Effect of temperature dependent viscosity on revolving axi-symmetric ferrofluid flow with heat transfer

作     者：P. RAM V. KUMAR P. RAM;V. KUMAR

作者机构：Department of Mathematics National Institute of TechnologyKurukshetra Haryana 136119 India 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2012年第33卷第11期

页      面：1441-1452页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Acknowledgements The authors are greatly thankful to the reviewers for their critical comments and valuable suggestions which lead to the improvement in the quality of this research work 

主　　题：ferrofluid temperature dependent viscosity boundary layer axi-symmetry,magnetic field 

摘      要：The prime objective of the present study is to examine the effect of tempera- ture dependent viscosity/z（T） on the revolving axi-symmetric laminar boundary layer flow of an incompressible, electrically non-conducting ferrofiuid in the presence of a stationary plate subjected to a magnetic field and maintained at a uniform temperature. To serve this purpose, the non-linear coupled partial differential equations are firstly converted into the ordinary differential equations using well-known similarity transformations. The popular finite difference method is employed to discretize the non-linear coupled differ- ential equations. These discretized equations are then solved using the Newton method in MATLAB, for which an initial guess is made with the help of the Flex PDE Solver. Along with the velocity profiles, the effects of temperature dependent viscosity are also examined on the skin friction, the heat transfer, and the boundary layer displacement thickness. The obtained results are presented numerically as well as graphically.