International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2020, Vol. 5, Issue 2, Part B

The combined effect of magnetic field and viscous dissipation on the boundary layer flow over a permeable stretching sheet in a casson nanofluid with convective boundary condition


Author(s): Ambuja Joshi

Abstract: The boundary layer flow formed due to a linearly stretching sheet in a nanofluid is premeditated numerically. The boundary value problem consisting of nonlinear partial differential equations are converted into nonlinear ordinary differential equations, using similarity transformation and are solved numerically using Runge-Kutta Fehlberg method, with shooting technique. The transport equations include the effects of Brownian motion and thermophoresis. Unlike the commonly employed thermal conditions of constant temperature or constant heat flux, the present study uses a convective heating boundary conditions. The solutions for the temperature and nanoparticle concentration distribution depend on the following parameters, namely, Casson fluid parameter β, suction/injection parameter fw Prandtl number Pr, Lewis number Le, Brownian motion parameter Nb, thermophoresis parameter Nt, Biot number Bi and magnetic field parameter M. Numerical results are presented both in graphical forms, illustrating the effects of these parameters on momentum, thermal and concentration boundary layers. The thermal boundary layer thickness increases, with a rise in the local temperature as the Brownian motion, thermophoresis and convective heating, each intensify. The effect of Lewis number on the temperature distribution is insignificant. With the other parameters unchanging, the local concentration of nanoparticle increases as the convective Biot number increases but decreases as the Lewis number increases.

Pages: 117-130 | Views: 26 | Downloads: 2

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How to cite this article:
Ambuja Joshi. The combined effect of magnetic field and viscous dissipation on the boundary layer flow over a permeable stretching sheet in a casson nanofluid with convective boundary condition. International Journal of Statistics and Applied Mathematics. 2020; 5(2): 117-130.
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