METHOD AND DEVICE FOR MEASUREMENT OF LIQUID VOLUME AND/OR FLOW RATE
20190285452 ยท 2019-09-19
Inventors
Cpc classification
G01F22/00
PHYSICS
International classification
Abstract
Disclosed is a method for liquid measurements including:providing a sensor including a surface arranged to receive a liquid thereupon, an electrical heating element arranged to heat the surface, and an arrangement for measuring a temperature of the surface;receiving liquid on the sensor surface;heating the surface by means of the electrical heating element at a known rate while taking a plurality of temperature measurements thereof in function of time, the heating being at an absolute temperature of at least 90% of the boiling point of the liquid under ambient pressure; andderiving a volume or a flow rate measurement related to the liquid from the electrical heating rate and the temperature measurements.
Claims
1. Method for liquid measurements comprising: providing a sensor (1) comprising a surface (3) arranged to receive a liquid (5) thereupon, an electrical heating element (7) arranged to heat said surface (3), and an arrangement (11, 13; 7, 15) for measuring a temperature of said surface (3); receiving liquid (5) on said sensor surface (3); heating said surface (3) by means of said electrical heating element (7) at a known rate (P) while taking a plurality of temperature measurements (T) thereof in function of time (t), said heating being at an absolute temperature of at least 90% of the boiling point (T.sub.b) of said liquid (5) under ambient pressure; deriving a volume or a flow rate measurement related to said liquid (5) from said electrical heating rate (P) and said temperature measurements (T).
2. Method according to claim 1, wherein said electrical heating element (7) is provided with a predetermined electrical current (I) from a power source (9).
3. Method according to claim 1, wherein said temperature is measured by measuring the electrical resistance of said electrical heating element (7).
4. Method according to claim 3, wherein said electrical resistance is measured by providing a known current (I) to said electrical heating element while measuring the voltage drop thereacross, the resistance being calculated by Ohm's Law.
5. Method according to claim 1, wherein said heating is carried out as a series of heating pulses of predetermined duration.
6. Method according to claim 5, wherein said predetermined duration is sufficiently long to dry said surface.
7. Method according to claim 1, wherein said heating is carried out by applying power at a predetermined rate (P) insufficient to dry said surface, a flow rate measurement being derived from a steady state temperature (T) measured.
8. Method according to claim 1, wherein said heating is carried out by applying electrical power at a rate (P) insufficient to dry said surface, wherein electrical power is applied to maintain a predetermined steady state temperature (T), a flow rate measurement being derived from a measurement of said electrical power (P) applied.
9. Method according to claim 1, wherein said measurement is a flow rate measurement of an unknown flow rate.
10. Method according to claim 1, wherein said measurement is a volumetric measurement of the volume of a droplet.
11. Sensor system (25; 31) adapted to carry out the method of claim 1, comprising: a sensor (1) comprising a surface (3) adapted to receive a quantity (5) of fluid thereupon, said sensor (1) comprising an electrical heating element (7) arranged to be connected to a source of electrical power (9) and an arrangement for measuring temperature (11, 13; 7; 15); a conduit (21, 23; 37) adapted to collect a liquid sample and to transport said liquid sample to said surface (3).
12. Sensor system (25; 31) according to claim 11, wherein said arrangement for measuring temperature (7, 15) comprises said electrical heating element (7).
13. Sensor system (25; 31) according to claim 11, wherein at least a part of said conduit (21, 23; 37) comprises a wicking fabric arranged to be sandwiched between said sensor (19) and a skin surface (33) of a wearer.
14. Sensor system (25; 31) according to claim 13, wherein said conduit (21, 23; 37) extends around a peripheral wall of said sensor (1) so as to form at least one fluid pathway leading to said surface (3).
15. Sensor system (25; 31) according to claim 13, further comprising a substantially impermeable cover (39) arranged to at least partially seal said sensor system (25; 31) to said skin surface (33).
16. Sensor system (25; 31) according to claim 15, wherein said cover (39) is at least partially self-adhesive.
17. Sensor system (25; 31) according to claim 11, further comprising an analysis sensor (19) in fluid communication with said conduit and arranged such that said liquid passes through said analysis sensor (19) on its way to the surface (3) of the sensor (1).
