考虑变热传导系数和粘性系数的MHD驻点流问题研究
Effects of Variable Thermal Conductivity and Viscosity on MHD Stagnation-Point Flow
DOI: 10.12677/IJFD.2016.44009, PDF, HTML, XML, 下载: 1,652  浏览: 4,107  科研立项经费支持
作者: 李胜男：沈阳师范大学数学与系统科学学院，辽宁 沈阳
关键词: 驻点流；MHD流；相似解；变热传导系数；变粘性系数；Stagnation-Point Flow； MHD Flow； Similarity Solutions； Variable Thermal Conductivity； Variable Viscosity
摘要: 本文研究了考虑变热传导系数和粘性系数的二维定常MHD驻点流动问题。其中热传导系数和粘性系数是温度的函数。通过相似变换，将N-S控制方程组转化为常微分方程组；再利用打靶法计算此常微分方程组的数值解。分别对不同的磁场参数、流体粘性参数和普朗特数进行了数值计算，详细分析了磁场效应和温度变化对壁面摩擦系数、壁面传热及流场特征等的影响。
Abstract: The two-dimensional MHD stagnation-point flow with variable thermal conductivity and viscosity is studied. The thermal conductivity and viscosity are considered as functions of temperature. The governing Navier-Stokes equations are transformed into a set of ordinary differential equations (ODEs) by similarity transformation. The transformed ODEs are solved numerically using shooting method. Numerical calculations for various magnetic parameters, fluid viscosity parameters and Prandtl numbers are carried out, and the effects of magnetic strength and temperature changes to the skin friction coefficient, heat transfer near the wall and flow field characteristics are discussed in detail.
文章引用：李胜男. 考虑变热传导系数和粘性系数的MHD驻点流问题研究[J]. 流体动力学, 2016, 4(4): 69-81. http://dx.doi.org/10.12677/IJFD.2016.44009

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