or more sensor pairs.

9. The system according to claim 3, the control unit heating the body temperature T.sub.sen to the operative temperature T.sub.operative thereby determining the operative temperature T.sub.operative: ${?}_{\mathrm{radiation}}+{?}_{\mathrm{convection}}=0\mathrm{at}{T}_{\mathrm{sen}}=T_{\mathrm{operative}}:$ with ?.sub.radiation and ?.sub.convection sums of radiative and convective heat fluxes to the sensor body weighted with the applicable area factors.

10. Method of determining a comfort value, the method comprising the steps of: providing a heat flux sensor having a body with six or more sensor pairs, each sensor pair consisting of one absorptive sensor for measuring a combined radiative and convective heat flux and one reflective sensor for substantially measuring a convective heat flux, a heating member that is in heat conducing contact with the body, a temperature sensor thermally coupled with the body for measuring the body temperature T.sub.sen, and a humidity sensor connected to the control unit for determining a humidity p.sub.a of the ambient air, and an ambient temperature sensor connected to the control unit for measuring an ambient temperature T.sub.air, operating the heating member for heating of the body, to control the body temperature T.sub.sen to an estimated clothing surface temperature T.sub.cl determining the temperature of the body, T.sub.sen, determining for each of the six or more sensor pairs from the measurements of the reflective sensor a convective heat flux ?.sub.convection, determining for each of the six or more sensor pairs a radiative heat flux ?.sub.radiation by subtracting the measurements of the absorptive sensor and of the reflective sensor, entering values of M metabolic rate, W work, I.sub.cl, clothing insulation, f.sub.cl clothing surface area factor and determining the comfort value based on: the measured humidity p.sub.a of the ambient air, the measured air temperature, T.sub.air, the body temperature, T.sub.sen, for each of the six or more sensor pairs the radiative heat flux ?.sub.radiation, and the convective heat flux ?.sub.convection. using mathematical corrections such as projected area factors valid for a person at the position of the sensor.

11. The method according to claim 10, wherein the comfort value comprises a predicted mean vote PMV which is a function of parameters including a metabolic rate M, that can be expressed in W/m.sup.2, the effective mechanical power W, that can be expressed in W/m.sup.2, clothing insulation I.sub.cl, that can be expressed in K.Math.m.sup.2/W, the air temperature T.sub.air, a mean radiant temperature T.sub.rad, that can be expressed in C, the ambient air velocity v.sub.air, that can be expressed in m/s and the measured humidity p.sub.a that can be expressed by water vapor partial pressure in Pa, which parameters are related by: $PMV=\left[0.303e^{\left(-0.036M\right)}+0.028\right]?[\left[\left(M-W\right)-3.05?{10}^{-3}\left[5733-6.99\left(M-W\right)-p_a\right]-0.42\left[\left(M-W\right)-58.15\right]-1.7?{10}^{-5}M\left(5867-p_a\right)-0.0015M\left(34-T_{air}\right)-3.96{10}^{-8}{f}_{\mathrm{cl}}\left({\left(T_{\mathrm{cl}}+273\right)}^4-{\left(T_{rad}+273\right)}^4\right)-f_{\mathrm{cl}}{C}_{tr}\left(T_{\mathrm{cl}}-T_{air}\right)\right],$ Wherein values of M, W, I.sub.cl, f.sub.cl are entered by the user, and f.sub.cl is a clothing surface area factor, and T.sub.cl the clothing surface temperature $T_{\mathrm{cl}}=35.7-0.028\left(M-W\right)-I_{\mathrm{cl}}\left[3.96{10}^{-8}{f}_{\mathrm{cl}}\left({\left(T_{\mathrm{cl}}+273\right)}^4-{\left(T_{rad}+273\right)}^4\right)+f_{\mathrm{cl}}{C}_{tr}\left(T_{\mathrm{cl}}-T_{air}\right)\right]$

12. Method of determining an operative temperature T.sub.operative, the method comprising the steps of: providing a heat flux sensor having a body with six or more sensor pairs, each sensor pair consisting of one absorptive sensor for measuring a combined radiative and convective heat flux and one reflective sensor for substantially measuring a convective heat flux, a heating member that is in heat conducing contact with the body, a temperature sensor thermally coupled with the body for measuring the body temperature T.sub.sen, operating the heating member for heating of the body, determining the temperature of the body, T.sub.sen, determining for each of the six or more sensor pairs from the measurements of the reflective sensor a convective heat flux ?.sub.convection, determining for each of the six or more sensor pairs a radiative heat flux ?.sub.radiation by subtracting the measurements of the absorptive sensor and of the reflective sensor, controlling the sensor temperature T.sub.sen to a temperature T.sub.operative for which ${?}_{\mathrm{radiation}}+{?}_{\mathrm{convection}}=0$ with ?.sub.radiation and ?.sub.convection sums of radiative and convective heat fluxes to the sensor body weighted with the applicable area factors, determining T.sub.operative.