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0025] Further details of the invention will appear more clearly upon reading the description below, in connection with the following figures which illustrate:
[0026]
[0027]
[0028]
[0029]
[0030]
[0031]
[0032]
[0033]
[0034]
[0035]
[0036]
EMBODIMENTS OF THE INVENTION
[0037]
[0038] Sensor 1 comprises a surface 3 arranged to receive liquid 5 thereupon. This surface 3 may be flat, textured, smooth, or may comprise structures to aid in attracting and retaining liquid 5. For instance, hollows, capillary channels and so on may be provided thereupon. Furthermore, this surface 3 may be interchangeable so as to be replaceable in the case in which it becomes sufficiently coated with solid solutes from the liquid that it no longer functions correctly. In terms of materials, heat-conducting surfaces are preferred, such as metals (copper, brass, steel, aluminium, nickel, gold . . . ), thermally-conductive ceramics (silicon carbide, aluminium nitride, sapphire, alumina), or similar.
[0039] Sensor 1 further comprises an electrical heating element 7, provided with electrical energy by means of a power source 9, which in this case is adapted to deliver a predetermined current I.
[0040] The sensor 1 also comprises a temperature sensor 11, illustrated here as a thermistor electrically connected to a resistance meter 13. Other forms of temperature sensor 11 are possible. In this setup, the electrical resistance of the electrical heating element 7 is known a priori as a function of temperature.
[0041]
[0042] In each case, we know that the heating power supplied can be calculated as:
P=I.sup.2R
[0043] Wherein P is heating power, I is current, and R is the electrical resistance of the electrical heating element. Power P can be integrated with respect to time to obtain the amount of heat energy Q applied, expressed in joules.
[0044] In the arrangement of
[0045] In the arrangement of
P=IV
[0046] Where P and I are defined as above, and V is the voltage drop across the electrical heating element 7 as measured by the voltmeter 15. Again, the heat energy Q applied can be calculated simply by integrating P with respect to time.
[0047] By knowing the rate of application of heat and/or the total heat applied, and the variation of temperature over time, the volume or the flow rate of the liquid 5 can be determined as described in more detail below.
[0048] Contrary to the method described in US2014/208824, the present method operates the sensor in an evaporative mode. In other words, the temperature of the sensor 1 is raised to a sufficient degree to force evaporation of the liquid 5. It is this evaporation that is primarily exploited to determine the volume or flow rate of liquid 5, rather than just a simple temperature rise. While at any temperature above freezing in ambient conditions with a relative humidity under 100% evaporation will occur naturally, it is relatively insignificant compared to the forced evaporation used in the method of the invention, in which the absolute temperature of the sample is raised to at least 90% of the absolute-temperature (expressed in Kelvin) boiling point of the liquid (in the absence of solutes) at ambient pressure, by raising the surface 3 of the sensor 1 to at least this temperature. For an aqueous liquid, this corresponds to approximately 63 C., for an ethanol-based sample to at least 43 C., and for a typical white mineral oil, 243 C. However, absolute temperatures up to 100% or even 110% of the boiling point of the liquid 5 (considered without solutes and expressed as absolute temperature in Kelvin) are also possible, particularly in the presence of large concentrations of solutes. It is also possible to use a temperature of at least 93%, at least 95%, at least 97%, or at least 99% of the absolute boiling temperature to the liquid, expressed in Kelvin. In the case of an aqueous liquid, these percentages correspond to approximately 74 C., 81 C., 89 C. and 96 C. respectively.
[0049] Firstly, a method for use of the sensor for volumetric measurements will be described. Such a method is useful for e.g. determining the volume of drops of liquid produced by a microfluidic device, a pipetting device, a syringe or similar. This exact volume is clearly unknown, although its likely range may be known a priori. The liquid may thus be provided on the surface 3 as one or more discrete droplets, rather than resulting in a complete immersion of the surface 3. This method is illustrated schematically by the idealised graph of
[0050] In this graph, the solid line represents the heating power applied, and the dashed lines represent simplified temperature profiles relating to three different liquid volumes 5. At time to, the temperature measured equals the initial temperature T.sub.0, i.e. the temperature of the surroundings. At this point in time, heating power P is applied. Heating power P is typically constant during the heating phase, but does not have to be so, and is sufficient to raise the temperature of the liquid 5 to at least 90% of its boiling temperature as described above. Typically, the sensor is configured to reach an equilibrium surface temperature when dry (i.e. when no liquid is present) which is above the boiling point of the liquid 5 to be measured. This ensures that the sensor 1 is powerful enough to carry out the method correctly. As non-limiting examples, this dry equilibrium surface temperature can be at least 110% of the boiling temperature of the liquid 5, at least 115% thereof, or even at least 120% (or more) thereof.
