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Effects of heat transfer and viscous dissipation on MHD free convection flow past an exponentially accelerated vertical plate with variable temperature

机译:传热和粘性耗散对MHD自由对流通过温度呈指数加速的垂直平板的影响

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The unsteady free convection flow of an incompressible viscous fluid past an exponentially accelerated vertical plate is analyzed by taking into an account the heat due to viscous dissipation under the influence of a uniform transverse magnetic field. The problem is governed by coupled non-linear partial differential equations. Dimensionless equations of the problem have been solved numerically by the implicit finite difference method of Crank – Nicolson’s type. The effect of magnetic parameter M, Grashof number Gr, Eckert number E, time and an acceleration parameter a on velocity and temperature fields are investigated through graphs. Skin friction coefficient is derived, discussed numerically and presented through a table.DOI: 10.3329/jname.v7i2.4370
机译:通过考虑在均匀横向磁场的影响下由于粘性耗散引起的热量,分析了不可压缩粘性流体流过指数加速垂直板的非稳态自由对流。该问题由耦合的非线性偏微分方程控制。问题的无因次方程式已通过Crank – Nicolson类型的隐式有限差分方法进行了数值求解。通过图表研究了磁参数M,格拉斯霍夫数Gr,埃克特数E,时间和加速度参数a对速度和温度场的影响。得出皮肤摩擦系数,进行数值讨论并通过表格给出。DOI:10.3329 / jname.v7i2.4370

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