The problem of unsteady two-dimensional laminar flow of a viscous incompressible micropolar fluid past a vertical porous plate in the presence of a transverse magnetic field and thermal radiation with variable heat and mass fluxes is considered. The free stream velocity is subjected to exponentially increasing or decreasing small perturbations. A uniform magnetic field acts perpendicularly to a porous surface where a micropolar fluid is absorbed with a suction velocity varying with time. The Rosseland approximation is used to describe radiative heat transfer in the limit of optically thick fluids. The effects of the flow parameters and thermophysical properties on the velocity and temperature fields across the boundary layer are investigated. The effects of various parameters on the velocity, microrotation velocity, temperature, and concentration profiles are given graphically, and the values of the skin friction and couple stress coefficients are presented.
Similar content being viewed by others
References
A. C. Eringen, Theory of micropolar fluids, J. Math. Mech. 16, 1–18 (1966).
A. C. Eringen, Theory of thermomicrofluids, J. Math. Anal. Appl., 38, 480–496 (1972).
G. Ahmadi, Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate, Int. J. Eng. Sci., 14, 639–646 (1976).
J. Peddieson and R. P. McNitt, Boundary layer theory for micropolar fluid, Recent Adv. Eng. Sci., 5, 405–426 (1970).
H. S. Takhar and V. M. Soundagekhar, Flow and heat transfer of a micropolar fluid past a porous plate, Indian J. Pure Appl. Math., 16, No. 5, 552–558 (1985).
R. S. R. Gorla, Combined forced and free convection in micropolar boundary layer flow on a vertical flat plate, Int. J. Eng. Sci., 26, No. 4, 385–391 (1988).
A. Raptis, Flow of a micropolar fluid past a continuously moving plate by the presence of radiation, Int. J. Heat Mass Transfer, 41, 2865–2866 (1998).
R. C. Sharma and G. Gupta, Thermal convection in micropolar fluids in porous medium, Int. J. Eng. Sci., 33, 1887–1892 (1995).
Y. J. Kim, Unsteady convection flow of micropolar fluids past a vertical porous plate embedded in a porous medium, Acta Mech., 148, 105–116 (2001).
Y. J. Kim, Unsteady MHD convection flow of polar fluids past a vertical moving porous plate embedded in a porous medium, Int. J. Heat Mass Transfer, 44, 2791–2799 (2001).
V. M. Soundalgekar, Free convection effects on the oscillatory flow past an infinite, vertical, porous plate with constant suction, Proc. Roy. Soc. London, A333, 25–36 (1973).
A. Raptis, Flow through a porous medium in the presence of a magnetic field, Int. J. Energy Res., 10, 97–100 (1986).
M. A. El-Hakiem, A. Mohammadein, S. M. M. El-Kabeir, and R. S. R. Gorla, Joule heating effects on magnetohydrodynamic free convection flow of a micropolar fluid, Int. Comm. Heat Mass Transfer, 26, No. 2, 219–227 (1999).
A. Raptis, Flow of a micropolar fluid past a continuously moving plate by the presence of radiation, Int. J. Heat Mass Transfer, 41, 2865–2866 (1998).
M. Gnaneswara Reddy, Heat generation and radiation effects on steady MHD free convection flow of micropolar fluid past a moving surface, J. Comput. Appl. Research Mech. Eng. (accepted for publication).
E. M. Abo-Eldahad and A. F. Ghonaim, Radiation effect on heat transfer of a micropolar fluid through a porous medium, Appl. Math. Comput., 169, No. 1, 500–516 (2005).
Y. J. Kim and A. G. Fedorov, Transient mixed radiative convection flow of a micropolar fluid past a moving semi-infinite vertical porous plate, Int. J. Heat Mass Transfer, 46, 1751–1758 (2003).
M. Gnaneswara Reddy, Magnetohydrodynamics and radiation effects on unsteady convection flow of micropolar fluid past a vertical porous plate with variable wall heat flux, ISRN Thermodynamics, 2012, 1–8 (2012).
M. A. Hossain, Effect of transpiration on combined heat and mass transfer in mixed convection along a vertical plate, Int. J. Energy Research, 16, 761–769 (1992).
M. D. Abdus-Sattar and M. D. Hamid Kalim, Unsteady free convection interaction with thermal radiation in a boundary layer flow past a vertical porous plate, J. Math. Phys. Sci., 30, 25–37 (1996).
A. J. Chamkha, H. S. Takhar, and V. M. Soundalgekar, Radiation effects on free convection flow past a semi-infinite vertical plate with mass transfer, Chem. Eng. J., 84, 335–342 (2001).
O. D. Makinde, Free convection flow with thermal radiation and mass transfer past a moving vertical porous plate, Int. Comm. Heat Mass Transfer, 32, No. 10, 1411–1419 (2005).
M. Q. Brewster, Thermal Radiative Transfer and Properties, John Wiley & Sons, New York (1992).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 86, No. 2, pp. 406–415, March–April, 2013.
Rights and permissions
About this article
Cite this article
Reddy, M.G. Mass transfer effects on the unsteady mhd radiative– convective flow of a micropolar fluid past a vertical porous plate with variable heat and mass fluxes. J Eng Phys Thermophy 86, 431–441 (2013). https://doi.org/10.1007/s10891-013-0852-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-013-0852-9