The flow of a variable viscosity fluid down an inclined plane with a free surface
Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
Abstract
The effect of a temperature dependent variable viscosity fluid flow down an inclined plane with a free surface is investigated.The
fluid film is thin, so that lubrication approximation may be applied. Convective heating effects are included, and the fluid viscosity
decreases exponentially with temperature. In general, the flow equations resulting from the variable viscosity model must be solved
numerically. However, when the viscosity variation is small, then an asymptotic approximation is possible. The full solutions for
the temperature and velocity profiles are derived using the Runge-Kutta numerical method.The flow controlling parameters such
as the nondimensional viscosity variation parameter, the Biot and the Brinkman numbers, are found to have a profound effect on
the resulting flow profiles.
Description
CITATION: Tshehla, M. S. 2013. The flow of a variable viscosity fluid down an inclined plane with a free surface. Mathematical Problems in Engineering, 2013, Article ID 754782, doi:10.1155/2013/754782.
The original publication is available at https://www.hindawi.com/journals/mpe
The original publication is available at https://www.hindawi.com/journals/mpe
Keywords
Viscous flow, Viscosity -- Mathematics, Fluid dynamics, Heat -- Convection
Citation
Tshehla, M. S. 2013. The flow of a variable viscosity fluid down an inclined plane with a free surface. Mathematical Problems in Engineering, 2013, Article ID 754782, doi:10.1155/2013/754782.