文章基本信息

标题：Computational Power Series Solution of Non- Linear Non-Darcy Momentum Transport and Heat Transport Equations through Cylindrical Porous Annulus
本地全文：下载
作者：Ashoka S. B
期刊名称：International Journal of Computer Trends and Technology
电子版ISSN：2231-2803
出版年度：2016
卷号：36
期号：3
DOI：10.14445/22312803/IJCTT-V36P130
出版社：Seventh Sense Research Group
摘要：The solution of the twopoint boundary value problem arising in a fullydeveloped, nonlinear, nonDarcy flow through a cylindrical porous annulus is obtained using the univariate differential transform method. Radius of convergence of the power series solution is determined using the DombSykes plot. For those combinations of parameters' values for which the series solution diverges, appropriate Padeapproximent is used to get a convergent solution. Numerical experimentation using a combination of choice of infinity, degree of the polynomial and order of the Padeapproximent is exhaustively performed to get the desired convergence in the solution for any given accuracy. Computation of the flow velocity is done using the free and open source software Maxima. The method successfully gives the required solution for large values of Forchheimer number when shooting method fails to do so. It is shown that Nusselt increases with individual increases in Darcy number, Forchheimer number and Brinkman number.
关键词：It is shown that Nusselt increases withindividual increases in Darcy number; Forchheimernumber and Brinkman number.