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首页> 外文期刊>Advances in Mechanical Engineering >Computational Modelling and Similarity Reduction of Equations for Transient Fluid Flow and Heat Transfer with Variable Properties
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Computational Modelling and Similarity Reduction of Equations for Transient Fluid Flow and Heat Transfer with Variable Properties

机译：具有可变属性的瞬态流体流动和热传递方程的计算建模和相似度约简

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摘要

We consider a system of coupled partial differential equations describing transient fluid flow and heat transfer with variable flow properties. Classical Lie point symmetry analysis of this system resulted in admitted large Lie algebras for some special cases of the arbitrary constants and the source term. Symmetry reductions are performed and as such the system of partial differential equations is reduced to the system of ordinary differential equations. Some reduced ordinary differential equation could be solved exactly with restrictions on the parameters appearing in it. In addition, shooting quadrature is employed to numerically tackle the nonlinear model boundary value problem and pertinent results are presented graphically and discussed quantitatively.
机译：我们考虑一个耦合的偏微分方程系统，该系统描述了瞬态流体流动和具有可变流动特性的热传递。对于该系统的经典Lie点对称性分析，在任意常数和源项的某些特殊情况下，产生了较大的Lie代数。进行对称约简，因此将偏微分方程组简化为常微分方程组。某些简化的常微分方程可以通过限制出现在其中的参数来精确求解。另外，采用射击正交算法对数值模型的非线性边值问题进行数值求解，并对结果进行了图形化表示和定量讨论。

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