Features of thermophoretic and Brownian forces in Burgers fluid flow subject to Joule heating and convective conditions

Abstract

Here we investigate the aspects of thermal and solutal energy transport in MHD flow of Burgers nanofluid caused by a unidirectional stretching cylinder. The well-known Fourier’s and Fick’s laws are utilized to inspect the heat and mass transport phenomena. The convective energy transport at the surface of the cylinder is assumed and Fourier’s law of thermal conduction is modelled in terms of non-uniform heat source/sink and Joule heating. Additionally, the prescribed surface temperature (PST) is considered here. Governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by utilizing suitable similarity transformations. To deal with ODEs, a numerical technique namely BVP midrich scheme in Maple is utilized. The behavior of different physical parameters is explored and depicted in form of graphs and discussed with reasonable arguments. Basic physical intimation of gained results is that the higher Eckert number intensifies the thermal profile of nanofluid. Moreover, the nano particles concentration profile builds up for higher amount of thermophoretic force constraint Solutal distribution of Burgers nanofluid depicts growing trend for larger solutal Biot number