13. System comprising the heat flux sensor of claim 2, a control unit and an ambient temperature sensor connected to the control unit for measuring an ambient temperature T.sub.air, the control unit being adapted for: operating the heating member for heating of the body, determining or controlling of the temperature of the body, T.sub.sen determining from the measurements of the reflective sensor of each of the six or more sensor pairs a convective heat flux ?.sub.convection, determining a radiative heat flux ?.sub.radiation by subtracting the measurements of the absorptive sensor and of the reflective sensor of each of the six or more sensor pairs, determining a convective heat transfer coefficient C.sub.tr based on ?.sub.convection, T.sub.air and T.sub.sen or based on the power supplied to the heating member at several sensor body temperatures T.sub.sen, determining an ambient air velocity v.sub.air, based on the heat transfer coefficient C.sub.tr, and determining the radiative temperature T.sub.rad from T.sub.sen and ?.sub.radiation.

14. The system according to claim 4, further comprising a humidity sensor connected to the control unit for determining a humidity p.sub.a of the ambient air, the control unit being adapted for determining a comfort value for a person at the position of the sensor, based on: the measured humidity p.sub.a of the ambient air, the measured air temperature, T.sub.air, the body temperature, T.sub.sen, for each of the six or more sensor pairs, the radiative heat flux ?.sub.radiation, and the convective heat flux ?.sub.convection. and using mathematical corrections such as projected area factors valid for a person at the position of the sensor.

15. The system according to claim 14, wherein the comfort value comprises a predicted mean vote PMV which is a function of parameters including a metabolic rate M, that can be expressed in W/m.sup.2, the effective mechanical power W, that can be expressed in W/m.sup.2, clothing insulation I.sub.cl, that can be expressed in K.Math.m.sup.2/W, the air temperature T.sub.air, a mean radiant temperature T.sub.rad, that can be expressed in C, the ambient air velocity v.sup.air, that can be expressed in m/s and the measured humidity p.sub.a that can be expressed by water vapor partial pressure in Pa, which parameters are related: $PMV=\left[0.303e^{\left(-0.036M\right)}+0.028\right]?[\left[\left(M-W\right)-3.05?{10}^{-3}\left[5733-6.99\left(M-W\right)-p_a\right]-0.42\left[\left(M-W\right)-58.15\right]-1.7?{10}^{-5}M\left(5867-p_a\right)-0.0015M\left(34-T_{air}\right)-3.96{10}^{-8}{f}_{\mathrm{cl}}\left({\left(T_{\mathrm{cl}}+273\right)}^4-{\left(T_{rad}+273\right)}^4\right)-f_{\mathrm{cl}}{C}_{tr}\left(T_{\mathrm{cl}}-T_{air}\right)\right],$ Wherein values of M, W, I.sub.cl, f.sub.cl are entered by the user, and f.sub.cl is a clothing surface area factor, and T.sub.cl the clothing surface temperature: $\begin{array}{cc}{T}_{\mathrm{cl}}=35.7-0.028\left(M-W\right)-I_{\mathrm{cl}}\left[3.96{10}^{-8}{f}_{\mathrm{cl}}\left({\left(T_{\mathrm{cl}}+273\right)}^4-{\left(T_{rad}+273\right)}^4\right)+f_{\mathrm{cl}}{C}_{tr}\left(T_{\mathrm{cl}}-T_{air}\right)\right]& \left[5\right]\end{array}$

16. The system according to claim 15, wherein the control unit controls the power supplied to the heating member so that the sensor body is kept at a body temperature T.sub.sen which is substantially equal to the clothing surface temperature T.sub.cl, and PMV and PPD values are measured.

17. The system according to claim 16, the control unit being adapted to compare the total heating power supplied to the body for keeping the body at the predetermined temperature, with the heat flux measured by the reflective sensor and the heat flux measured by the absorptive sensor of each of the six or more sensor pairs.

18. The system according to claim 5, the control unit being adapted to compare the total heating power supplied to the body for keeping the body at the predetermined temperature, with the heat flux measured by the reflective sensor and the heat flux measured by the absorptive sensor of each of the six or more sensor pairs.

19. The system according to claim 6, the control unit being adapted to compare the total heating power supplied to the body for keeping the body at the predetermined temperature, with the heat flux measured by the reflective sensor and the heat flux measured by the absorptive sensor of each of the six or more sensor pairs.

