THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

NATURAL CONVECTION HEAT AND MASS TRANSFER IN A MICROPOLAR FLUIDSATURATED NON-DARCY POROUS REGIME WITH RADIATION AND THERMOPHORESIS EFFECTS

ABSTRACT
An analysis is presented for the steady thermal convection heat and mass transfer in a micropolar-fluid-saturated non-Darcian porous medium in the presence of radiation and thermophoresis effects. The governing boundary layer equations for momentum, energy, species transfer and angular momentum (micro-rotation) are transformed from an (x,y), coordinate system into (η), coordinate system. The influence of Darcy number (Da), Forchheimmer number (Fs), local Grashof number (Gr), Prandtl number (Pr), Schmidt number (Sc), radiation (R) and thermophoresis (k), surface parameter (s), on the velocity, temperature, concentration profiles and angular velocity (micro-rotation) are studied graphically. Applications for the problem arise in chemical engineering systems and geothermal energy systems.
KEYWORDS
PAPER SUBMITTED: 2010-10-26
PAPER REVISED: 2011-09-02
PAPER ACCEPTED: 2011-09-22
DOI REFERENCE: https://doi.org/10.2298/TSCI101026096B
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2011, VOLUME 15, ISSUE Supplement 2, PAGES [S317 - S326]
REFERENCES
  1. Eringen, A. C., Simple Microfluids, Int. J. Engineering Science, (1964),2, 205-217
  2. Ramachandran, P.S. and Mathur, M.N., Heat transfer in boundary layer flow of a micropolar fluid past a curved surface with suction and injection, Int. J. Engineering Science, (1964), 17, 625-639.
  3. Vidyanidhi,V. and Sreeramachandra Murty,M., The dispersion of a chemicallyreacting solute in a micropolar fluid, Int. J. Engineering Science, (1976),14, 1127-1133
  4. Soundalgekar, V.M. and Takhar, H.S., Heat transfer in wedge flow of a micropolar fluid. Proceedings 8th International Conference on Rheology, Naples, Italy, (1980)321-325.
  5. N. P. Migun and P. P. Prokhorenko, Heating of a micropolar liquid due to viscous energy dissipation in channels. II. Couette flow, J. Engineering Physics and Thermophysics, (1984)46, 3 , 278 - 282.
  6. M. M. Khonsari and D. E. Brewe , Effect of viscous dissipation on the lubrication characteristics of micropolar fluids, Acta Mechanica, 1/4 (1994)
  7. I. A. Hassanien, A. Y. Bakier, R. S. R. Gorla, Natural convection boundary layer flow of a micropolar fluid, ZAMMZ. angew. Math. Mech. 77(1997)10, 751-755
  8. I.A. Hassanien , T.H. Al-arabi "Non-Darcy unsteady mixed convection flow near the stagnation point on a heated vertical surface embedded in a porous medium with thermal radiation and variable viscosity" Commun Nonlinear Sci Numer Simulat (2008) (in press)
  9. Ching-Yang Cheng Natural convection heat and mass transfer from a sphere in micropolar fluids with constant wall temperature and concentration International Communications in Heat and Mass Transfer xx (2008) (in press)
  10. R. Nazar, N. Amin, T. Grosan, I. Pop, Free convection boundary layer on an isothermal sphere in a micropolar fluid, International Communications in Heat and Mass Transfer 29 (2002) 377-386
  11. M. K. Partha Thermophoresis particle deposition in free convection on a vertical plate embedded in a fluid saturated non-Darcy porous medium is studied using similarity solution technique Heat Mass Transfer (2008) 44:969-977
  12. Ingham, D. B. and Pop, I. (Editors), Transport Phenomena in Porous Media: Volume 2. Pergamon Press, Oxford (2002).
  13. Vafai, K. and Tien, C.L., Boundary and Inertia Effects on Flow and Heat Transfer in Porous Media, Int. J. Heat Mass Transfer, (1981),24, 195-203.
  14. O. A. Bég, Prasad, H.S. Takhar, V. M. Soundalgekar, Thermal convective flow in an isotropic, homogenous medium using Brinkman's vorticity diffusion model: Numerical Study, Int. J. Numerical Methods in Heat and Fluid Flow, (1998),8, 59-89.
  15. O. A. Bég , J. Zueco , H.S. Takhar, Laminar free convection from a continuouslymoving vertical surface in thermally-stratified non-Darcian high-porosity medium: Network numerical study, I. C. Heat and Mass Transfer, (2008),in press.
  16. H. S. Takhar, R. Bhargavaa , S. Rawat, Tasveer A. Bég, O. Anwar Bégd, Hung,Tin-Kan "Biomagnetic hydrodynamics in a 2-dimensional non-Darcian porous medium: finite element study" , Journal of theoretical and applied mechanics, 2007, vol, 37, no. 2, pp. 59-76.
  17. Chamkha, A. J., Pop, I., Effect of Thermophoresis Particle Deposition in Free Convection Boundary Layer from a Vertical Flat Plate Embedded in a Porous Medium, Inter. Comm.Heat Mass Transfer, 31 (2004), pp. 421-430.
  18. A. Y. Bakier and M. A. Mansour " Combined of magnetic field and thermophoresis particle deposition in free convection boundary layer from a vertical flat plate embedded in a porous medium" J. Thermal Science: Vol. 11 (2007), No. 1, pp. 65-74.
  19. M.Q. Brewster, Thermal Radiative Transfer Properties, Wiley, Canada, 1992.
  20. Schlichting, H., Boundary-Layer Theory, McGraw-Hill, New York , 7th Edn (1979).
  21. Gebhart, B. and Pera, L., Int. J. Heat and Mass Transfer, 14, 2025 (1971).
  22. Kim, Y.J., Heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium, Transp. Porous Media J., 56, 17-37 (2004).

© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence