Magnetohydrodynamic stagnation-point flow of Sisko nanofluid over a stretching sheet with suction
Dulal Pal a,*, Gopinath Mandal b
a. Department of Mathematics, Institute of Science, Visva-Bharati University, Santiniketan, West Bengal-731 235, India
b. Siksha Satra, Visva-Bharati, Sriniketan, West Bengal-731 236, India
Abstract: A numerical investigation is presented to show the effects of thermo-diffusion on the hydromagnetic stagnation-point flow of Sisko nanofluid over a linearly stretching sheet by considering viscous dissipation and Joule heating with suction/injection. A suitable set of similarity transformations is considered in order to convert the basic partial differential equations into a set of coupled nonlinear ordinary differential equations. An efficient numerical method along with shooting technique is involved in order to solve the reduced governing basic equations. The influences of several emerging physical parameters of Sisko nanofluid on the profiles of velocity, temperature, solutal concentration, nanoparticle volume fraction, skin-friction coefficient, Nusselt number, and Sherwood number have been studied and analyzed in detail through graphs and tables. It is found that the skin friction coefficient decays more rapidly against the material parameter of Sisko fluid. Also, it is noticed that the Brownian motion and thermophoresis parameter have the reverse effects on Sisko nanofluid Sherwood number. It is analyzed that the Nusselt number decreases with an increase in the values of thermophoresis parameter, Brownian motion parameter, and Eckert number, while its value increases with material parameter and Dufour solutal Lewis number. It is observed that the Sherwood number has ascending behavior for thermophoresis and, Brownian motion parameters, whereas nanofluid Sherwood number gets amplified with a hike in the nano Lewis number parameter for all the values of Brownian motion parameter.
Keywords: Magnetohydrodynamics; Stagnation-point; Sisko nanofluid; Suction; Joule heating