20. The system according to claim 7, the control unit being adapted to compare the total heating power supplied to the body for keeping the body at the predetermined temperature, with the heat flux measured by the reflective sensor and the heat flux measured by the absorptive sensor of each of the six or more sensor pairs.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0075] FIG. 1 shows a perspective view of a sensor for measuring a heat flux in accordance with the present invention;

[0076] FIG. 2 shows a cross-sectional side view of a measurement side of the sensor for measuring a heat flux in accordance with the present invention;

[0077] FIG. 3 shows a perspective view of a measurement side of the sensor for measuring a heat flux in accordance with the present invention;

[0078] FIG. 4 shows a perspective view of a cylindrical sensor for measuring a heat flux in accordance with the present invention;

[0079] FIG. 5 shows a perspective view of a sensor for measuring a heat flux in accordance with the present invention;

[0080] FIG. 6 schematically shows a system according to the invention for measuring thermal comfort in accordance with the present invention;

[0081] FIG. 7 shows a flowchart of the steps carried out by the control unit for determining thermal comfort. in accordance with the present invention.

DETAILED DESCRIPTION OF EMBODIMENTS

[0082] FIG. 1 shows a perspective view of a sensor 1 for measuring a heat flux in accordance with an embodiment of the present invention. The sensor comprises a body 2 with a plurality of sides 3, 4, 5, 6, 7, 8, an absorptive heat flux sensor 9 operable to absorb thermal radiation and a reflective heat flux sensor 10 operable to reflect thermal radiation. The sensor may optionally be equipped with an ambient air temperature sensor 13. The body 2 comprises at least one temperature sensor 11 for measuring the temperature of the body and at least one heating member 12. In this case the two sides 3 and 8 (not visible) each contain a sensor pair, the opposite sides 4 and 7 also contain a sensor pair.

[0083] The absorptive heat flux sensor 9 operable to absorb thermal radiation is further referred to as absorptive sensor. This absorptive sensor 9 measures both convective and thermal radiation. The reflective heat flux sensor 10 operable to reflect thermal radiation is further referred to as reflective sensor. The reflective sensor 10 measures predominantly convective heat flux. The body 2 is well conducting heat, typically made of metal with a thermal conductivity of larger than 10 W/(m.Math.K) and a heat capacity larger than 18 J/K typically made of metals such as aluminium, brass or steel. Each side of the body 3, 4, 5, 6, 7, 8 is a predominantly flat surface with a different spatial orientation. Four sides side 3, 4, 7, 8 of the body 2 are equipped with the absorptive sensor 9, the reflective sensor 10 and are further referred to as measurement sides 3, 4, 7, 8. The absorptive sensor 9 and the reflective sensor 10 on the measurement sides 3, 4, 7, 8 have a substantially similar mounting surface area and field of view as further described in FIG. 3, for the respective absorption and reflection of thermal radiation to be comparable and the sensitivity to convection to be comparable. The absorptive and reflective sensors may be placed anywhere on the measurement sides 3, 4, 7, 8, as long they have a substantially similar exposure of their surface area to thermal radiation and convection. The absorptive sensor 9 is typically black coated to absorb thermal radiation, the coating may be made of a black high temperature paint qualifying as high absorptivity layer 14 the heat flux sensor may be made using a thermopile sensing element encapsulated in a plastic 16, or another method measuring a temperature difference across a solid layer and presents a thermal absorptivity between 0.8 and 1. The absorptive sensor 9 measures both a convective and a radiative heat flux, ?.sub.convection+?.sub.radiation, through its surface on the measurement side 3. The reflective sensor 10 is typically gold coated to reflect thermal radiation, may be made of a gold, silver, aluminium or nickel layer qualifying as high reflectivity layer 14 on a heat flux sensing element 17 and presents a thermal reflectivity between 0.5 and 1. Heat flux sensing elements 16, 17 convert the thermal energy of absorbed radiation for each sensor into an output signal, in case of a thermopile and electrical voltage. The reflective sensor 10 measures predominantly a convective flux ?.sub.convection through its surface on the measurement sides 3, 4, 7, 8.

[0084] By subtracting the heat flux measured by the reflective sensor 10, ?convection, from the heat flux measured by the absorptive sensor 9, ?.sub.convection+?.sub.radiation, through their surfaces of substantially equal sensitivity to convective heat flux on the measurement sides 3, 4, 7, 8, the radiative heat flux ?.sub.radiation may be estimated. The sensor 1 is therefore able to separately measure radiant and convective heat transfer on the measurement side 3. Mathematical corrections may be applied for reflectivity and absorptivity not equal to 1. The effect of projected area factors for humans in different positions such as standing and seated, can be taken into account per sensor side.

[0085] The heating member 12 is positioned in heat conducting contact with the body 2 and may be used to heat the body 2 to a predetermined temperature or at a predetermined power. Due to the body's high thermal conductivity, typically made of aluminium, brass or steel, combined with its mass, expressed as heat capacity, it internally has a low thermal resistance and the body is uniformly heated to the predetermined temperature, T.sub.sen, via heat conduction from the heating member.

