Abstract
Natural convection heat transfer fluid flow past an inclined plate embedded in a fluid-saturated porous medium is investigated by Lie group analysis. The governing partial differential equations are reduced to a system of ordinary differential equations by the scaling symmetries. From numerical results, it is found that the thermal and momentum boundary layer thicknesses are increased as the radiation parameter is increased. Also, it is observed that the velocity is increased and the temperature is decreased for increasing the buoyancy parameter and the porosity parameter.
Similar content being viewed by others
References
N. Beithou, K. Albayrak and A. Abdulmajeed, Effects of porosity on the free convection flow of non-Newtonian fluids along a vertical plate embedded in a porous medium, Tr. J. Engg. Env. Sci 22 (1998) 203–209.
C. H. Chen, Heat and mass transfer in MHD flow by natural convection from a permeable, inclined surface with variable wall temperature and concentration, Acta Mechanica, 172 (2004) 219–235.
H. M. Duwairi, Viscous and joule heating effects on forced convection flow from radiate isothermal porous surfaces, Int. J. Num. Methods Heat Fluid Flow, 15(5) (2005) 429–440.
F. S. Ibrahim, M. A. Mansour and M. A. A. Hamad, Lie-group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical flat plate, Electronic J. Differential Equations 39 (2005) 1–17.
V. K. Kalpakides and K. G. Balassas, Symmetry groups and similarity solutions for a free convective boundary-layer problem, Int. J. Non-linear Mech., 39 (2004) 1659–1670.
P. Kandaswamy, R. J. Mallakal and L. Debnath, Hydromagnetic free convective flow in A, porous medium, Engg. Simulation, 16 (1994) 74–79.
M. Kumari, H. S. Takhar and G. Nath, Mixed convection flow over a vertical wedge embedded in a highly porous medium, Heat Mass Transfer, 37 (2001) 139–146.
F. C. Lai and F. A. Kulacki, Non-Darcy convection from horizontal impermeable surfaces in saturated porous media, Int. J. Heat Mass Transfer, 30(10) (1994) 2189–2192.
J. J. Shu and I. Pop, Inclined wall plumes in porous media, Fluid Dyn. Res. 21 (1997) 303–317.
M. Yurusoy and M. Pakdemirli, Symmetry reductions of unsteady three-dimensional boundary layers of some non-Newtonian Fluids, Int. J. Engg. Sci. 35(8) (1997) 731–740.
E. M. Sparrow and D. R. Cess, Radiation heat transfer, Augmented Edition, Hemisphere Publishers, Washington DC (1978).
G. W. Bluman and S. Kumei, Symmetries and Differential Equations, Springer, New York, (1989).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lee, J., Kandaswamy, P., Bhuvaneswari, M. et al. Lie group analysis of radiation natural convection heat transfer past an inclined porous surface. J Mech Sci Technol 22, 1779–1784 (2008). https://doi.org/10.1007/s12206-008-0622-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-008-0622-3