[0051] Between t.sub.0 and t.sub.1, the heat predominantly causes the temperature of the liquid 5 to rise. As will be seen in more detail below, t.sub.1 does not vary significantly in function of the volume of the sample, since a significant excess of heat is applied, and the latent heat of vaporisation of a liquid is significantly higher than its specific heat capacity. This can clearly be seen by comparing the values for water, namely 2257 kJ/kg latent heat of vaporisation and 4.2 kJ/kg.Math.K specific heat capacity. In this case, the specific heat capacity is only around 0.2% of the latent heat of vaporisation.
[0052] From t.sub.1 until t.sub.2 (for the smallest liquid sample illustrated, i.e. the leftmost track on the graph, the times t.sub.3 and t.sub.4 corresponding to the same point for larger samples), the temperature T remains substantially constant at or near the boiling point T.sub.b of the liquid 5 while this latter evaporates. At t.sub.2, the liquid has substantially all evaporated, and the temperature of the sensor 1 rises again until thermal equilibrium with the surroundings is reached at Tmax.
[0053] Finally, at t.sub.5, the heating phase ends, and the temperature drops back to T.sub.0 as the sensor 1 loses heat to its surroundings.
[0054] On the basis of the measurements taken (electrical power P, temperature T and time t), the amount of heat energy applied to the liquid 5 can be calculated since its specific heat capacity and latent heat of vaporisation are known.
[0055] Integrating the heating power applied between t.sub.0 and t.sub.2, t.sub.3, or t.sub.4 (as appropriate) to give the energy absorbed by the liquid, which then permits simple calculation of the mass, and hence the volume of liquid 5, by means of standard specific heat capacity and latent heat of vaporisation calculations that need not be reproduced here.
[0056]
[0057] In order to simplify determination of the liquid volume, a calibration curve can be created. This is simpler and often more accurate than calculation from first principles, since this does not require determining the times t.sub.1 and t.sub.2 on a smooth curve.
[0058] Firstly, a threshold temperature t.sub.t is defined which is ideally higher than the boiling temperature T.sub.b of the liquid but lower than the equilibrium temperature T.sub.max. In the present example, T.sub.t is 110 C., about 5% above the absolute value of T.sub.b expressed in Kelvin. This ensures that the temperature curve crosses the threshold temperature T.sub.t at a distinct, easily-determinable point, at an easily-measurable time T.sub.t.
[0059] On the basis of the calibrated tests represented in
[0060] In which v is the volume of the liquid, t is the time taken from commencing heating at t.sub.0 to crossing the threshold temperature T.sub.t at time t.sub.t (i.e. t=t.sub.tt.sub.0), k.sub.1 is a constant relating to the thermal lag of the sensor 1, and k.sub.2 is a constant relating to the thermal properties of the liquid.
[0061] In the present example, a dry sensor takes 11.4 seconds to reach the threshold temperature, hence k.sub.1=11.4, and k.sub.2 is determined from the slope of the graph of
[0062] Both k.sub.1 and k.sub.2 will vary according to the ambient temperature, and k.sub.2 will also vary according to the relative humidity, since it is a function of the rate of evaporation of the liquid. As a result, in order to increase the accuracy of the measurement, it may be desirable to generate a family of calibration curves, which are applied as a function of the ambient conditions as measured by other appropriate sensors (not illustrated). Alternatively, a single set of values of k.sub.1 and k.sub.2 can be used, with attendant loss of accuracy if the ambient conditions are significantly different. It should be noted that this calibration curve fits the data with extremely high precision, giving an R.sup.2 value of 0.9994 with a linear fit. Other liquids may produce non-linear calibration curves.