[0086] The heating member must have the capability of heating the sensor body to a substantially uniform temperature, so that two sensor pairs per axis facing in substantially opposite directions are equally sensitive to radiative and convective heat flux.

[0087] The temperature sensor 11 thermally coupled with the body 2 is used to measure the temperature of the body. By controlling the body 2 to a predetermined temperature via the heating member 12 and the temperature sensor 11, radiative and convective heat transfer to an object of that particular temperature T.sub.sen, relevant to a user, can be simulated and measured. By measuring heat transfer using the absorptive sensor 9 and the reflective 10 sensor at multiple temperature levels of the body 2, from ?.sub.convection, 1, ?.sub.convection, 2 at two or more predetermined temperatures T.sub.sen, 1, T.sub.sen, 2, the air temperature T.sub.air and heat transfer coefficient C.sub.tr can both be calculated, eliminating the need for a separate air temperature measurement, and improving the level of quality assurance of the heat transfer measurements:

[00005]$C_{\mathrm{tr}}=\left({?}_{\mathrm{convection},2}-{?}_{\mathrm{convection},1}\right)/\left(T_{\mathrm{sen},1}-T_{\mathrm{sen},2}\right)$

[0088] with positive heat flux from surrounding environment to the sensor, and/or

[0089] calculate an ambient air temperature T.sub.air at or near the sensor by:

[00006]$T_{\mathrm{air}}=T_{\mathrm{sen},1}+{?}_{\mathrm{convection},1}\left(T_{\mathrm{sen},1}-T_{\mathrm{sen},2}\right)/\left({?}_{\mathrm{convection},2}-{?}_{\mathrm{convection},1}\right)$

[0090] The optional ambient air temperature sensor 13 can be also used to separately measure an air temperature. An ambient air velocity v.sub.air can further be calculated from the heat transfer coefficient using an empirical formula valid for the sensor geometry and the direction of the ambient air flow for example according to:

[00007]$v_{\mathrm{air}}={\left(\left(C_{\mathrm{tr}}-B\right)/A\right)}^2$

[0091] where A, B are constants empirically determined or taken from theory.

[0092] FIG. 2 shows a cross-sectional side view of the measurement plane 3, 4, 7 or 8 of the sensor 1 for measuring a heat flux of FIG. 1, according to an embodiment of the invention. In this embodiment, the absorptive sensor 9 comprises, besides the high absorptivity layer 14 and the thermopile sensing element 16, a calibration heating element 18. Furthermore the reflective sensor 10 comprises, besides the high reflectivity layer 15 and the heat flux sensing element 17, a calibration heating element 19.

[0093] Each calibration heating element 18, 19 is placed between the high absorptivity layer 14 and the thermopile sensing element 16 or between the high reflectivity layer 15 and the heat flux sensing element 17, respectively. Calibration heating elements 18, 19 may be identical and/or built integrally within the absorptive and reflective sensors 9, 10. The sensitivity, surface area and electrical resistance of the calibration heating elements 18, 19 are predetermined. They allow calculation of a measured calibration heat flux for a measured output voltage over or current through the calibration heating element.

[0094] By incorporating calibration heating elements 18, 19 on the heat flux sensors 9, 10, the sensors can be calibrated using a simple and unique procedure for both sensors, where the ratio of the measured calibration heat flux, ?.sub.c, to an output signal U of the thermopile or heat flux sensing element 16, 17 can be used to calculate a sensitivity E of the absorptive sensor and the reflective sensor 9, 10 according to:

[00008]$E=U/{?}_c$

[0095] In other embodiments, alternative calibration functions may also be used. Heat fluxes may also be corrected for losses to the environment, edge effects etc. During calibration the heat flux sensor surfaces may be thermally insulated. The emissivity and absorption of the sensor surfaces may be separately estimated by inspection or by experiment.

[0096] FIG. 3 shows a perspective view of the measurement surface plane 3, 4, 7 or 8 of the sensor 1 for measuring a heat flux of FIG. 1 in accordance with an embodiment of the present invention. The predominantly flat measurement surface 3, 4, 7 or 8 is equipped with an absorptive sensor 9 and a reflective sensor 10 disposed at any location on the measurement surface and comprising the high absorptivity layer 14 and the high reflectivity layer 15, respectively, exposed to environmental heat fluxes. Each of the absorptive and reflective sensors 9, 10 have a substantially similar field of view 20, 21. Each field of view 20, 21 expands substantially 180 degrees in a longitudinal and in a transverse direction in an entrance plane at the measurement side 3, in other words a solid angle of 2? sr.

