Finite difference solution of the Falkner-Skan wedge flow equation

S.Han

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Finite difference solution of the Falkner-Skan wedge flow equation

机译：Falkner-Skan楔流方程的有限差分解

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摘要

A simple numerical method for the solution of the Falkner-Skan boundary layer flow is presented. A third-order ordinary differential equation is recast into two ordinary differential equations, one first order and the other second order. Finite difference approximations of both equations are sequentially solved iteratively with any arbitrary initial conditions. Numerical solutions were found to be in good agreement with published data over a wide range of wedge flows.

机译：提出了一种简单的数值方法求解Falkner-Skan边界层流。将三阶常微分方程改写为两个常微分方程，一个为一阶，另一个为二阶。在任何任意初始条件下，依次迭代求解两个方程式的有限差分近似。发现数值解与各种楔流中的已发布数据非常吻合。

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来源
《International Journal of Mechanical Engineering Education》 |2013年第1期|1-7|共7页
作者
S.Han;
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作者单位

Department of Mechanical Engineering, Tennessee Technological University, Cookeville, TN 38505, USA;

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原文格式 PDF
正文语种 eng
中图分类
关键词
solutions; Falkner-Skan; difference scheme; Matlab;

机译：解决方案;福克纳-斯坎差异方案;Matlab的;

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专利

1. Numerical solution of the Falkner-Skan equation using third-order and high-order-compact finite difference schemes [J] . Duque-Daza Carlos, Lockerby Duncan, Galeano Carlos Journal of the Brazilian Society of Mechanical Sciences and Engineering . 2011,第4期

机译：使用三阶和高阶紧致有限差分格式的Falkner-Skan方程数值解
2. Slip flow and heat transfer over a specific wedge: an exactly solvable Falkner-Skan equation [J] . Mustafa Turkyilmazoglu Journal of engineering mathematics . 2015,第1期

机译：特定楔形上的滑流和热传递：一个完全可解的Falkner-Skan方程
3. Falkner-Skan equation for flow past a moving wedge with suction or injection [J] . Anuar Ishak, Roslinda Nazar, Ioan Pop Journal of Applied Mathematics and Computing . 2007,第1a2期

机译：Falkner-Skan方程，用于通过带有抽吸或注入的运动楔形物流动
4. Solution of Falkner-Skan Unsteady MHD Boundary Layer Flow and Heat Transfer past a Moving Porous Wedge in a Nanofluid [C] . M. S. Alam, M. Ali, M. A. Alim International Conference on Marine Technology . 2017

机译：Falkner-Skan不稳定的MHD边界层流动和传热通过在纳米流体中移动多孔楔
5. Twin solutions of even order boundary value problems for ordinary differential equations and finite difference equations. [D] . Sun, Xun. 2009

机译：常微分方程和有限差分方程偶数边值问题的孪生解。
6. High accuracy finite difference approximation to solutions of elliptic partial differential equations [O] . Robert E. Lynch, John R. Rice 1978

机译：椭圆型偏微分方程解的高精度有限差分近似
7. Numerical solution of the Falkner-Skan equation using third-order and high-order-compact finite difference schemes [O] . Duque-Daza, Carlos, Lockerby, Duncan A., Galeano, Carlos 2011

机译：使用三阶和高阶紧致有限差分格式的Falkner-Skan方程数值解
8. An Investigation of the Method of Finite Elements with Accuracy Comparisons to the Method of Finite Differences for Solution of the Transient Heat Conduction Equation Using Optimum Implicit Formulations. [R] . geneczko,joseph c. 1978

机译：用最优隐式公式求解瞬态热传导方程有限差分法精度有限元法的研究。

Finite difference solution of the Falkner-Skan wedge flow equation

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