DYNAMIC COLLECTION DEVICE FOR OIL FILM AND TEMPERATURE DISTRIBUTION IN GRINDING ZONE AND OPERATING METHOD THEREOF
20250083280 ยท 2025-03-13
Assignee
Inventors
- Yanbin ZHANG (Shandong, CN)
- Wenyi Li (Shandong, CN)
- Xin CUI (Shandong, CN)
- Changhe LI (Shandong, CN)
- Zongming ZHOU (Shandong, CN)
- Shuaiqiang XU (Shandong, CN)
- Bo Liu (Shandong, CN)
- Yun CHEN (Shandong, CN)
Cpc classification
B24B55/03
PERFORMING OPERATIONS; TRANSPORTING
Y02P70/10
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
B24B55/02
PERFORMING OPERATIONS; TRANSPORTING
B24B41/00
PERFORMING OPERATIONS; TRANSPORTING
B24B49/14
PERFORMING OPERATIONS; TRANSPORTING
International classification
B24B55/02
PERFORMING OPERATIONS; TRANSPORTING
B24B41/06
PERFORMING OPERATIONS; TRANSPORTING
Abstract
Provided in the present invention are a dynamic collection device for an oil film and temperature distribution in a grinding zone and an operating method thereof. A spectroscope and a 45-degree flat mirror are utilized to carry out optical imaging of the permeation and infiltration of the grinding fluid in a grinding zone during a grinding process, and a video signal imported into a high-speed camera is converted into a digital signal processed by a CCD photosensitive element, and a dynamic image is imported for dynamic collection. Infrared radiation emitted from the grinding zone is reflected through the 45-degree flat mirror, and transmitted to the thermal imaging camera, and the signal is transmitted to an internal infrared detector. The infrared detector adjusts and amplifies the received signal and outputs it to an infrared thermal imaging chip. After image processing, the temperature distribution image is imported for dynamic collection.
Claims
1. A dynamic collection device for an oil film and temperature distribution in a grinding zone, wherein the dynamic collection device comprises a clamp body structure, an optical detection system structure and a magnetic workbench; the magnetic workbench adsorbs and fixes the clamp body structure, the optical detection system structure is fixed and connected to the clamp body structure, and a workpiece is fixed on the clamp body structure; and in a grinding process of the workpiece, the clamp body structure images the grinding zone, and transmits an image to the optical detection system structure, the optical detection system structure adjusts a lens distance and a horizontal position according to a grinding situation, and carries out a signal processing, and finally generates an image of a permeation and infiltration film formation of a lubrication fluid and an image of a dynamic temperature distribution.
2. The dynamic collection device for an oil film and temperature distribution in a grinding zone according to claim 1, wherein the clamp body structure comprises a clamp body shell, an adsorption chassis, a clamping assembly and a telescopic sealing assembly; the clamp body shell is fixed on the adsorption chassis, and the adsorption chassis is energized and adsorbed by the magnetic workbench; the clamping assembly is fixed on an upper surface of the clamp body shell and is used for clamping and fixing the workpiece from a side of the workpiece; and the telescopic sealing assembly is installed in an internal cavity groove of the clamp body shell, the telescopic sealing assembly is used to abut against a bottom of the workpiece so as to form a sealing structure, and images the grinding zone through a mirror group in the sealing structure.
3. The dynamic collection device for an oil film and temperature distribution in a grinding zone according to claim 2, wherein the clamping assembly comprises a support plate, a first positioning plate and a micro hydraulic clamping mechanism mounted on the clamp body shell; and the workpiece is placed on the support plate, and is in contact with the first positioning plate and positioning nails to achieve six-point positioning, and an upper end of the workpiece is clamped by the micro hydraulic clamping mechanism.