[0097] FIG. 4 shows a perspective view of a sensor body 1 according to an embodiment of the invention where the body is a cylinder and the sensors, 9, 10 comprising the high absorptivity layer 14 and the high reflectivity layer 15 are deposited on 90? of the circular cross section. In another embodiment they may as well be deposited the top and bottom of the cylinder. A general requirement is that their combined field of view is between 2.5? to 4? sr. The drawing also shows examples of pairwise perpendicular axes 51, 52, and 53 representing 6 directions of a person: up-down, left-right and front-back.

[0098] FIG. 5 shows a perspective view of a sensor 25 for measuring a heat flux in accordance with an embodiment of the present invention. The sensor comprises a body 26 with a plurality of sides 27, 28, 29, 30, 31, 32, at least four absorptive heat flux sensors 33, 35, 37, 39, 41, 43 operable to absorb thermal radiation and at least four reflective heat flux sensors 34, 36, 38, 40, 42, 44 operable to reflect thermal radiation. The sensor 25 may optionally be equipped with an ambient air temperature sensor 46. The body 26 comprises at least one body temperature sensor 45 and at least a heating member 47.

[0099] The at least four absorptive heat flux sensors 33, 35, 37, 39, 41, 43 operable to absorb thermal radiation are further referred to as absorptive sensors, and the at least four reflective heat flux sensors 34, 36, 38, 40, 42, 44 operable to reflect thermal radiation are further referred to as reflective sensors. They function identically and may be placed identically as the absorptive and reflective sensors described in the embodiment of FIG. 1, where each side 27, 28, 29, 30, 31, 32 is also a flat surface with a different spatial orientation. Further the absorptive sensor and the reflective sensor have also a substantially similar mounting plane and field of view as previously described in FIGS. 3 and 4. In the present embodiment at least two sides 27, 28, 29, 30, 31, 32 are each equipped with an absorptive sensor, a reflective sensor and are further referred to as measurement sides, for the respective sensitivities to convective heat flux and absorption and reflection of thermal radiation to be comparable. The sensors may also be calibrated with respective calibration heating element such as shown previously in FIG. 2.

[0100] The heating member 47 is positioned in heat conducting contact with the body 26 and may be used to heat the body 26 to a predetermined temperature, T.sub.sen. Due to the body's thermal conductivity, typically made of aluminium, brass or steel, and internally low thermal resistance the body is uniformly heated to the predetermined temperature via heat conduction from the heating member. The temperature sensor 45 thermally coupled with the body 26 may be used to measure the temperature of the body. By controlling the body 26 to a predetermined temperature via the heating member 47 and the temperature sensor 46, radiative and convective heat transfer to an object of that particular temperature with surfaces of different orientations 27, 28, 29, 30, 31, 32, relevant to a user, can be simulated and measured for each orientation.

[0101] By measuring heat transfer using the absorptive sensor 33, 35, 37, 39, 41, 43 and the reflective sensors 34, 36, 38, 40, 42, 44 at multiple temperature levels of the body 26, from the convective heat values ?.sub.convection, 1, ?.sub.convection, 2 at two or more predetermined temperatures T.sub.sen, 1, T.sub.sen, 2, the air temperature T.sub.air and heat transfer coefficient C.sub.tr can both be calculated in the vicinity of each the at least two measurement sides, eliminating the need for a separate air temperature measurement, and improving the level of quality assurance of the heat transfer measurements, identically as in the embodiment of FIG. 1. Furthermore the ambient air velocity v.sub.air near each of the at least four measurement sides, can also be determined as in the embodiment of FIG. 1.

[0102] The drawing also shows examples of pairwise perpendicular axes 51, 52, and 53 representing 6 directions of a person: up-down, left-right and front-back.

[0103] FIG. 6 shows a system 99 for measuring thermal comfort, comprising a body 100, with the absorptive heat flux sensor 101 and the reflective heat flux sensor 102 situated on the same face 103 and having substantially similar fields of view between 1.5? and 3? sr. A temperature sensor 104, such as a thermocouple, for measuring the temperature of the body 100 is placed in heat conducting contact with the body 100. A control unit 110 is connected via control lines 115 to a heater 105 and temperature sensor 104 for heating the body 100 to a predetermined temperature, and to a temperature sensor and humidity sensor 107 for measuring the temperature and humidity of the ambient air. A terminal 116 is connected to the control unit 110. The terminal 116 comprises a user interface for the input of user commands and data to the control unit 110.

