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首页> 外文期刊>Mathematical Problems in Engineering >Shock Wave Solutions for Some Nonlinear Flow Models Arising in the Study of a Non-Newtonian Third Grade Fluid
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Shock Wave Solutions for Some Nonlinear Flow Models Arising in the Study of a Non-Newtonian Third Grade Fluid

机译：非牛顿第三级流体研究中某些非线性流动模型的冲击波解

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摘要

This study is based upon constructing a new class of closed-form shock wave solutions for some nonlinear problems arising in the study of a third grade fluid model. The Lie symmetry reduction technique has been employed to reduce the governing nonlinear partial differential equations into nonlinear ordinary differential equations. The reduced equations are then solved analytically, and the shock wave solutions are constructed. The conditions on the physical parameters of the flow problems also fall out naturally in the process of the derivation of the solutions.
机译：这项研究是基于构造一类新的闭合形式的冲击波解决方案，以解决在研究三级流体模型时出现的一些非线性问题。已采用李对称减少技术将控制的非线性偏微分方程简化为非线性常微分方程。然后对简化后的方程进行解析求解，并构造了冲击波解。流动问题的物理参数条件在解的推导过程中也会自然消失。

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  • 来源
    《Mathematical Problems in Engineering》 |2013年第7期|602902.1-602902.6|共6页
  • 作者

    Taha Aziz; R. J. Moitsheki; A. Fatima; F. M. Mahomed;

  • 作者单位

    Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics,University of the Witwatersrand, Wits 2050, South Africa;

    Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics,University of the Witwatersrand, Wits 2050, South Africa;

    Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics,University of the Witwatersrand, Wits 2050, South Africa;

    Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics,University of the Witwatersrand, Wits 2050, South Africa;

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