4. The dynamic collection device for an oil film and temperature distribution in a grinding zone according to claim 2, wherein the telescopic sealing assembly comprises a boss, a moving platform and the mirror group; the boss is mounted in the internal cavity groove of the clamp body shell, and an inner part of the boss is a square internal hollowed structure; the mirror group is mounted in the square internal hollowed structure of the boss, the mirror group comprises a spectroscope and a 45-degree flat mirror, wherein the spectroscope is arranged facing a detection area of the workpiece, and the 45-degree flat mirror is vertically placed at a bottom of the spectroscope; and the moving platform is mounted on a side of the boss, and is driven by a motor to rise vertically along the boss to abut against the bottom of the workpiece; and the moving platform, the boss and the workpiece form the sealing structure.
5. The dynamic collection device for an oil film and temperature distribution in a grinding zone according to claim 1, wherein the optical detection system structure comprises a lead screw moving platform, a detection mirror group and a connecting rotary buckle; the detection mirror group is fixed on the lead screw moving platform, and controls left and right movements of the detection mirror group by the lead screw moving platform; and the connecting rotary buckle is used to fix and be connected with the clamp body structure, so that the detection mirror group on the lead screw moving platform is facing a mirror group in the clamp body structure.
6. The dynamic collection device for an oil film and temperature distribution in a grinding zone according to claim 5, wherein the lead screw moving platform adopts a motor lead screw mechanism to control a rotating distance of a lead screw through a motor, so that the lead screw moving platform moves within a range of micron level, and adjusts a position of the detection mirror group according to dynamic collection demands.
7. The dynamic collection device for an oil film and temperature distribution in a grinding zone according to claim 5, wherein the detection mirror group comprises an infinite-distance objective lens, a focusing cylinder, an extension cylinder, a camera and an imaging element successively connected; wherein the camera is a high-speed camera or a thermal imaging camera, and the imaging element is a CCD photosensitive element or an infrared thermal imaging chip, and the high-speed camera and the CCD photosensitive element are used when collecting the permeation and infiltration film formation of the lubrication fluid, and the thermal imaging camera and the infrared thermal imaging chip are used when collecting the dynamic temperature distribution.
8. An operating method based on the dynamic collection device for the oil film and temperature distribution in the grinding zone according to claim 5, characterized by comprising: configuring the dynamic collection device according to the dynamic collection demands; in the grinding process of the workpiece, imaging the grinding zone by utilizing the configured dynamic collection device, and carrying out the signal processing, and finally generating the image of the permeation and infiltration film formation of lubrication fluid and the dynamic temperature distribution; wherein the dynamic collection demands are divided into the permeation and infiltration film formation of the lubrication fluid and the dynamic temperature distribution.
9. The operating method based on the dynamic collection device for an oil film and temperature distribution in a grinding zone according to claim 8, wherein configuring the dynamic collection device is specifically as follows: if the image of the permeation and infiltration film formation of the lubrication fluid is generated, mounting a spectroscope and fixing the spectroscope by a spectroscope stopper, and turning on a controllable LED light strip and adjusting brightness thereof by an external remote control; and if the image of the dynamic temperature distribution is generated, removing the spectroscope and turning off the controllable LED strip.
10. The dynamic collection device for an oil film and temperature distribution in a grinding zone according to claim 8, wherein the dynamic collection device adjusts a horizontal position of the detection mirror group and a focal length of the detection mirror group through two ways of coarse adjustment and fine adjustment.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0052] The accompanying drawings forming a part of the present invention are used to provide further understanding of the present invention, and the schematic embodiments of the present invention and their descriptions are used to interpret the present invention and do not constitute undue limitations of the present invention.