[0104] FIG. 7 shows a method of determining a thermal comfort value, in particular a predicted mean vote PMV. The control unit 110 comprises a processor and memory unit that calculate and store the PMV value and the operative temperature at the sensor body 100 by the following steps. The heater 105 is powered to set the temperature of the body 100 and sensors 101, 102 to a predetermined temperature, for example T.sub.cl in step 120. The sensor temperature T.sub.sen is stored in step 121. In step 122: [0105] the heat flux sensor signal S.sub.ab of absorptive sensor 101 and the heat flux sensor S.sub.ref of reflective sensor 102 are measured and stored in the memory of the control unit 110, [0106] the air temperature signal T.sub.air and the water vapour partial pressure signal p.sub.a of the humidity sensor are measured and stored in the memory of the control unit 110, [0107] The convective heat flux ?.sub.convection is determined from the sensor value S.sub.ref of reflective sensor 102: ?.sub.convection=S.sub.ref, [0108] the radiative heat flux radiation is determined from the difference of the sensor value S.sub.ab of the absorptive sensor 101 and the sensor value S.sub.ref of the reflective sensor 102: ?.sub.radiation=S.sub.ab?S.sub.ref, [0109] the convective heat transfer coefficient of the air, C.sub.tr is calculated by Formula 1, and [0110] the air velocity v.sub.air is determined by Formula 5.

[0111] Corrections can be implemented in step 122 to improve measurements, for example correcting ?.sub.convection, and ?.sub.radiation in case the emission and reflection of sensor coatings deviate significantly from 1, or taking the effect of projected area factors for humans in different positions such as standing and seated, into account.

[0112] In step 123 it is determined if v.sub.air >1 m/s. If this is so, a digital, optical or acoustic warning signal is generated by the control unit 110 in step 124.

[0113] In step 125, the values for the metabolic rate, M, clothing isolation I.sub.cl, clothing factor fa, the effective mechanical power W and a radiative heat transfer coefficient are entered by the user in the terminal 116 and read into the memory of the control unit 110.

[0114] In step 126: [0115] the clothing temperature Ta is calculated by the control unit 110 by Formula 5, [0116] the sensor body is controlled to Ta, as long as T.sub.sen is not within a pre-set limit from T.sub.sen, steps 120 to 125 may be repeated via step 127.

[0117] In step 128 [0118] the PMV value is calculated by Formula 4 and [0119] the operative temperature, T.sub.operative, is calculated by Formula 7. [0120] radiant an convective asymmetries are calculated by subtracting heat flux values from sensors mounted with their fields of view in opposite directions. [0121] a PMV may be calculated from a series of measurements possibly in different direction calculating a result from these measurements based on scientific judgement

[0122] The values of PMV and T.sub.operative can be stored in the memory of the control unit 110 and/or displayed on a display of terminal 116 in step 129.

Thermal Comfort

[0123] ISO 7730 clause 7 defines: Thermal comfort is that condition of mind which expresses satisfaction with the thermal environment and is assessed using subjective evaluation.

[0124] The 7730 standard presents methods to predict thermal sensation and degree of discomfort of people exposed to moderate thermal environments, like in homes, offices and cars. The methods are centered around the determination of the Predicted Mean Vote (PMV) and the associated Predicted Percentage of Dissatisfied (PPD). One of the ways to determine the PMV, described in clause 4.1, is by direct measurement, using an integrating sensor.

[0125] ISO 7726 mentions in clause 4.1.2 that determining heat fluxes ideally requires measurements in 6 opposite directions and weighing these according to the projected area factors (optical view factors) for a person. Annex B on Mean Radiant Temperature comments on projected area factors in 6 directions (up-down, left-right, front-back, pairwise perpendicular axes) for thermal comfort estimation of persons in standing and seated positions. These projected area factors indicate the relative contribution of these directions for radiative exchange. Table B.1 of ISO 7726 shows that for a seated person all 6 directions are approximately equally relevant, while for a standing person the up-down directions make a smaller contribution than the others.

[0126] ISO 7726 mentions in Clause 4.1.2 that the black globe thermometer is a device frequently used to derive an approximate value of the mean radiant temperature from the globe temperature, T.sub.g, and the temperature and the velocity of the air surrounding the globe. It also points out that the measurement with the black globe is a major source of uncertainty of the PMV measurement. Large corrections are applied. These corrections depend on the air velocity, i.e. the estimate of the velocity of natural or forced convection, which is usually not measured and thus not known, which leads to a larger measurement uncertainty than attainable with a known air velocity or direct heat flux measurements.

[0127] Instead of black globe sensor, the present invention provides a new thermal comfort measuring system 99 based on measurement of radiative and convective heat fluxes with at least four sensor pairs such as 101, 102 to the temperature controlled sensor body 100.

