THERMAL SCIENCE
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EFFECT OF THERMOPHORESIS ON NATURAL CONVECTION BOUNDARY LAYER FLOW OF A MICROPOLAR FLUID
ABSTRACT
The present investigation deals with obtain the solution natural convection boundary layer flow of a micropolar fluid with thermophoresis. The similarity method is used to obtain solution for the governing equation. Four different cases of flows have been studied namely a vertical isothermal surface, vertical surface with uniform heat flux, a plane plume and flow generated from a horizontal surface. Numerical computations are carried out for the non-dimensional physical parameter. The results are analyzed for the effect of different physical parameters such as thermophoresis, Prandtl number, microrotation parameter, buoyancy parameter and Shmidt number of the fluid.
KEYWORDS
thermophoresis, micropolar, heat and mass transfer, natural convection, boundary layer, similarity solution
PAPER SUBMITTED: 2009-01-01
PAPER REVISED: 2009-04-06
PAPER ACCEPTED: 2009-04-12
DOI REFERENCE: https://doi.org/10.2298/TSCI1001171B
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REFERENCES
[1] Erigen, A. C., Theory of Micropolar Fluids, Journal of Mathematics and Mechanics, 16 (1966), 1, pp. 1-18
[2] Erigen, A. C., Theory of Thermomicropolar Fluids, Journal of Mathematical Analysis and Application, 38 (1972), 2, pp. 480-496
[3] Goldsmith, P., May, F. G., Diffusiophoresis and Thermophoresis in Water Vapour Systems, in: Aerosol Science (Ed. C. N. Davies), Academic Press, London, 1966, pp. 163-194
[4] Talbot, L., et al., Thermophoresis of Particles in a Heated Boundary Layer, J. Fluid Mech., 101 (1980), 4, pp. 737-758, 10.1017/s0022112080001905
[5] Brock, J. R., On the Theory of Thermal Forces Acting on Aerosol Particles, J. Colloid Sci., 17 (1962), 8, pp. 768-770, 10.1016/0095-8522(62)90051-x
[6] Hales, J. M., Schwendiman, L. C., Horst, T. W., Aerosol Transport in a Naturally-Converted Boundary Layer, Inter. J. Heat Mass Transfer, 15 (1972), 10, pp. 1837-1849, 10.1016/0017-9310(72)90057-9
[7] Goren, S. L., Thermophoresis of Aerosol Particles in the Laminar Boundary Layer on a Flat Plate, J. Colloid Interface Sci., 61 (1977), 1, pp. 77-85
[8] Epstein, M., Hauser, G. M., Henry, R. E., Thermophoretic Deposition of Particles in Natural Convection Flow from a Vertical Plate, J. Heat Transfer, 107 (1985), 2, pp. 272-276, 10.1115/1.3247410
[9] Mills, A. F., Hang, X., Ayazi, F., The Effect of Wall Suction and Thermophoresis on Aerosol-Particle Deposition from a Laminar Boundary Layer on a Flat-Plate, I. J. Heat Mass Transfer, 27 (1984), 7, pp. 1110-1113, 10.1016/0017-9310(84)90127-3
[10] Tsai, R., A Simple Approach for Evaluating the Effect of Wall Suction and Thermophoresis on Aerosol Particle Deposition from a Laminar Flow over a Flat Plate, I. Com. Heat Mass Transfer, 26 (1999), 2, pp. 249-257, 10.1016/s0735-1933(99)00011-1
[11] Jia, G., Cipolla, J. W., Yener, Y., Thermophoresis of a Radiating Aerosol in Laminar Boundary-Layer Flow, J. Thermophys. Heat Transfer, 6 (1992), 3, pp. 476-482
[12] Jayaraj, S., Finite Difference Modelling of Natural Convection Flow with Thermophoresis, Internet. J. Numer. Methods Heat Fluid Flow, 9 (1999), 6, pp. 692-704, 10.1108/09615539910286033
[13] Jayaraj, S., Dinesh, K. K., Pillai, K. L., Thermophoresis in Natural Convection with Variable Properties, Heat Mass Transfer, 34 (1999), 6, pp. 469-475, 10.1007/s002310050284
[14] Chiou, M. C., Effect of Thermophoresis on Sub-Micron Particle Deposition from a Forced Laminar Boundary Layer Flow on to an Isothermal Moving Plate, Acta Mech., 129 (1998), 3-4, pp. 219-229
[15] Chiou, M. C., Cleaver, J. W., Effect of Thermophoresis on Sub-Micron Particle Deposition from a Laminar Forced Convection Boundary Layer Flow on to an Isothermal Cylinder, J. Aerosol. Sci., 27 (1996), 8, pp. 1155-1167, 10.1016/0021-8502(96)00045-6
[16] Selim, C. A., Hossaina, M. A., Rees, D. A. S., The Effect of Surface Mass Transfer on Mixed Convection Flow Past a Heated Vertical Flat Permeable Plate with Thermophoresis, International J. Thermal Science, 42 (2003), 10, pp. 973-982, 10.1016/s1290-0729(03)00075-9
[17] Chamkha, A. J., Pop, I., Effect of Thermophoresis Particle Deposition in Free Convection Boundary Layer from a Vertical Flate Plate Embedded in a Porous Medium, Inter. Comm. Heat mass Transfer, 31 (2004), 3, pp. 421-430, 10.1016/j.icheatmasstransfer.2004.02.012
[18] Gorla, R. S. R., Lin, P., Yang, A., Asymptotic Boundary Layer Solution for Mixed Convection from a Vertical Surface in a Micropolar Fluid, I. J. of E. S., 28 (1990), 6, pp. 525-533
[19] Gorla, R. S. R., Mixed Convection in a Micropolar Fluid from a Vertical Surface with Uniform Heat Flux, I. J. of E. S., 30 (1992), 3, pp. 349-358
[20] Hassanien, I. A., Bakier, A. Y., Gorla, R. S. R., Natural Convection Boundary Layer Flow of a Micropolar Fluid Long a Vertical Plate in a Thermally Stratified Medium, Appl. Mech. Eng., 1 (1996), 3, pp. 381-395
[21] Hassanien, I. A., Bakier, A. Y., Gorla, R. S. R., Natural Convection Boundary Layer Flow of a Micropolar Fluid, ZAMMZ. Angew. Math. Mech., 77 (1997), 10, pp. 751-755
[22] Nadeem, S., Awais, M., Thin Film Flow of an unsteady Shrinking Sheet through Porous Medium with Variable Viscosity, Physics Letters, A 372 (2008), 30, pp. 4965-4972
[23] Bataller, R. C., Effects of Heat Source/Sink, Radiation and Work Done by Deformation on Flow and Heat Transfer of a Viscoelastic Fluid over a Stretching Sheet, Computers and Mathematics with Applications, 53 (2007), 2, pp. 305-316
[24] Hassanien, I. A., Hamad, M. A., Group Theoretic Method for Unsteady Free Convection Flow of a Micropolar Fluid Along a Vertical Plate in a Thermally Stratified Medium, Applied Mathematical Modelling, 32 ( 2008), 6, pp.1099-1114
[25] Batchelor, G. K., Sheen, C., Thermophoretic Deposition of Particles in Gas Flowing over Cold Surfaces, J. Colloid Interface Sci., 107 (1985), 1, pp. 21-37
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