Optimal Auxiliary Functions Method for viscous flow due to a stretching surface with partial slip

Open Engineering

Marinca Valentin Bogdan¹  Ene Remus-Daniel²  Marinca Vasile³ 

[1] University Politehnica Timişoara, Department of Applied Electronics, Timişoara, 300223, Romania;University Politehnica Timişoara, Department of Mathematics, Timişoara, 300006, Romania;University Politehnica Timişoara, Department of Mechanics and Strength of Materials, Timişoara, 300222, Romania;

关键词: optimal auxiliary functions method;    viscous flow;    partial slip;    stretching surface;    02.60.-x;    47.11.-j;    47.50.-d;   

DOI  :  10.1515/eng-2018-0028

来源: DOAJ

【 摘 要 】

The viscous flow induced by a stretching surface with partial slip is investigated. The flow is governed by a third-order nonlinear differential equation, corresponding to the planar and axisymmetric stretching. The derived equation of motion is solved analytically by Optimal Auxiliary Functions Method (OAFM). This procedure is highly efficient and it controls the convergence of the approximate solution. A few examples are given, showing the exceptionally good agreement between the analytical and numerical solutions of the nonlinear problem. OAFM is very efficient in practice, ensuring a very rapid convergence after only one iteration.

【 授权许可】

Unknown