MODELING AND NUMERICAL SIMULATION OF HYDROMAGNETIC NATURAL CONVECTION CASSON FLUID FLOW WITH nTH-ORDER CHEMICAL REACTION AND NEWTONIAN HEATING IN POROUS MEDIUM

2019 ◽  
Vol 22 (9) ◽  
pp. 1141-1157 ◽  
Author(s):  
Gauri S. Seth ◽  
A. Bhattacharyya ◽  
R. Kumar ◽  
Manoj Kumar Mishra
Author(s):  
A. Jasmine Benazir ◽  
R. Sivaraj ◽  
Oluwole Daniel Makinde

The present study focuses the effects of double dispersion, non-uniform heat source/sink and higher order chemical reaction on unsteady, free convective, MHD Casson fluid flow over a vertical cone and flat plate saturated with porous medium. The extensively validated and unconditionally stable numerical solutions are obtained for the governing equations of two dimensional boundary layer flow by using the finite difference scheme of Crank-Nicolson type. The behavior of velocity, temperature and concentration distributions for various controlling parameters of this problem are graphically illustrated and discussed in detail. The average skin friction, Nusselt number and Sherwood number for sundry parameters are presented in tables. Results indicate that an increase in Casson fluid parameter is found to decelerate fluid flow by increasing the plastic dynamic viscosity whereas it enhances the shear stress in the flow regime. The temperature-dependent heat source/sink plays a vital role on controlling the heat transfer however the surface-dependent heat source/sink also has notable influence on the heat transfer characteristics. It is to be noted that higher order chemical reaction has the tendency to dilute the influence of chemical reaction parameter on the species concentration.


2015 ◽  
Vol 12 (2) ◽  
pp. 125-136 ◽  
Author(s):  
D. Mythili ◽  
R. Sivaraj ◽  
M. M. Rashidi ◽  
Z. Yang

The present investigation deals with the study of unsteady, free convective Casson fluid flow over a vertical cone saturated with porous medium in the presence of non-uniform heat source/sink, high order chemical reaction and cross diffusion effects. The numerical computation for the governing equations has been performed using an implicit finite difference method of Crank-Nicolson type. The influence of various physical parameters on velocity, temperature and concentration distributions is illustrated graphically and the physical aspects are discussed in detail. Results indicate that temperature dependent heat source/sink plays a vital role on controlling the heat transfer however the surface-dependent heat source/sink also has notable influence on the heat transfer characteristics. It is to be noted that high order chemical reaction has the tendency to dilute the influence of chemical reaction parameter on the species concentration.


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