Suction and injection analysis of MHD nano boundary-layer over a stretching surface through a porous medium with partial slip boundary condition

Abstract

The study of nano boundary-layer over two dimensional and an axisymmetric stretching surface through a porous medium under the effect of a transverse magnetic field are presented. It should be noted that the standard no-slip boundary condition in classical fluid mechanics does not apply at the micro and nano-scale and it must be then replaced by a boundary condition that assumed the velocity slip to be proportional to the local shear stress. The governing partial differential equations are transformed into a nonlinear ordinary differential equation using similarity transformations. Exact solution is then obtained in the 2D case, the problem is further numerically solved by Chebyshev pseudospectral differentiation matrix (ChPDM) technique for the axisymmteric case. It is found that the nano boundary-layer thickness is smaller and highly influenced in the existence of the magnetic and permeability parameters for both suction and injection cases. In addition, as expecting for such …