论文标题
牛顿流体的幂律粘度的边界层的非著作转换方法
A Non-Iterative Transformation Method for Boundary-Layer with Power-Law Viscosity for Newtonian Fluids
论文作者
论文摘要
在本文中，我们将非ITM定义为延伸的Blasius问题，该问题描述了具有牛顿流体的幂律粘度的2D层流边界层。对于所涉及的参数的特定价值，此问题减少了著名的Blasius问题，在这种情况下，我们的方法将其减少到Töpfer非题算法。在这种情况下，我们能够对所谓的缺失初始条件与文献中可用的数字结果进行有利的比较。此外，我们已经列出了涉及大量参数的丢失初始条件的计算值，并且出于说明性目的，我们绘制了相关参数的两个值，该值计算的数值解决方案重新缩放了参考解决方案。
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.
