Numerical Study of Entropy Generation with Nonlinear Thermal Radiation on Magnetohydrodynamics non-Newtonian Nanofluid Through a Porous Shrinking Sheet

Abstract

In this article, entropy generation on MHD Williamson nanofluid over a porous shrinking sheet has been analyzed. Nonlinear thermal radiation and chemical reaction effects are also taken into account with the help of energy and concentration equation. The fluid is electrically conducting by an external applied magnetic field while the induced magnetic field is assumed to be negligible due to small magnetic Reynolds number. The governing equations are first converted into the dimensionless expression with the help of similarity transformation variables. The solution of the highly nonlinear coupled ordinary differential equation has been obtained with the combination of Successive linearization method (SLM) and Chebyshev spectral collocation method. Influence of all the emerging parameters on entropy profile, temperature profile and concentration profile are plotted and discussed. Nusselt number and Sherwood number are also computed and analyzed. It is observed that entropy profile increases for all the physical parameters. Moreover, it is found that when the fluid depicts non-Newtonian (Williamson fluid) behavior then it causes reduction in the velocity of fluid, however, non-Newtonian behavior enhances the temperature and nanoparticle concentration profile.

Constrained Brownian Motion of a Single Ellipsoid in a Narrow Channel

“…Lin et al [20] presented a numerical investigation on the mass and heat transfer of Cu nanofluids with power-law base fluids in a circular groove with a relative slow revolution. Bhatti et al [21] analyzed the entropy generation of the MHD non-Newtonian Williamson nanofluid over a porous shrinking surface.…”

Numerical Solution of Non-Newtonian Fluid Flow Due to Rotatory Rigid Disk

“…Their values are obtained by build in command in Mathematica while we have used self-coded algorithm (shooting method with R-K scheme) subject to Casson nanofluid flow induced by solid rotating disk. Beside this one can extend idea to computational fluid dynamics in context of industrial and standpoints, see References [32][33][34][35][36][37][38][39][40][41][42].…”

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

“…Srinivas et al have examined the second law analysis of radiative two immiscible couple stress fluid flow between parallel plates. Several investigations on entropy generation of various fluid flows are reported by many researchers . Keeping in view of these applications, the main aim of the present study is to analyze entropy generation characteristics of the flow of chemically reacting second‐grade fluid through parallel porous plates with Hall and Ion slip currents.…”

“…Several investigations on entropy generation of various fluid flows are reported by many researchers. [39][40][41][42][43][44][45][46][47][48][49][50][51][52] Keeping in view of these applications, the main aim of the present study is to analyze entropy generation characteristics of the flow of chemically reacting second-grade fluid through parallel porous plates with Hall and Ion slip currents.…”