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[0092] In the figures, I clamp body structure, II optical detection system structure, III magnetic workbench, IV grinding wheel and V acrylic glass workpiece; [0093] I-1 clamp body shell, I-1-1 support plate fixing slot, I-1-2 hydraulic mechanism fixing slot, I-1-3 hydraulic system groove, I-1-4 internal cavity groove, I-1-5 motor slot, I-1-6 detection hollowed area, I-2 adsorption chassis, I-3 clamping assembly, I-3-1 first positioning plate, I-3-2 micro-hydraulic clamping mechanism, I-3-3 second positioning plate, I-3-4 hydraulic clamping mechanism fixing sealing plate, I-3-5 positioning nail, I-3-6 support plate, I-3-7 vacuum sucker fixing sealing plate, I-3-8 vacuum sucker, I-4 telescopic sealing assembly, I-4-1 45-degree flat mirror, I-4-2 flat mirror splint, I-4-3 flat mirror bottom plate, I-4-4 motor cover, I-4-5 guide rail slide block, I-4-6 boss, I-4-6-1 square internal hollowed structure, I-4-6-2 side hollowed structure, I-4-6-3 chute structure, I-4-7 motor sealing plate, I-4-8 gear, I-4-9 guide rail, I-4-10 spectroscope, I-4-11 first micro motor, I-4-12 controllable LED light strip, I-4-13 gear rack, I-4-14 moving platform, I-4-15 spectroscope stopper, I-4-16 spectroscope stopper bottom plate, I-5 boss sealing plate, I-5-1 boss sealing plate bottom groove, I-6 first sealing strip, I-7 second sealing strip, I-8 third sealing strip, I-9 shell groove; [0094] II-1 placing platform, II-2 computer, II-3 box body, II-3-1 box body, II-3-2 circular gradienter, II-3-3 data line, II-3-4 box body chassis, II-3-5 adjustable leg, II-3-6 plug, II-4 lead screw moving platform, II-4-1 second micro motor, II-4-2 first motor seat, II-4-3 first bearing seat, II-4-4 connecting bottom plate, II-4-5 second bearing seat, II-4-6 moving platform bottom plate, II-4-7 moving platform, II-4-8 second motor seat, II-4-9 third micro motor, II-4-10 pulley, II-4-11 synchronous belt, II-4-12 lead screw, II-4-13 coupling, II-5 detection mirror group, II-5-1 high-speed camera/thermal imaging camera, II-5-2 camera adapter ring, II-5-3 first extension cylinder, II-5-4 anchor ear, II-5-5 second extension cylinder, II-5-6 first focusing cylinder component, II-5-7 second focusing cylinder component, II-5-8 tube mirror, II-5-9 infinite objective lens adapter ring, II-5-10 infinite objective lens, II-5-11 fixing pin, II-6 connecting rotary buckle, II-6-1 detection mirror group sealing plate, II-6-1-1 detection mirror group sealing plate rotary buckle, II-6-2 clamp body sealing plate, II-6-2-1 flexible protective cover, II-6-2-2 clamp body sealing plate rotary buckle.
DESCRIPTION OF THE EMBODIMENTS
[0095] The present invention is further explained in combination with the drawings and embodiments below.
First Embodiment
[0096] Discloses in this embodiment is a dynamic collection device for an oil film and a temperature distribution in a grinding zone. As shown in
[0097] When the dynamic temperature distribution of the grinding zone is collected, the controllable LED light strip is turned off by the external remote control, and the spectroscope is removed from the inside of a boss to avoid interference with the infrared radiation emitted from the grinding zone by an external light temperature and unnecessary reflection. The high-speed camera is replaced by a thermal imaging camera, and a grinding detection begins after the overall equipment is sealed. A camera of the thermal imaging camera transmits a signal to an internal infrared detector, the infrared detector adjusts and amplifies the received signal and outputs the amplified signal to an infrared thermal imaging chip. After a series of image processing, a temperature distribution image is imported, through the data line, into the screen of the computer for dynamic collection.
[0098] As shown in
[0099] The magnetic workbench III can adsorb and fix the clamp body structure I, the clamp body structure I can locate and clamp the acrylic glass workpiece V, the grinding wheel IV performs grinding on the acrylic glass workpiece V while the optical detection system structure II can adjust a lens distance and a horizontal position according to a grinding condition, which can achieve a better image collection function.
