卡森流体在恒定壁温下随时间速度流过垂直板的通解

Allia Naseem
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引用次数: 1

摘要

研究了壁温不变、速度随时间变化的无边界直立板上Casson流体的非定常自由对流。通过引入无量纲变量,利用拉普拉斯变换方法得到了一般解。对应于牛顿流体的γ→ ∞ 作为限制情况而获得。我们还讨论了对应于(i)f(t)=fH(t),(ii)f(t)=fta,a>0(iii)f(特·fH(t)cos(ωt)的精确解,作为我们一般解的特例。还给出了剪切应力与表面摩擦的关系式和努塞尔数形式的传热率的表达式。以图形方式讨论了不同参数的速度和温度分布。AMS数学科目分类:26D15、26A51、26D10、26A15。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
General solution of Casson fluid past a vertical plate subject to the time dependent velocity with constant wall temperature
Unsteady free convection flow of Casson fluid over an unbounded upright plate subject to time dependent velocity Uof(t) with constant wall temperature has been carried out. By introducing dimensionless variables, the general solutions are obtained by Laplace transform method. The solution corresponding to Newtonian fluid for γ → ∞ is obtained as a limiting case. Exact solutions corresponding to (i) f(t) = fH(t), (ii) f(t) = fta, a > 0 (iii) f(t) = fH(t)cos(ωt) are also discussed as special cases of our general solutions. Expressions for shear stress in terms of skin friction and the rate of heat transfer in the form of Nusselt number are also presented. Velocity and temperature profiles for different parameters are discussed graphically. AMS Mathematics Subject Classification: 26D15, 26A51, 26D10, 26A15.
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