On the Oberbeck–Boussinesq approximation for fluids with pressure dependent viscosities

Rajagopal, K.R., Saccomandi, G. and Vergori, L. (2009) On the Oberbeck–Boussinesq approximation for fluids with pressure dependent viscosities. Nonlinear Analysis: Real World Applications, 10(2), pp. 1139-1150. (doi: 10.1016/j.nonrwa.2007.12.003)

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Publisher's URL: http://dx.doi.org/10.1016/j.nonrwa.2007.12.003

Abstract

We derive, by using a rigorous perturbative approach, the Oberbeck–Boussinesq approximation within the framework of one of the simplest implicit constitutive theories: that of fluids with pressure dependent viscosity. To illustrate an application we use the equations derived here to study the flow of a fluid in a channel with heated walls.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Vergori, Dr Luigi
Authors: Rajagopal, K.R., Saccomandi, G., and Vergori, L.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Nonlinear Analysis: Real World Applications
Publisher:Elsevier
ISSN:1468-1218
ISSN (Online):1878-5719

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