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Effects of nonlinear thermal radiation over magnetized stagnation point flow of Williamson fluid in porous media driven by stretching sheet

Govind R. Rajput, Bipin P. Jadhav, Vishwambhar S. Patil, S. N. Salunkhe

2020Heat Transfer34 citationsDOI

Abstract

Abstract In this study, the stagnation point flow of a magnetized Williamson fluid past a stretching sheet in the presence of nonlinear thermal radiation and buoyancy effect is studied. The present situation is remodeled using similarity transformation that transforms the flow model of partial differential equations into the set of nonlinear ordinary differential equations. The fourth‐order Runge‐Kutta scheme and shooting method are employed to solve these reduced equations. The effects of various associated parameters over the velocity and temperature profiles are plotted and the outcome of each associated parameter is discussed through graphs. The key findings are noted as follows: the velocity profile declines with an increase in the magnetic force number, and an increment in buoyancy parameter leads to the increase in the boundary layer thickness and decrease in the thickness of the thermal boundary layer.

Topics & Concepts

BuoyancyMechanicsBoundary layerStagnation pointNonlinear systemThermal radiationMatrix similarityPartial differential equationStagnation temperatureShooting methodFlow (mathematics)Ordinary differential equationPorous mediumThermalMaterials scienceBoundary value problemPhysicsMathematical analysisMathematicsPorosityDifferential equationThermodynamicsHeat transferComposite materialQuantum mechanicsNanofluid Flow and Heat TransferHeat Transfer MechanismsFluid Dynamics and Turbulent Flows