Blasius牛顿边界层到Blasius非牛顿边界层的推广

Manisha Patel, H. Surati, M. G. Timol
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引用次数: 0

摘要

Blasius方程是一个非常有名的方程,它在流体力学的许多边界层问题中都有应用。本文通过将应力应变项由牛顿量转化为非牛顿量,对Blasius边界层进行了扩展。利用幂律模型、Sisko模型和Prandtl模型等非牛顿流体模型讨论了Blasius边界层的扩展。利用单参数演绎群论技术,将上述三种模型的广义Blasius边界层控制偏微分方程转化为非线性常微分方程。然后对得到的相似解进行数值求解。图形表示也解释了相同的。结果表明,当流体指数由剪切增厚流体向剪切减薄流体移动时,速度增加更快。MSC 2020号: 76a05, 76d10, 76m99
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Extension of Blasius Newtonian Boundary Layer to Blasius Non-Newtonian Boundary Layer
Blasius equation is very well known and it aries in many boundary layer problems of fluid dynamics. In this present article, the Blasius boundary layer is extended by transforming the stress strain term from Newtonian to non-Newtonian. The extension of Blasius boundary layer is discussed using some non-newtonian fluid models like, Power-law model, Sisko model and Prandtl model. The Generalised governing partial differential equations for Blasius boundary layer for all above three models are transformed into the non-linear ordinary differewntial equations using the one parameter deductive group theory technique. The obtained similarity solutions are then solved numerically. The graphical presentation is also explained for the same. It concludes that velocity increases more rapidly when fluid index is moving from shear thickninhg to shear thininhg fluid.MSC 2020 No.: 76A05, 76D10, 76M99
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