幂律粘性牛顿流体边界层的非迭代变换法
A Non-Iterative Transformation Method for Boundary-Layer with Power-Law Viscosity for Newtonian Fluids
摘要：
在本文中，我们定义了一个非ITM，并将其应用于一个扩展的Blasius问题，该问题描述了具有幂律粘度的牛顿流体的二维层流边界层。对于所涉及的参数的特定值，这个问题减少到著名的Blasius问题，在这种特定的情况下，我们的方法减少到Töpfer非迭代算法。在这种情况下，我们能够有利地比较所获得的数值结果与文献中的那些所谓的失踪的初始条件。此外，我们列出了所涉及的参数的大范围内的缺失初始条件的计算值，并且为了说明的目的，我们绘制了相关参数的两个值的数值解计算的参考解的重新缩放。
英文摘要：
In this paper, we have defined and applied a non-ITM to an extended Blasius problem describing a 2D laminar boundary-layer with power-law viscosity for Newtonian fluids. For a particular value of the parameter involved, this problem reduces to the celebrated Blasius problem and in this particular case, our method reduces to the Töpfer non-iterative algorithm. In this case, we are able to compare favourably the obtained numerical result for the so-called missing initial condition with those available in the literature. Moreover, we have listed the computed values of the missing initial condition for a large range of the parameter involved, and for illustrative purposes, we have plotted, for two values of the related parameter, the numerical solution computed rescaling a reference solution.
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