Application of Finite Element Method to MHD Mixed Convection Chemically Reacting Flow past a Vertical Porous Plate with Cross Diffusion and Biot Number Effects

Abstract

A numerical solution to the problem of mixed convective MHD chemically reacting flow past a vertical porous plate in the presence of thermal radiation and cross diffusion effects was studied. Instead of the commonly used conditions of constant surface temperature or constant heat flux, a convective boundary condition is employed which makes this study unique and the results more realistic and practically useful. The momentum, energy, and concentration equations derived as coupled second-order, ordinary differential equations and are solved numerically using a highly accurate and thoroughly tested finite element method. The effects of Grashof number (defined to represent a mixed convection parameter) for heat and mass transfer, Soret number, Dufour number, Viscous dissipation parameter, Chemical reaction parameter, Permeability parameter, Thermal radiation parameter and Biot number on the velocity, temperature and concentration profiles are illustrated and interpreted in physical terms. The present results agree closely with the existing results for the special cases of the problem. This close agreement lends support to the validity of the present analysis and the accuracy of the numerical computations. The paper also contains a table in which the data for the local skin friction, local Nusselt number and local Sherwood number are provided for various combination values of the parameters that govern the momentum, energy and concentration convey in the mixed boundary layer.

Heat Transfer Analysis on Peristaltic Transport of a Jeffery Fluid in an Inclined Elastic Tube with Porous Walls

“…Mainly, it is utilized as a part of oxygenation and hemodialysis. Keeping this in mind, numerous scientists have explored the fluid characteristics by taking convective boundary conditions alongside variable thermal conductivity (Hayat et al, 2013;Alsaedi et al, 2013;Abbasi et al, 2015;Hayat et al, 2016;Sayed et al, 2016;Abdul, 2017;Srinivasa, 2017;). The initial studies on the peristaltic transport of a Newtonian/non-Newtonian fluid has been carried out by many researchers by taking different assumptions and configuration (Latham, 1966;Burns and Parkes, 1967;Raju and Devanathan, 1972;; Vajravelu et al, (2016)(b); Prasad et al, 2017;Manjunatha and Rajashekhar, 2018;Prasad et al, 2018(b); Vaidya et al, 2019 (a-d)).…”