Similarity Solutions of the MHD Stagnation-Point Flow over a Power-Law Stretching Sheet

Abstract:

A similarity analysis is performed for a steady laminar boundary layer stagnation-point flow of an electrically conducting fluid in a porous medium subject to a transverse non-uniform magnetic field past a non-linear stretching sheet. A scaling group of transformations is applied to get the invariants. Using the invariants, a third order ordinary differential equation corresponding to the momentum is obtained. We show the existence and uniqueness of convex and concave solutions for the power law exponent, according to the values of magnetic parameter, permeability parameter and velocity ratio parameter.

• Periodical: Applied Mechanics and Materials (Volumes 52-54)
• Pages: 1895-1900
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.52-54.1895
• Online since: March 2011
• Authors: Jing Zhu, Lian Cun Zheng, Xue Hui Chen
• Keywords: Boundary Layer, Scaling Group of Transformations, Similarity Solution, Stagnation Point

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