[0100] As shown in
[0101] As shown in
[0102] As shown in
[0103] As shown in
[0104] As shown in
[0105] As shown in
[0106] As shown in
[0107] As shown in
Second Embodiment
[0108] Disclosed in this embodiment is a dynamic collection device for an oil film and temperature distribution in a grinding zone.
[0109] As shown in
Third Embodiment
[0110] Disclosed in this embodiment is an operating method of a dynamic collection device for an oil film and temperature distribution in a grinding zone.
[0111] An operating method of a dynamic collection device for an oil film and temperature distribution in a grinding zone, the method comprising: [0112] configuring the dynamic collection device according to dynamic collection demands; [0113] in the grinding process of the workpiece, imaging the grinding zone by utilizing the configured dynamic collection device, and carrying out the signal processing, and finally generating an image of permeation and infiltration film formation of lubrication fluid and the dynamic temperature distribution; [0114] wherein the dynamic collection demands are divided into the permeation and infiltration film formation of the lubrication fluid and the dynamic temperature distribution.
[0115] The specific scheme in this embodiment can be realized with reference to the following contents:
[0116] Step S1: a magnetic workbench III is energized and absorbs a clamp body structure I, connects an optical detection system structure II and the clamp body structure I through a rotary buckle II-6, and uses a data line to connect a high-speed camera/thermal imaging camera II-5-1 and a screen of a computer II-2.
[0117] Step S2: an acrylic glass workpiece V is mounted and positioned and clamped with micro-hydraulic clamping mechanisms I-3-2; under a drive control of a first micro motor I-4-11, a moving platform I-4-14 is abutted against the bottom of the acrylic glass workpiece V; if an image of permeation and infiltration film formation performance of the lubrication fluid is generated, it is necessary to mount a spectroscope I-4-10 and fix it through a spectroscope stopper I-4-15, and a controllable LED light strip I-4-12 is turned on and its brightness is adjusted by an external remote control; and if a dynamic temperature distribution image is generated, it is necessary to remove the spectroscope I-4-10 and turn off the controllable LED light strip I-4-12.
[0118] Step S3: a second micro motor II-4-1 and a third micro motor II-4-9 drive and control a lead screw moving platform II-4 and telescopic focusing of a second focusing cylinder component II-5-7, respectively, so that a detection mirror group II-5 can fully image a grinding zone to the screen of the computer II-2, and this operation is a coarse adjustment.
[0119] Step S4: a grinding machine is started so that a grinding wheel IV starts grinding in the grinding zone of the acrylic glass workpiece V, and an image of the permeation and infiltration film formation of the lubrication fluid and dynamic temperature distribution begins to be generated.
[0120] Step S5: at the same time of grinding, if the accuracy of the generated image is not high, the horizontal position and focal length of the detection mirror group II-5 are carefully adjusted by the second micro motor II-4-1 and the third micro motor II-4-9 within a certain accuracy range.
[0121] Step S6: a power supply of the grinding machine, a power supply of the magnetic workbench III, the hydraulic system and the controllable LED strip are turned off after generation.
[0122] Taking magnetic field assisted deep grinding as an example, energy consumed by removing a unit material volume during the grinding is much higher than other cutting methods, and a lot of heat is generated in the grinding zone. A high grinding zone temperature would not only affect the quality of a machined surface and the service life of the grinding wheel, but also affect the performance of the lubrication fluid. Due to an increase of the grinding depth in the strong grinding, the arc length of the grinding zone is several times to dozens of times larger than that of ordinary grinding, and the characteristics of high heat generated by the negative front angle cutting of the grinding wheel particles, resulting in a significant increase in a grinding force, grinding power and grinding heat, resulting in workpiece surface burn and aggravated grinding wheel life wear. It has been shown that the applied magnetic field can significantly improve the wettability of cutting fluid in the cutting zone, and the wettability mechanism of the tool/workpiece boundary magnetic field assisted capillary channel is analyzed. A complex micro-nano channel network is formed during the grinding of the grinding wheel/workpiece interface, which is more likely to provide channels for impregnating agent. Therefore, the magnetic field is applied in the grinding zone to improve the wettability of nano-fluid at the micro-nano interface of large arc length closed grinding, and dynamic collection of its permeation and infiltration and the temperature distribution is more valuable and challenging.
