Abstract

Application of the method of fundamental solutions in combination with the global radial basis function collocation method for analysis of fluid flow and heat transfer in an internally finned square duct is presented in the paper. Fluid flow problem is solved using the modified method of fundamental solutions. After that, the average fluid velocity and product of friction factor and Reynolds number can be determined. Heat transfer problem in the fluid is governed by a nonlinear equation with linear boundary conditions. The Picard iteration method is employed in the paper in order to transform the nonlinear problem into a sequence of inhomogeneous problems. At each iteration step, the general solution is obtained using the modified method of fundamental solutions and the particular solution is obtained using the global radial basis function collocation method. When the iteration process is stopped, the Nusselt number can be determined.

中文翻译：

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用于分析内部带翅片方管中流体流动和传热的无网格程序

摘要

本文介绍了基本解方法与整体径向基函数搭配方法相结合的方法在分析内部翅片方管中的流体流动和传热中的应用。使用改进的基本解法可以解决流体流动问题。此后，可以确定平均流体速度和摩擦系数与雷诺数的乘积。流体中的传热问题由具有线性边界条件的非线性方程控制。本文采用Picard迭代方法将非线性问题转化为一系列不均匀问题。在每个迭代步骤中 一般解决方案是使用基本解决方案的改进方法获得的，而特定解决方案是使用全局径向基函数配置方法获得的。当迭代过程停止时，可以确定Nusselt数。