[0128] The thermal comfort measuring system is able to separately measure radiant and convective heat transfer from one or more sides of a (metal) heat transfer sensor body 100. To do so, at least four sides of the sensor body 100 is equipped with the heat flux sensor pair such as 101, 102: an absorptive (typically black coated) heat flux sensor 101, which measures radiative as well as convective heat flux, and a reflective (typically gold-coated) heat flux sensor 102, which measures convective heat flux only. By subtracting the 2 fluxes measured by the sensors 101,102 in the control unit 110, the radiative flux may be estimated.

[0129] Preferably, the temperature of the sensor body 100 is controlled by means of the heater 106, temperature sensor 104 and the control unit 110, so that the system 99 can measure heat fluxes at the sensor pair 101, 102 at multiple different body temperatures.

[0130] The heating member must have the capability of heating the sensor body to a substantially uniform temperature. For example, at 32? C. steady state body temperature at an air temperature between 15 and 20? C. and lower than 1 m/s air speed (typical office conditions), the temperature difference between sensors should remain below 2? C., so that two sensor pairs per axis facing in substantially opposite directions are equally sensitive to radiative and convective heat flux.

[0131] The heat fluxes in W/m.sup.2, the body temperature in ? C., possibly combined with the power in W supplied to the heater 105 and needed to maintain a fixed body temperature, and the ambient air temperature measured by the sensor 107 in ? C., are used in the control unit 110 to calculate all local parameters determining thermal transport, the fluxes caused by radiation and convection and the heat transfer coefficient.

[0132] In combination with a temperature and humidity measurement of the ambient air in % measured by the sensor 107, and user-entered parameters specific to the situation that is investigated the system 99 according to the invention can be used to predict thermal sensation and degree of discomfort (PMV and PPD) as described by ISO 7730, ASHRAE Standard 55 and CEN CR 1752. The complete system is then considered an integrating sensor to directly measure the thermal comfort as described in ISO 7730, paragraph 4.1.

[0133] When measuring at a known sensor body temperature, if the ambient air temperature is also known, or from measurements at multiple body temperatures, the local heat transfer coefficient can be estimated. From the heat transfer coefficient, the local air velocity can be calculated.

[0134] The system 99 can also be used to directly measure operative temperature. This can be done by controlling the sensor body 100 to a stable temperature, for example the clothing temperature and using the measured heat flux values at that temperature, or by calculation after performing multiple measurements at different sensor body temperatures, measured by the sensor 104 and set in the control unit through powering of the heater 105. If needed the radiative and convective transfer coefficients can be corrected to account for the properties of the occupant, resulting in an adapted estimate.

System Physics

[0135] The black coated heat flux sensor 101 measures ?.sub.radiation+?.sub.convection. The gold coated heat flux sensor 102 measures ?.sub.convection only. By subtraction, radiation can be calculated.

[0136] The sensor body can be operated at a certain constant power in W or be controlled to a certain body temperature in ? C.

[0137] The convective heat transfer coefficient of the air, with positive heat fluxes from surrounding environment (air) to the sensor, is calculated by:

[00009]$\begin{array}{cc}{C}_{\mathrm{tr}}={?}_{\mathrm{convection}}\text{/(}{T}_{\mathrm{air}}-T_{\mathrm{sen}})& \left[1\right]\end{array}$

[0138] The radiative temperature is:

[00010]$\begin{array}{cc}{T_{\mathrm{rad}}=\left(T_{\mathrm{sen}}^4+{?}_{\mathrm{radiative}}\text{/(}??\right))}^{1/4}& \left[2\right]\end{array}$

[0139] with & the absorption of the sensor coating and ? the Stefan Boltzmann constant.

[0140] The ambient air velocity can be estimated, from C.sub.tr using [1] and empirical formula's such as:

[00011]$\begin{array}{cc}{V}_{\mathrm{air}}={\left(\left(C_{\mathrm{tr}}-B\right)/A\right)}^2& \left[3\right]\end{array}$

[0141] In such empirical formula's the constants A and B may be empirically determined. Typical orders of magnitude for a single perpendicularly exposed heat flux sensor surface: A=36.7 and B=?1.25. For surfaces exposed to air flow at 45?: A=30. 0 and B=?0.78.

[0142] It is also possible to use average values of ?.sub.convection under several directions relative to the airflow to determine the air velocity.

[0143] The electrical power consumption of the heater 106 at one or more body temperature levels of the body 100, may also be used to estimate the heat transfer coefficient.

PMV, PPD Measurements

[0144] ISO 7730 expresses thermal comfort using the predicted mean vote, PMV, which is linked to the PPD index, predicted percentage dissatisfied. The PMV has a 7-point scale; hot, warm, slightly warm, neutral, slightly cool, cool and cold. From the PMV the predicted percentage dissatisfied, PPD, can be calculated. The PPD has a minimum of 5% when PMV=0 (neutral) and reaches 75% when PMV=?2 (warm or cool). A person is considered to be dissatisfied when he or she considers the environment hot, warm, cool or cold.