[0123] In order to solve the above problems related to the permeation and infiltration performance of the lubrication fluid, the high-speed camera and thermal imaging camera are used as main detection equipments in this embodiment. The length of the acrylic glass workpiece s.sub.0 ranges in 50-300 mm and the length s.sub.0 is selected as 150 mm, and the width s.sub.1 ranges in 10-200 mm and the width s.sub.1 is selected as 60 mm. The height $2 ranges in 1-20 mm and the height s.sub.2 is selected as 5 mm. The size of the middle hollowed area is a square of which the length x.sub.0 and the width x.sub.1 are both 20 mm. Due to the need for complete imaging, the horizontal length and width of the flat mirror ranges in 10-100 mm, and the flat mirror herein is selected as a 45 flat mirror of which the horizontal length and width are both 20 mm. Therefore, a distance between the permeation and infiltration detection zone and the infinite objective lens through the plane mirror imaging, that is, an object distance can be calculated as follows:
[0124] In the formula, d.sub.1 is equal to the thickness of the acrylic glass which is 5 mm, d.sub.2 is the support length of the support plates which is 10 mm, and d.sub.3 is the horizontal length of the flat mirror which is 20 mm, so the distance d.sub.0 between the permeation and infiltration detection zone and the infinite objective lens through the plane mirror imaging is about 35 mm.
[0125] Since the size of the smallest object that the human eyes can see is 0.1 mm-0.2 mm, the magnetic fluid infiltration test detection device needs to reach the accuracy of a micron level, 1 m-0.001 mm, so the overall detection device needs to be amplified about 100 times, the value of the infinite objective lens magnification .sub.1 ranges in 10-300 times, and magnification of 10 times is selected here, and an infinite objective lens of different magnification sizes can also be used for replacement according to needs, with a numerical aperture of 60 mm and a focal length of 200 mm. Therefore, it is necessary to use a tube mirror of 200 mm focal length in combination with the infinite objective lens, which can make a perfect correction on the aberration of the objective lens, and the combined objective lens has a wide field of view. However, since the aperture of the tube mirror is not 60 mm, an imported tube mirror Raynox DCR-150 is selected here. Its front aperture is 52 mm and the rear aperture is 43 mm, so the objective lens needs a 60 mm to 52 mm adapter ring, and the thickness of the adapter ring is about 1.5 mm. The above is a selected example, and the specific parameters need to be matched according to the parameters of the selected infinite distance objective lens.
[0126] Due to the possibility of focusing processing in a later stage, a focusing cylinder is attached behind the tube mirror, and the value of focusing cylinder ranges in 1-300 mm. The value of the focusing cylinder is selected in 28-65 mm here, which can support the tube mirror to focus in an indefinite distance under various flange distances. A distance between the focused light and a photosensitive element is far away, so an extension cylinder is needed, of which the function is to shorten the focusing distance of the lens and improve the macro performance of the lens. The length of the extension cylinder ranges in 10-100 mm. Here, one extension cylinder with a length b.sub.1 of 30 mm and two extension cylinders with a length b.sub.2 of 50 mm are used for superposition. Its magnification can be calculated according to the following formula:
[0127] Where n.sub.1 is an original magnification, L.sub.1 is a total length of the extension cylinder, and f.sub.0 is the focal length of the lens.
[0128] Since the entire stacked mirror group needs to be connected to the high-speed camera, an rear interface of the extension cylinder needs to be connected to an adapter ring for 52 mm to an arbitrary bayonet aperture. The selection here is based on the lens aperture of the high-speed camera. The overall detection device is too long, and it is necessary to adjust the center of gravity of the device with a quick mounting plate and an anchor ear to increase the stability of the device.
