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Investigation of combined heat and mass transfer by Lie group analysis with
variable diffusivity taking into account hydrodynamic slip and thermal
convective boundary conditions

Research Authors
M.A.A. Hamad , Md.J. Uddin , A.I.Md. Ismail
Research Abstract

The present paper investigates heat and mass transfer over a moving porous plate with hydrodynamic
slip and thermal convective boundary conditions and concentration dependent diffusivity. The similarity
representation of the system of partial differential equations of the problem is obtained through Lie group
analysis. The resulting equations are solved numerically by Maple with Runge–Kutta–Fehlberg fourth–
fifth order method. A representative set of results for the physical problem is displayed to illustrate
the influence of parameters (velocity slip parameter, convective heat transfer parameter, concentration
diffusivity parameter, Prandtl number and Schmidt number) on the dimensionless axial velocity, temperature
and concentration field as well as the wall shear stress, the rate of heat transfer and the rate of mass
transfer. The analytical solutions for velocity and temperature are obtained. Very good agreements are
found between the analytical and numerical results of the present paper with published results.

Research Department
Research Journal
International Journal of Heat and Mass Transfer
Research Rank
1
Research Vol
Vol. 55
Research Year
2012
Research Pages
1355–1362