The Magnetohydrodynamic Boundary Layer Flow of a Nanofluid past a Stretching/Shrinking Sheet with Slip Boundary Conditions

Abstract

The magnetohydrodynamic (MHD) boundary layer flow of a nanofluid past a stretching/shrinking sheet with velocity, thermal, and solutal slip boundary conditions is studied. Numerical solutions to the governing equations were obtained using a shooting method. The skin friction coefficient and the local Sherwood number increase as the stretching/shrinking parameter increases. However, the local Nusselt number decreases with increasing the stretching/shrinking parameter. The range of the stretching/shrinking parameter for which the solution exists increases as the velocity slip parameter and the magnetic parameter increase. For the shrinking sheet, the skin friction coefficient increases as the velocity slip parameter and the magnetic parameter increase. For the stretching sheet, it decreases when the velocity slip parameter and the magnetic parameter increase. The local Nusselt number diminishes as the thermal slip parameter increases while the local Sherwood number decreases with increasing the solutal slip parameter. The local Nusselt number is lower for higher values of Lewis number, Brownian motion parameter, and thermophoresis parameter.

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Multiple Slip and Inspiration Effects on Hydromagnetic Casson Fluid in a Channel with Stretchable Walls

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Impact of Brownian moment and thermophoresis on magnetohydrodynamic flow of magnetic nanofluid past an elongated sheet in the presence of thermal diffusion

“…Since then, Makinde and Aziz (2011) incorporated these slip mechanisms to analyze the flow of nanofluid caused by stretching surface with convectively heated boundary limitations. Later on, many researchers (Rana and Bhargava, 2012;Mansur and Ishak, 2014;Sandeep, Rushi Kumar and Jagadeesh Kumar, 2015;Imtiaz et al, 2016;Koriko et al, 2018;Shah et al, 2018;Reddy et al, 2017;Vajravelu et al, 2016) utilized (Buongiorno, 2006) slip mechanism to enlarge the heat conduction rate. Recently, Sulochana et al (2016cSulochana et al ( , 2017a discussed the impact of suction/ injection on the flow of Carreau nanofluid with thermophoresis and Brownian motion.…”