Conjugate Heat and Mass Transfer on Steady MHD Mixed Convection Flow along a Vertical Slender Hollow Cylinder with Heat Generation and Chemical Reaction Effects

Abstract

This paper studies the effects of heat generation and chemical reaction on the coupled conjugate heat and mass transfer by MHD laminar mixed convective flow along a vertical slender hollow cylinder. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a non similar transformation and the resulting equations are then solved by the finite difference method using Matlab@ following the code bvp4c. Numerical results of the velocity, temperature and concentration for different values of the conjugate heat transfer parameter p, the magnetic parameter M, the heat generation Q, and the chemical reaction K are studied. The local skin friction, Nusselt number and Sherwood number are also analyzed and presented graphically. In the numerical ranges of the main parameters, it is found mainly that working with strong conjugate heat transfer or/and all others parameters affects negatively the Nusselt and Sherwood numbers. The same trend is revealed for the skin friction factor.

Conjugate Mixed Convection of a Micropolar Fluid Over a Vertical Hollow Circular Cylinder

“…The results revealed that a rise in the magnetic field caused the boundary thermal layer to disappear, when the vortex viscosity parameter simultaneously enhanced both the heat transfer rate. Saidoune et al [15] conducted a numerical analysis to investigate the impact of chemical reactions and heat generation on the transfer of mass and heat in a laminar mixed convective flow along a thin vertical hollow cylinder, incorporating magnetohydrodynamics (MHD). Their numerical analyses within the specified parameter ranges consistently revealed that employing strong conjugate heat transfer had an adverse impact on both the Sherwood and Nusselt numbers.…”