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Numerical Investigation of Unsteady Free Convection on a Vertical Cylinder with Variable Heat and Mass Flux in the Presence of Chemically Reactive Species
Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt
Department of Mathematics, Faculty of Woman, Ain Shams University, Cairo, Egypt
- 1 Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt
- 2 Department of Mathematics, Faculty of Woman, Ain Shams University, Cairo, Egypt
Advances in Pure Mathematics·Volume 03 (2013)·Pages 183–189·Published 30 January 2013·DOI10.4236/apm.2013.31A026
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Abstract
A mathematical model is presented to study the effect of chemical reaction on unsteady natural convection boundary layer flow over a semi-infinite vertical cylinder. Taking into account the buoyancy force effects, for the situation in which the surface temperature and are subjected to the power-law surface heat and mass flux as and . The governing equations are solved by an implicit finite difference scheme of Crank-Nicolson method. Numerical results for the velocity, temperature and concentration profiles as well as for the skin-friction, Nusselt and Sherwood numbers are obtained and reported graphically for various parametric conditions to show interesting aspects of the solution.
KeywordsImplicit Finite Difference SchemeCrank-Nicolson MethodChemical Reaction on Unsteady Natural Convection Boundary Layer FlowSemi-Infinite Vertical Cylinder
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