Thin film flow of an Oldroyd 6-constant fluid over a moving belt: an analytic approximate solution

Open Physics

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 Vibration, Timişoara, 300222, Romania and Department of Electromechanics and Vibration, Center for Advanced and Fundamental Technical Research, Romania Academy, Timişoara, 300223, Romania;

关键词: optimal homotopy asymptotic method;    nonlinear equations;    nonlinear boundary conditions;    oldroyd 6-constant;    02.60.-x;    47.11.-j;    47.50.-d;   

DOI  :  10.1515/phys-2016-0005

来源: DOAJ

【 摘 要 】

In this paper the thin film flow of an Oldroyd 6-constant fluid on a vertically moving belt is investigated. The basic equation of a non-Newtonian fluid in a container with a wide moving belt which passes through the container moving vertically upward with constant velocity, is reduced to an ordinary nonlinear differential equation. This equation is solved approximately by means of the Optimal Homotopy Asymptotic Method (OHAM). The solutions take into account the behavior of Newtonian and non-Newtonian fluids. Our procedure intended for solving nonlinear problems does not need small parameters in the equation and provides a convenient way to control the convergence of the approximate solutions.

【 授权许可】

Unknown