Second law analysis for chemically reacting natural convective second‐grade fluid flow between porous parallel plates with Hall and Ion slip

Abstract

In this article, we performed the entropy generation of free convective chemically reacting second‐grade fluid confined between parallel plates in the influence of the Hall and Ion slip with heat and mass fluxes. Let there be a periodic suction/injection along with the plates, the governing flow field equations are reduced as a set of coupled nonlinear ordinary differential equations by using appropriate similarity transformations then solved numerically with shooting method based on Runge‐Kutta 4th order scheme. The results are analyzed for velocity in axial and radial directions, temperature distribution, concentration distribution, entropy generation number, Bejan number, mass and heat transfer rates with respect to distinct geometric, and fluid parameters and shown graphically and tables. It is observed that the entropy generation is enhanced with Prandtl number, whereas decreases with a second‐grade parameter, the effects of Hall and Ion slip parameters on velocity components, temperature and entropy generation number are the same. The entropy generation number the fluid is enhanced with the suction‐injection parameter whereas, the concentration of the fluid decreases with the increasing of chemical reaction parameter.

Impacts of the periodic wall conditions on the hydromagnetic convective flow of viscoelastic fluid through a vertical channel with Hall current and induced magnetic field

“…They observed that the rise in variable thermal conductivity reduces the fluid temperature within the channel. Some recent contributions to the topic have been made by few eminent researchers: Ramesh and Ojjela, 23 Veera Krishna, 24 Singh et al, 25,26 and Ali et al 27 In many industrial processes where the fluid is of low density or the strength of the applied magnetic field is very strong, a current is induced due to spiraling of fluid particles about magnetic lines of force, and this current is perpendicular to both the direction of applied magnetic field and motion of the fluid 28 . This current was first observed by E. H. Hall in the year 1879, and it is named as Hall current.…”

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