Analysis of radiative MHD Carreau nanofluid flow with melting heat transfer and variable thermal conductivity

Abstract

In this work, we present the impacts of melting heat transfer phenomena on the steady, laminar, incompressible, two‐dimensional magnetohydrodynamic (MHD) Carreau nanofluid flow towards the stretching sheet. Additionally, in energy equation thermal radiation and variable thermal conductivity effects are also taken into consideration. By using similarity variables, governing non‐linear partial differential equations (PDEs) of the Carreau nanofluid flow model are transformed into dimensionless non‐linear ordinary differential equations (ODEs). Numerical solutions are then investigated and the results are illustrated through graphs and tables showing parameters effect on velocity, temperature, and concentration profiles of the fluid and on physical quantities including skin friction coefficient, Nusselt and Sherwood numbers, respectively. From the analysis, it is found that boosting melting heat transfer parameter leads to increasing behavior in velocity and concentration distributions, while the opposite trend is noticed for temperature distribution. Numerical results are found in close agreement and are accurate by carrying out its comparison with previous results for skin friction coefficient with different magnetic parameters while keeping other parameter values constant.