[0063] Such a calibration curve-based calculation is significantly simpler to apply than a calculation a priori based on integration, and does not need a priori knowledge of specific heat capacities and latent heats of vaporisation of the liquid being measured. Furthermore, if the sensor is required to measure the volume of samples of different liquids, at least one calibration curve may be generated for each liquid, and the controller for the sensor 1 applies the correct calibration curve, either following a manual input, or an output of a sensor which determines which type of liquid is present. Also, it is worth noting that even if the temperature measured is not exactly the same as that of the surface 3 but is merely correlated thereto, a calibration curve method automatically takes this into account and any temperature difference between the surface 3 and the measured temperature does not need to be manually accounted for.
[0064] Since the method described above results in the complete evaporation of the sample, the sensor 1 is immediately ready to receive a further sample, which is not possible with the non-evaporative method of US2014/208824.
[0065] As mentioned above, over repeated measurements the presence of solid solutes in the liquid 5 may reduce the accuracy of the sensor 1, which will periodically require cleaning, or replacement of an interchangeable surface 3.
[0066] The same sensor 1 can also be used for continuous flow rate measurements, when the sensor 1 is arranged in such a manner that fluid is introduced onto its surface 3 in a substantially continuous manner, for instance by capillary action, a microfluidic pump, or similar. As a result, the sensor 1 is suitable for verifying a flow rate provided by a microfluidic pump, amongst other roles. Even though the approximate range of the flow rate in question may be known, the exact flow rate is unknown.
[0067] In one variant of such a flow rate measurement, the sensor 1 is operated as described above for discrete volume measurements, with periodic heating pulses which are sufficiently long and powerful to ensure that the surface 3 of the sensor 1 is dried during each pulse, and the power P can be determined as required to fulfil these conditions. This is illustrated on the graph of
[0068] Since the volume of liquid 5 on the sensor 1 is being added to constantly, an integration-based calculation of flow rate from first principles is difficult, and hence a calibration-curve-based method is preferred.
[0069]
[0070] In a similar manner as before, the flow rate {dot over (v)} is given in this example by
[0071] wherein {dot over (v)} is flow rate in L/min, and t=t.sub.tt.sub.0.
[0072] And by inserting the measured values for k3 and k4 obtained from the graph, we arrive at:
[0073] Again, the values of k.sub.3 and k.sub.4 can be determined for different sets of ambient conditions (temperature, relative humidity, pressure . . . ).
[0074] It should be noted that the type of conduit used to bring liquid to the surface 3 of the sensor 1, and hence when determining the calibration curve, the sensor and all its associated elements should be set up as they will be used in reality. For instance, if a 1 cm length of wicking material will be used as a conduit to bring fluid to the surface of the sample, then this should also be used during calibration, the calibrated flow rate of liquid (e.g. from a micropump, a syringe or similar) being applied to the wicking fabric as similarly as possible to how it will be applied in use. Also, it should be noted that the previous comments regarding exactly where the temperature is measured when using a calibration curve method apply equally to volumetric measurements, which perfectly illustrates the inherent practicality of such a method.
[0075]
[0076] Since a higher flow rate results in more cooling of the sensor 1, higher flow rates result in a lower equilibrium temperature T.sub.1 and vice-versa. It should be noted that the equilibrium temperature in this embodiment is obtained with the surface 3 being wet, and is not a dry equilibrium temperature as described in relation to
[0077] From this value T.sub.1 and/or the change from the initial temperature T.sub.0, the flow rate can be determined a priori or by means of a calibration curve in a manner similar to that described above.
[0078] As an alternative to a fixed, predetermined power P, this latter can be adjusted to ensure that the surface 3 of the sensor 1 remains wet, for instance by being reduced if the temperature rises suddenly in such a manner as to indicate that the sensor 1 is dry. A further variant involves adjusting power P to maintain a predetermined temperature T.sub.1. In all of these cases, the flow rate of liquid can be determined either a priori by calculation or by means of calibration curves based on the values of P and T.sub.1 (or T) as appropriate, optionally taking into account the ambient temperature and/or pressure and/or relative humidity. In such a case, appropriate dedicated sensors can be provided.
