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APPLICATION OF THE HOMOTOPY ANALYSIS METHOD (HAM) TO THIN FILM FLOW OF A GENERALIZED SECOND-GRADE FLUID ON A VERTICALLY MOVING BELT |
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| Authors: | S Abelman S N Neossi Nguetchue |
| Affiliation: | 1. Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics , University of the Witwatersrand , Johannesburg , Private Bag 3, Wits 2050 , South Africa Shirley.Abelman@wits.ac.za;3. Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics , University of the Witwatersrand , Johannesburg , Private Bag 3, Wits 2050 , South Africa |
| Abstract: | We formulate and apply the homotopy analysis method (HAM) to determine the solution of the nonlinear differential equation governing thin film flow of a generalized second-grade fluid on a vertically moving belt. This problem is also known as the Landau–Levich or drag-out problem, which is the problem of withdrawal of a plate or fiber from a liquid bath. We make use of a modified model that has shear-dependent viscosity and that can predict normal stress differences. The results obtained exhibit the effectiveness and reliability of HAM. |
| Keywords: | Generalized second-grade fluid Homotopy analysis method (HAM) Moving belt Thin film flow |