Abstract

AbstractA theoretical study of unsteady magnetohydrodynamic boundary layer stagnation point flow, heat and mass transfer of a second grade electrically-conducting nanofluid from a horizontal stretching sheet with thermal slip and second order slip velocity effects is presented. The Buongiorno formulation is employed for nanofluids and in addition the no-flux nanoparticle boundary condition is also considered. The appropriate similarity transformations are applied to convert the governing equations into the system of nonlinear partial differential equations, which is solved by using homotopy analysis method. Entropy generation and Bejan number have also been evaluated for the effects of magnetic parameter, Reynolds number and slip parameter in non-Newtonian (second-grade) time-dependent flow. The computations show that skin friction coefficient and entropy generation number increase with an increment in magnetic parameter whereas Bejan number decreases with it. Local Nusselt number decreases with an increase in the value of Eckert number (viscous dissipation) and thermal slip whereas the converse behaviour is captured for velocity parameter. The work is relevant to magnetohydrodynamic nanomaterials processing.

Highlights

  • Non-Newtonian uid ows feature in an extensive range of technological applications including polymer processing, wire coating, food manufacture, biological uids movement, hot rolling, bre technology, crystal growth and petroleum puri cation [1, 2]

  • The present study has developed a mathematical model for time-dependent MHD boundary layer stagnation point heat and mass transfer in second grade nano uid ow over a horizontal stretching sheet

  • Second order slip velocity and thermal slip e ects have been considered with no- ux nanoparticles condition

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Summary

Introduction

Non-Newtonian uid ows feature in an extensive range of technological applications including polymer processing, wire coating, food manufacture, biological uids movement, hot rolling, bre technology, crystal growth and petroleum puri cation [1, 2].

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