[0145] In more detail: PMV is a function of 6 input parameters; metabolic rate M in W/m.sup.2, clothing insulation I.sub.cl, air temperature T.sub.air, mean radiant temperature T.sub.rad, relative air velocity v.sub.air and the water vapour partial pressure p.sub.a in Pa.

[0146] One standard metabolic unit (met) corresponds to 58.2 W/m.sup.2. The metabolic rate for a sedimentary activity is considered to be 1.2 met=70 W/m.sup.2. The clothing insulation I.sub.cl is expressed in K.Math.m.sup.2/W. One standard clothing unit (clo) is 0.155 K.Math.m.sup.2/W, which corresponds to a typical set of garment worn in a working environment.

[0147] According ISO 7730, the PMV can be calculated, within a certain rated operating range defining moderate conditions, most importantly v.sub.air <1 m/s, M<4 met, I.sub.cl:<2 clo, T.sub.air 10 to 30? C.

[00012]$\begin{array}{cc}PMV=\left[0.303e^{\left(-0.036M\right)}+0.028\right]?[\left[\left(M-W\right)-3.05?{10}^{-3}\left[5733-6.99\left(M-W\right)-p_a\right]-0.42\left[\left(M-W\right)-58.15\right]-1.7?{10}^{-5}M\left(5867-p_a\right)-0.0015M\left(34-T_{air}\right)-3.96{10}^{-8}{f}_{\mathrm{cl}}\left({\left(T_{\mathrm{cl}}+273\right)}^4-{\left(T_{rad}+273\right)}^4\right)-f_{\mathrm{cl}}{C}_{tr}\left(T_{\mathrm{cl}}-T_{air}\right)\right]& \left[4\right]\end{array}$

[0148] The second term represents the heat balance between the human being and its surrounding. If the balance is negative, this will result in a cool or cold sensation. The first and second lines of the heat balance describe the heat loss by evaporation, by sweating and by respiration.

[0149] Since the largest part of the human body is covered and insulated by clothing, the heat losses through radiation and convection are calculated at the clothing surface, using its estimated surface temperature, T.sub.cl.

[0150] The third component of the heat balance gives the linearized heat loss through radiation, the fourth component the heat loss through convection. The radiation model assumes that 71% of the body area acts as a net emitter of radiative energy with an emissivity of 0.97. The remaining 29% of the area, for example between the legs, absorbs as much as it emits, resulting in a zero balance. These factors are included in the multiplier of 3.96 10.sup.?8 of the third component (0.97?0.71?5.77?10.sup.?8=3.96?10.sup.?8). In this equation, T.sub.cl is the clothing temperature, W the effective mechanical power, C.sub.tr the convective heat transfer coefficient, f.sub.cl clothing surface area factor: ratio of the surface area of the clothed body to the nude body. The effective mechanical power produced is usually set at 0 W, assuming office work or driving a car. This needs to be adapted (through user input via the terminal 116) if heavy work is done.

[0151] In a typical analysis, the user determines a typical metabolic rate, clothing surface area factor and the clothing insulation. These data are entered into the control unit 110 via the terminal 116. As a next step, in the control unit 110, T.sub.cl must then be estimated by iteration, using the 3.96 factor mentioned above again to correct radiative view factors:

[00013]$\begin{array}{cc}{T}_{\mathrm{cl}}=35.7-0.028\left(M-W\right)-I_{\mathrm{cl}}\left[3.96{10}^{-8}{f}_{\mathrm{cl}}\left({\left(T_{\mathrm{cl}}+273\right)}^4-{\left(T_{rad}+273\right)}^4\right)+f_{\mathrm{cl}}{C}_{tr}\left(T_{\mathrm{cl}}-T_{air}\right)\right]& \left[5\right]\end{array}$

[0152] Operative temperature T.sub.operative is defined in ISO 7730 as: the uniform temperature of an imaginary black enclosure, and the air within it, in which an occupant would exchange the same amount of heat by radiation plus convection as in the actual nonuniform environment.

[0153] In ISO 7726, appendix G2 gives the exact equation for a sensor for which the directional response is representative of the human body, or using a series of measurements to determine a representative heat flux Measuring ?.sub.radiation, cl and ?.sub.convection, cl, using a sensor with its body stabilised at one or more temperatures for example T.sub.cl, allows accurate calculation of T.sub.operative:

[00014]$\begin{array}{cc}{T}_{\mathrm{operative}}=T_{\mathrm{cl}}+\left({?}_{\mathrm{radiation},\mathrm{cl}}+{?}_{\mathrm{convection},\mathrm{cl}}\text{)/(}{C}_{\mathrm{tr}}+C_{\mathrm{rad}}\right)& \left[7\right]\end{array}$