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 (h), 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.
Dates
- Submission Date2010-10-26
- Revision Date2011-09-02
- Acceptance Date2011-09-22
References
- Eringen, A. C., Simple Microfluids, Int. J. Engineering Science, (1964),2, 205-217
- 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.
- Vidyanidhi,V. and Sreeramachandra Murty,M., The dispersion of a chemicallyreacting solute in a micropolar fluid, Int. J. Engineering Science, (1976),14, 1127-1133
- 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.
- 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.
- M. M. Khonsari and D. E. Brewe , Effect of viscous dissipation on the lubrication characteristics of micropolar fluids, Acta Mechanica, 1/4 (1994)
- 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
- 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)
- 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)
- 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
- 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
- Ingham, D. B. and Pop, I. (Editors), Transport Phenomena in Porous Media: Volume 2. Pergamon Press, Oxford (2002).
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- M.Q. Brewster, Thermal Radiative Transfer Properties, Wiley, Canada, 1992.
- Schlichting, H., Boundary-Layer Theory, McGraw-Hill, New York , 7th Edn (1979).
- Gebhart, B. and Pera, L., Int. J. Heat and Mass Transfer, 14, 2025 (1971).
- 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).
Volume
15,
Issue
12,
Pages317 -326