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首页> 外文期刊>Computational thermal sciences >NATURAL CONVECTIVE HEAT TRANSFER FLOW OF A NON-NEWTONIAN SECOND-GRADE FLUID PAST AN ISOTHERMAL SPHERE
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NATURAL CONVECTIVE HEAT TRANSFER FLOW OF A NON-NEWTONIAN SECOND-GRADE FLUID PAST AN ISOTHERMAL SPHERE

机译：非牛顿二阶流体过去等温球的自然对流换热流

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摘要

An analysis is performed to study free convective boundary layer flow of second-grade fluid along an isothermal, impermeable sphere. The Clausius-Duhem inequality is used to describe the second-grade fluid, the presence at stress terms in momentum boundary layer equations. The governing boundary layer equations are transformed into nondimensional form by using specified nonsimilarity variables. A numerical solution is obtained by employing the validated, efficient, implicite finite difference method with Keller box scheme. A parametric study of physical parameters, Deborah number, and Prandtl number involved in the problem is conducted and a representative set of numerical results for velocity and temperature profiles as well as skin friction coefficient and Nusselt number are illustrated graphically and in tabular form. Comparisons with previously published work for different values of the physical parameter of the problem are reported and the existing results are found to be in excellent agreement. An increasing Deborah number retards the velocity and Nusselt number inside the boundary layer region while accelerating the temperature profile and skin friction coefficient. Increasing Prandtl number results in depreciation in the velocity, temperature profiles, and skin friction coefficient while the Nusselt number increased. Applications of the model arise in polymer processing in chemical engineering as well as metallurgical materials processing.
机译：进行分析以研究二级流体沿等温，不可渗透球体的自由对流边界层流动。 Clausius-Duhem不等式用于描述二级流体，即动量边界层方程中应力项的存在。通过使用指定的非相似性变量，将控制边界层方程式转换为无量纲形式。通过采用经过验证的，有效的，隐式有限差分法和Keller box方案，获得了数值解。对涉及该问题的物理参数，Deborah数和Prandtl数进行了参数研究，并以图形和表格形式显示了一组具有代表性的速度和温度曲线数值结果以及皮肤摩擦系数和Nusselt数。报告与问题的物理参数的不同值与先前发表的工作进行了比较，发现现有结果非常一致。增大的Deborah数会延迟边界层区域内部的速度和Nusselt数，同时会加速温度分布和皮肤摩擦系数。普朗特数增加会导致速度，温度曲线和皮肤摩擦系数下降，而努塞尔特数会增加。该模型的应用出现在化学工程中的聚合物加工以及冶金材料加工中。

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