...
首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Solutions of the blasius and MHD Falkner-Skan boundary-layer equations by modified rational bernoulli functions
【24h】

Solutions of the blasius and MHD Falkner-Skan boundary-layer equations by modified rational bernoulli functions

机译:修正有理bernoulli函数解blasius和MHD Falkner-Skan边界层方程

获取原文
获取原文并翻译 | 示例
           

摘要

Purpose - This paper aims to propose a new numerical method for the solution of the Blasius and magnetohydrodynamic (MHD) Falkner-Skan boundary-layer equations. The Blasius and MHD Falkner-Skan equations are third-order nonlinear boundary value problems on the semi-infinite domain. Design/methodology/approach - The approach is based upon modified rational Bernoulli functions. The operational matrices of derivative and product of modified rational Bernoulli functions are presented. These matrices together with the collocation method are then utilized to reduce the solution of the Blasius and MHD Falkner-Skan boundary-layer equations to the solution of a system of algebraic equations. Findings - The method is computationally very attractive and gives very accurate results. Originality/value - Many problems in science and engineering are set in unbounded domains. One approach to solve these problems is based on rational functions. In this work, a new rational function is used to find solutions of the Blasius and MHD Falkner-Skan boundary-layer equations.
机译:目的-本文旨在为解决Blasius和磁流体动力学(MHD)Falkner-Skan边界层方程提供一种新的数值方法。 Blasius和MHD Falkner-Skan方程是半无限域上的三阶非线性边值问题。设计/方法/方法-该方法基于修改后的有理伯努利函数。给出了修正的有理伯努利函数的导数和乘积的运算矩阵。然后将这些矩阵与搭配方法一起用于将Blasius和MHD Falkner-Skan边界层方程的解简化为代数方程组的解。结果-该方法在计算上非常吸引人,并且给出了非常准确的结果。原创性/价值-科学和工程学中的许多问题都设在无界的领域。解决这些问题的一种方法是基于有理函数。在这项工作中,使用了一个新的有理函数来查找Blasius和MHD Falkner-Skan边界层方程的解。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号