[0129] For the selection of high-speed camera frame rate requirements, because the linear speed of the grinding wheel in the magnetofluid infiltration test is 30 m/S-100 m/s, according to a calculation formula of the linear speed of the grinding wheel:
[0130] Where D.sub.0 is the outer diameter of the grinding wheel which is 300 mm, N is a rotation speed, the size of the rotation speed of the grinding wheel can be calculated, N.sub.1 is about 96 r/s, N.sub.2 is about 106 r/s, if 1/10th of rotation of the grinding wheel is 1 frame, the frame rate of the high-speed camera needs to be greater than 1100 frames, and the frame rate of the high-speed camera ranges in 500-10000 frames.
[0131] For the photosensitive element of the high-speed camera, a CCD charge coupled element is selected, of which the size ranges in -1 inch, the size is selected as inch herein, the target surface size thereof is 4.8 mm in width3.6 mm in height, diagonal lines are of 6 mm. Because the demand of imaging, the size of the final image is needed to be greater than or equal to the diameter of the photosensitive element which is 6 mm. The magnification of the camera lens ranges in 1-20. Here, the magnification of the camera lens is selected as 1, or it can be selected within the range according to an actual situation. The size of the field of view FOV can also be calculated as follows:
FOV=sensor size/
[0132] The sensor size is the target surface size of the CCD photosensitive element, which is 4.8 mm in width and 3.6 mm in height, so the size of the field of view FOV is also 4.8 mm in width and 3.6 mm in height.
[0133] Using a basic imaging principle formula as follows:
[0134] Where f is the focal length of the camera lens, u is the object distance, and v is the image distance.
[0135] According to a similar triangle principle:
[0136] Where is the magnification of the camera lens, d is the diameter of the image plane which is 6 mm, D is the diameter of the object plane, so the diameter of the object plane is 6 mm.
[0137] Due to the need for convenient observation, a back-end interface of the high-speed camera would be connected to the screen of the computer, and a dynamic image on the CCD photosensitive element would be displayed on the screen of the computer, which can be calculated according to an electronic magnification formula as follows:
[0138] Where L.sub.2 is the length of the diagonal line of the screen monitor of the computer, its value ranges in 10-50 inches, which is selected as 19 inches here, d is the image plane diameter of 6 mm, so the electronic magnification is (1925.4)/6 which is about 80.43.
[0139] The electronic magnification can then be calculated according to the following formula:
[0140] Where is the magnification of the camera lens, so the electronic magnification is 80.43.
[0141] When the dynamic temperature distribution of the grinding zone is collected, the controllable LED light strip is turned off by the external remote control, and the spectroscope is removed from the inside of a boss to avoid interference with the infrared radiation emitted from the grinding zone by an external light temperature and unnecessary reflection. The high-speed camera is replaced by a thermal imaging camera, and a grinding detection begins after the overall equipment is sealed. A camera of the thermal imaging camera transmits a signal to an internal infrared detector, the infrared detector adjusts and amplifies the received signal and outputs the amplified signal to an infrared thermal imaging chip. After a series of image processing, a temperature distribution image is imported, through the data line, into the computer screen for dynamic collection.
[0142] When the surface temperature of the object is higher than absolute zero, infrared radiation would be emitted, and the surface temperature of the measured object would directly affect the intensity of its infrared radiation energy and the distribution of energy according to the wavelength. Therefore, we can obtain the surface temperature of the object and a distribution thereof by measuring the infrared radiation of the object.
