Entropy generation in MHD Casson fluid flow with variable heat conductance and thermal conductivity over non-linear bi-directional stretching surface

Abstract

This consideration highlights the belongings of momentum, entropy generation, species and thermal dissemination on boundary layer flow (BLF) of Casson liquid over a linearly elongating surface considering radiation and Joule heating effects significant. Transportation of thermal and species are offered by using the temperature-dependent models of thermal conductivity and mass diffusion coefficient. Arising problem appear in the form of nonlinear partial differential equations (NPDEs) against the conservation laws of mass, momentum, thermal and species transportation. Appropriate renovation transfigures the demonstrated problem into ordinary differential equations. Numerical solutions of renovated boundary layer ordinary differential equations (ODEs) are attained by a proficient and reliable technique namely optimal homotopy analysis method (OHAM). A graphical and tabular interpretation is given for convergence of analytic solutions through error table and flow behavior of convoluted physical parameters on calculated solutions are presented and explicated in this examination. Reliability and effectiveness of the anticipated algorithm is established by comparing the results of present contemplation as a limiting case of available work, and it is found to be in excellent settlement. Decline in fluid velocity and enhancement in thermal and species transportation is recorded against the fluctuating values of Hartman number. Also reverse comportment of Prandtl number and radiation parameter is portrayed. Moreover, it is conveyed that supplementing values of the magnetic parameter condenses the fluid velocity and upsurges the thermal and concentration distributions. Negative impact of elevating Joule heating phenomenon is noted on the molecular stability of the system via Brinkman number Furthermore, the system’s stability at a molecular level is controlled by diminishing values of radiation temperature difference concentration difference diffusion parameters and Brinkman number

An Inclination in Thermal Energy Using Nanoparticles with Casson Liquid Past an Expanding Porous Surface

“…Swain et al [32] used an exponentially porous surface to analyze the flow and thermal characterizations considering nanoparticles via slip conditions. Some recent contributions covering numerous physical aspects and computational approaches have been reported in [33][34][35][36][37].…”

Radiative flow of MHD non‐Newtonian fluid by utilizing the updated version of heat flux model under Joule heating

“…For the estimated modeling problem, the initial guesses are their respective linear operators these linear operators conform the following features where are the constants which are computed by fetching the declared constraints. Averaged squared residuals as recommended in References [33‐38] for velocity, thermal and solutal fields with controlling parameters , and are described as …”

“…are the constants which are computed by fetching the declared constraints. Averaged squared residuals as recommended in References [33][34][35][36][37][38] for velocity, thermal and solutal fields with controlling parameters ℏ ℏ , f θ , and ℏ , ϕ are described as…”

Contribution of Dufour and Soret effects on hydromagnetized material comprising temperature‐dependent thermal conductivity

“…They found that higher values of the Weissenberg parameter retard the velocity profile. Sohail et al 6 investigated the mechanism of entropy in the Casson model under variable properties. They addressed the analytical solution of the developed problem.…”