Thin-film flow over a nonlinear stretching sheet |
| |
Authors: | Bidyut Santra Bhabani S. Dandapat |
| |
Affiliation: | (1) Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B. T. Road, Calcutta, 700 108, India;(2) Present address: Sikkim Manipal Institute of Technology, Majitar, Rangpo, 737 132, East Sikkim, India |
| |
Abstract: | A thin viscous liquid film flow is developed over a stretching sheet under different nonlinear stretching velocities. An evolution equation for the film thickness, is derived using long-wave approximation of thin liquid film and is solved numerically by using the Newton–Kantorovich method. A comparison is made with the analytic solution obtained in [B. S. Dandapat, A. Kitamura, B. Santra, “Transient film profile of thin liquid film flow on a stretching surface”, ZAMP, 57, 623-635 (2006)]. It is observed that all types of stretching produce film thinning but non-monotonic stretching produces faster thinning at small distance from the origin. The velocity u along the stretching direction strongly depends on the distance along the stretching direction and the Froude number. |
| |
Keywords: | KeywordHeading" >. Thin liquid film free surface flow viscous flow nonlinear stretching stretching sheet |
本文献已被 SpringerLink 等数据库收录! |
|