[0143] For an ideal radiation source which is the blackbody, the relationship between the radiation energy and the temperature conforms to Planck's law, that is:
[0147] According to the formula, as the temperature of the object rises, the radiation energy increases, which is a starting point of the infrared radiation theory. At the same time, according to the Steffen-Boltzmann law, the relationship between the total power of the infrared radiation of the object and the temperature is as follows:
P=T.sup.4 [0148] Where: Pthe infrared radiation power of the object, W.Math.m.sup.2; [0149] Tthe thermodynamic temperature of the object, K; [0150] infrared emissivity of the object surface; [0151] a Steffen-Boltzmann constant, 5.6710.sup.8 W/(m.sup.2.Math.K.sup.4);
[0152] According to the Steffen-Boltzmann law, it is not difficult to find that the energy level of the infrared radiation of the object is proportional to the fourth power of its thermodynamic temperature and the surface emissivity of the object. The higher the temperature, the stronger the infrared radiation, and a slight change in the temperature of the object would significantly affect the infrared radiation intensity of the object. Therefore, the surface temperature of the object can be obtained by measuring the infrared radiation of the object.
[0153] According to an actual situation of a grinding process, through an analysis of a simplified capillary channel model of a grinding arc zone, forces that the liquid is subjected to during its ascent are a capillary driving force F.sub.c, a viscous resistance F.sub.v and a gravity F.sub.G.
[0154] Where the capillary driving force F.sub.c can be obtained from Young-Laplace:
[0155] Where is a surface tension of the infiltration liquid, R is the radius of a capillary channel, is a liquid contact angle, and R is a curvature radius of the liquid surface.
[0156] The total capillary driving force is:
[0157] The viscous resistance F.sub.v can be determined by the Newton's law of internal friction in viscous fluids and the Hagen-Poiseuille equation.
[0158] According to the Newton's law of internal friction, a viscous shear force in a capillary is as follows:
[0159] is the viscosity of the liquid, v is a flow velocity of the liquid, and r is a distance from a tube wall.
[0160] The Hagen-Poiseuille equation for liquid flow in the capillary is as follows:
[0161] Where p is a fluid pressure, z is a distance to the bottom of the capillary, performing integral to the above equation to obtain the following:
[0162] The flow rate changing along the radius in the capillary can be replaced by an average flow rate. The average flow rate is the flow rate per unit area, then:
[0163] It can be solved that:
[0164] At the capillary r=R
[0165] Therefore, the viscous resistance F.sub.v in the capillary is as follows:
[0166] Where l is the length of capillary permeation in the grinding zone. A rising height of the liquid in the capillary micro-channel in the grinding zone can be ignored, therefore:
F.sub.G=0
[0167] A resultant force in capillary flowing is as follows:
[0168] The momentum theorem of the cooling liquid in the capillary micro-channel is as follows:
[0169] Where m is the mass of the fluid, m=R.sup.2l,
and therefore:
[0170] Namely,
[0171] Namely,
[0172] When the cooling lubrication fluid permeates in the capillary micro-channel in the grinding zone, the size of different forces on the liquid at different stages would always be in a changing stage with the change of permeation time. Therefore, the liquid flowing in the capillary channels needs to be studied in different stages.
A Stage of Inertial Force Action
[0173] When the cooling lubrication fluid just contacts the grinding zone, the viscous resistance in the flowing process is very small, and the inertial force plays a main role, then the above formula can be written as follows:
[0174] By solving this equation, we can get:
[0175] In this stage, the permeation length of the liquid in the capillary micro-channel is linearly related to the permeation time.
Inertia ForceViscous Force Action Area
[0176] With the further permeation of the cooling lubrication fluid, the capillary driving force, inertia force and viscous force of the liquid in the flowing process jointly dominate the permeability of the liquid in the capillary micro-channel. Let
then the above formula can be written as follows:
[0177] Solving this differential equation, we can get:
A Stage of Viscous Force Action
[0178] With the further permeation of the liquid, the viscous resistance of the liquid in the capillary micro-channel is increasing, and the inertia force of the liquid is close to 0, then ignoring the inertia force, we can obtain:
[0179] The above are only preferred embodiments of the present invention and are not intended to limit the present invention, which may have various changes and variations for a person skilled in the art. Any modification, equivalent replacement and improvement etc. made within the spirit and principle of the present invention shall be included in the protection scope of the present invention.