The flow of a variable viscosity fluid down an inclined plane with a free surface
type: Item
instance of: scholarly article
title: The flow of a variable viscosity fluid down an inclined plane with a free surface
zbMATH Open document ID: 1299.76016
DOI: 10.1155/2013/754782
author: M. S. Tshehla
published in: Mathematical Problems in Engineering
publication date: 2014-11-24T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76A20
zbMATH DE Number: 6372633
Wikidata QID: Q59028988
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/754782
OpenAlex ID: W2156402910
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description: scientific article; zbMATH DE number 6372633