COMBINED OF MAGNETIC FIELD AND THERMOPHORESIS PARTICLE DEPOSITION IN FREE CONVECTION BOUNDARY LAYER FROM A VERTICAL FLAT PLATE EMBEDDED IN A POROUS MEDIUM

Abstract

Deals with heat and mass transfer by steady laminar boundary layer flow of Newtonian, viscous fluid over a vertical flat plate embedded in a fluid-saturated porous medium in the presence of thermophoretic and magnetic field. The resulting similarity equation are solved by finite difference marching technique. The nature of variation of particle concentration profile and magnetic field with respect to buoyancy force, , and Prandtl number is found to be similar. Comparisons with previous published work are performed and the results are found to be in excellent agreement.

Dates

  • Submission Date2006-05-15
  • Revision Date2006-11-11
  • Acceptance Date2006-11-15

DOI Reference

10.2298/TSCI0701065B

References

  1. P. Goldsmith, F.G.May, Diffusiophoresis and thermophoresis in water vapour systems , in: C.N. Davies (Ed.), Aerosol Science, Academic Press, London, 1966, pp. 163-194.
  2. L. Talbot, R.K. Chenge, A.W. Schefer, D.R.Willis, Thermophoresis of particles in a heated boundary layer , J. Fluid Mech. 101 (1980) 737-758.
  3. J.R. Brock, On the theory of thermal forces acting on aerosol particles , J. Colloid Sci. 17 (1962) 768-770.
  4. J.M. Hales, L.C. Schwendiman, T.W. Horst, Aerosol transport in a naturally-convected boundary layer , Internat. J. Heat Mass Transfer 15 (1972) 1837-1849.
  5. S.L. Goren, Thermophoresis of aerosol particles in the laminar boundary layer on a flat plate , J. Colloid Interface Sci. 61 (1977) 77-85.
  6. A. Selim , M.A. Hossaina,, D.A.S. Rees, 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) 973-982.
  7. M. Epstein, G.M. Hauser, R.E. Henry, Thermophoretic deposition of particles in natural convection flow from a vertical plate , J. Heat Transfer 107 (1985) 272-276.
  8. A.F. Mills, X. Hang, F. Ayazi, The effect of wall suction and thermophoresis on aerosol-particle deposition from a laminar boundary layer on a flat-plate , Internat. J. Heat Mass Transfer 27 (1984) 1110-1113.
  9. R. Tsai, A simple approach for evaluating the effect of wall suction and thermophoresis on aerosol particle deposition from a laminar flow over a flat plate , Internat. Commun. Heat Mass Transfer 26 (1999) 249-257.
  10. G. Jia, J.W. Cipolla, Y. Yener, Thermophoresis of a radiating aerosol in laminar boundary-layer flow , J. Thermophys. Heat Transfer 6 (1992) 476-482.
  11. S. Jayaraj, Finite difference modelling of natural convection flow with thermophoresis , Internat. J. Numer. Methods Heat Fluid Flow 9 (1999) 692-704.
  12. S. Jayaraj, K.K. Dinesh, K.L. Pillai, Thermophoresis in natural convection with variable properties , Heat Mass Transfer 34 (1999) 469-475.
  13. M.C. Chiou, 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) 219-229.
  14. M.C. Chiou, J.W. Cleaver, 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) 1155-1167.
  15. A. J. Chamkha, and I. Pop, 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) 421-430.
  16. G. K. Batchelor, C. Shen, Thermophoretic deposition of particles in gas flowing over cold surfaces , J. Colloid interface Sci. 107(1985)21-37.
  17. P. Cheng and W. J. Minkowycz, Free convection About a vertical flat plate embedded in a porous medium with application to heat transfer from a dikeJ. Geophys. Res. 82(1977), 2040-2044.
  18. A. Bejan and K. R. Khair, Heat and mass transfer by natural convection in a porous medium , Int. J. heat and mass transfer, 28(1985)909-918.
Volume 11, Issue 1, Pages65 -74