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考虑粘性耗散的边界层磁流体动力学流动的数值解。

Numerical solution of boundary layer MHD flow with viscous dissipation.

作者信息

Mishra S R, Jena S

机构信息

Department of Mathematics, Institute of Technical Education and Research, Siksha 'O' Anusandhan University, Khandagiri, Bhubaneswar, Odisha 751030, India.

Department of Mathematics, Centurion University of Technology and Management, Bhubaneswar, India.

出版信息

ScientificWorldJournal. 2014 Jan 29;2014:756498. doi: 10.1155/2014/756498. eCollection 2014.

DOI:10.1155/2014/756498
PMID:24672367
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3926294/
Abstract

The present paper deals with a steady two-dimensional laminar flow of a viscous incompressible electrically conducting fluid over a shrinking sheet in the presence of uniform transverse magnetic field with viscous dissipation. Using suitable similarity transformations the governing partial differential equations are transformed into ordinary differential equations and then solved numerically by fourth-order Runge-Kutta method with shooting technique. Results for velocity and temperature profiles for different values of the governing parameters have been discussed in detail with graphical representation. The numerical evaluation of skin friction and Nusselt number are also given in this paper.

摘要

本文研究了粘性不可压缩导电流体在存在粘性耗散的均匀横向磁场作用下，在收缩薄板上的二维稳态层流。通过适当的相似变换，将控制偏微分方程转化为常微分方程，然后采用四阶龙格 - 库塔方法结合打靶技术进行数值求解。详细讨论了不同控制参数值下速度和温度分布的结果，并给出了图形表示。本文还给出了表面摩擦系数和努塞尔数的数值计算结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/cc83d683cf42/TSWJ2014-756498.006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/0d80859efce0/TSWJ2014-756498.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/afe8966b2e75/TSWJ2014-756498.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/43d3387432e1/TSWJ2014-756498.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/fd0c064771a9/TSWJ2014-756498.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/abb680a9cde5/TSWJ2014-756498.005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/cc83d683cf42/TSWJ2014-756498.006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/0d80859efce0/TSWJ2014-756498.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/afe8966b2e75/TSWJ2014-756498.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/43d3387432e1/TSWJ2014-756498.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/fd0c064771a9/TSWJ2014-756498.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/abb680a9cde5/TSWJ2014-756498.005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0dda/3926294/cc83d683cf42/TSWJ2014-756498.006.jpg

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