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.

Dates

  • Submission Date2009-01-01
  • Revision Date2009-04-06
  • Acceptance Date2009-04-12

DOI Reference

10.2298/TSCI1001171B

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
  5. Brock, J. R., On the Theory of Thermal Forces Acting on Aerosol Particles, J. Colloid Sci., 17 (1962), 8, pp. 768-770
  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
  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
  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. 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
  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
  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
  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
  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
  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
  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
Volume 14, Issue 1, Pages171 -181