Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2012, Special Issue (2012), Article ID 675287, 17 pages.
Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid
The problem of a two-dimensional, unsteady flow and a heat transfer of a viscous fluid past a surface in the presence of variable suction/injection is analyzed. The unsteadiness is due to the time dependent free stream flow. The governing equations are derived with the usual boundary layer approximation. Using Lie group theory, a group classification of the equations with respect to the variable free stream flow and suction/injection velocity is performed. Restrictions imposed by the boundary conditions on the symmetries are discussed. Adopting the obtained symmetry groups, governing partial differential equations are converted into ordinary differential equations and then solved numerically. Effects of the dimensionless problem parameters on the velocity and temperature profiles are outlined in the figures.
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 675287, 17 pages.
First available in Project Euclid: 3 January 2013
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Akgül, M. B.; Sarı, G.; Pakdemirli, M. Lie Group Analysis of Unsteady Flow and Heat Transfer over a Porous Surface for a Viscous Fluid. J. Appl. Math. 2012, Special Issue (2012), Article ID 675287, 17 pages. doi:10.1155/2012/675287. https://projecteuclid.org/euclid.jam/1357180209