A computational study of Brownian and thermophoresis effects on nonlinear radiation in boundary-layer flow of Maxwell nanofluid initiated due to elongating cylinder

Abstract

In this article, attention is paid to investigating the effects of nonlinear thermal radiations for Maxwell nanofluid flow, flowing due to elongating cylinder. For a better understanding of variations in heat transfer, nonlinear heat generation is also considered. The equations of flow, heat and mass transfer due to incorporation of nanoparticles, are modeled through Navier–Stokes, energy, and concentration equations. The reduced partial differential equations are transformed into dimensionless ordinary differential equations with the help of appropriate transformations. The reduced system of ordinary differential equations is simulated by means of efficient technique, namely, the shooting method. Significant difference in the heat transfer enhancement can be observed graphically through temperature profiles and Nusselt number. From the obtained results, finally it is concluded that nonlinear radiation provides better heat transfer rate at the surface of the cylinder as compared to linear or absence of radiation effects.