[0079]
[0080] This system 25 takes liquid from a source 17, which may be for instance a sample of liquid in a test tube, the sweating skin of a person, or any other source, and carries it via a first conduit 21 to an input of an analysis sensor 19. This sensor may be of any convenient type, e.g. adapted to perform a biological or chemical assay, to detect particular chemical species, or similar. The output of the analysis sensor communicates with the surface 3 of the sensor 1 via a second conduit 23, so as to create a liquid pathway from the source 17, via the analysis sensor 19, to the sensor 1. These conduits may, for instance, be one or more capillary tubes, a wicking fabric, or similar. In the case of a wicking fabric, this can be enclosed in an impermeable sheath to prevent lateral evaporation from its structure.
[0081] As a result of the construction of this system 25, the sensor 1 of the invention not only provides a measurement of the flow rate of liquid through the analysis sensor 19 by means of its accompanying circuitry (not illustrated in this figure), but also helps to draw the liquid through it without the need for a microfluidic pump. Conventionally, in the absence of a pump, the measurements provided by the analysis sensor 19 will start to drift since the liquid is not being continually and positively drawn through and thus the analysis sensor 19 is not flushed through, and hence cannot clear itself properly. This leads to buildups of analytes in the analysis sensor 19, which use of the system of the invention prevents while also providing flow rate measurements which may be useful in combination with the results provided by the analysis sensor 19.
[0082]
[0083]
[0084] The sensor 1 is situated upon an insulating element 35, adapted to prevent the heat of the sensor 1 from heating the skin 33 to the degree that it becomes uncomfortable. This insulating element 35 may be of plastic, ceramic, glass, glass-ceramic, fabric, or a combination thereof. Furthermore, an infrared reflector 29, as described above, may also be provided between the sensor 1 and the skin 33.
[0085] In order to collect sweat from the skin 33 and transport it to the exposed surface 3 of the sensor 1, a wicking fabric element 37 is provided between the insulating element 35 and the skin 33, and is in contact with the latter. The wicking fabric element 37 comprises at least one wicking pathway 37a leading around the sides of the sensor 1 to its exposed surface 3, so as to transport excreted sweat thereto. This construction minimises evaporative loss from the wicking fabric element 37, and results in a particularly compact structure. Alternatively, the wicking fabric element 37 may extend to the side of the sensor 1, which results in a less compact sweat rate sensor 31 in terms of the area of skin it occupies.
[0086] In order to prevent evaporative loss of sweat on its way to the surface 3, a substantially impermeable cover 39 at least partially seals the sweat rate sensor 31 to the skin 33. This cover 39 may for instance be made of a flexible polymer, silicone rubber or similar, and may be omitted if sweat losses are trivial.
[0087] The sweat rate sensor 31 can be affixed to the skin of a person e.g. by means of a strap, or an adhesive support similar to that used for venous catheters, but sized to surround the sweat rate sensor 31. Such an adhesive support may also serve as the cover 39, so as to attach the sweat rate sensor 31 to the skin of a wearer.
[0088] Once sweat produced by the sweat glands in the skin 33 has reached the surface 3 of the sensor 1, this latter can be operated according to one of the methods described above so as to provide measurements of the rate of sweating. The capillary pressure caused by the heated surface 3 and the continuous evaporation of the sweat 5 continuously draws the sweat from the skin 33 to the surface 3.
[0089] Furthermore, in order to prevent air movements (originating e.g. from wind or resulting from movements of the wearer) from affecting the rate of evaporation of the liquid 5, an optional semipermeable membrane 41 may be provided. Such a membrane may be made of Gore-Tex (porous polytetrafluoroethylene) or similar material which allows water vapour to pass through, but is substantially impermeable to liquid water. As a result, forced evaporative cooling is reduced, and the evaporation rate is rendered substantially independent of air flows adjacent to the sensor 1. This membrane 41 may be bonded to the cover 39, or may be bonded to the sensor 1, e.g. to its surface 3 or to its outer wall. A passage for the conduit 37 may be provided if needed.
[0090] This sweat rate sensor 31 may also comprise a analysis sensor interposed in the fluid pathway between the skin and the surface 3, in the manner disclosed in reference to
[0091] Although the invention has been described in terms of particular embodiments, various modifications are possible without departing from the scope of the invention as defined in the appended claims.