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Numerical solution of non-Newtonian fluid flow and heat transfer problems in ducts with sharp corners by the modified method of fundamental solutions and radial basis function collocation

机译：改进的基本解和径向基函数配置法数值求解尖角管道中非牛顿流体流动和传热问题

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摘要

In this paper, non-Newtonian fluid flow and heat transfer in an internally finned duct is considered. The problems are governed by nonlinear equations with linear boundary conditions. In this paper, the solution is obtained with two Picard iteration processes, separately for the fluid flow and heat transfer problems. Furthermore, in both problems the solutions consist of the general and particular solutions. The method of fundamental solutions is employed in order to obtain the general solution while radial basis function approximations are used for obtaining the general solution by two possible methods. The results obtained using both approaches give similar results.
机译：在本文中，考虑了在内部翅片管中的非牛顿流体流动和传热。这些问题由具有线性边界条件的非线性方程式控制。在本文中，分别通过两个Picard迭代过程获得了解决方案，分别针对流体流动和传热问题。此外，在两个问题中，解决方案均由一般解决方案和特定解决方案组成。为了获得一般解，采用了基本解法，而通过两种可能的方法，采用径向基函数近似来获得一般解。使用两种方法获得的结果均得出相似的结果。

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