Eur. Phys. J. Plus (2014) 129: 92
https://doi.org/10.1140/epjp/i2014-14092-4

Regular Article

Magnetohydrodynamic viscous flow over a nonlinearly moving surface: Closed-form solutions

Mechanical and Aerospace Engineering Department, North Carolina State University, 3246 Engineering Building III - Campus Box 7910, 911 Oval Drive, 27695-7910, Raleigh, NC, USA

^* e-mail: tfang2@ncsu.edu

Received: 6 February 2014
Accepted: 5 April 2014
Published online: 26 May 2014

Abstract

In this paper, the magnetohydrodynamic (MHD) flow over a nonlinearly (power-law velocity) moving surface is investigated analytically and solutions are presented for a few special conditions. The solutions are obtained in closed forms with hyperbolic functions. The effects of the magnetic, the wall moving, and the mass transpiration parameters are discussed. These solutions are important to show the flow physics as well as to be used as bench mark problems for numerical validation and development of new solution schemes.