On the Oberbeck–Boussinesq approximation for fluids with pressure dependent viscosities Academic Article uri icon


  • 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. © 2007 Elsevier Ltd. All rights reserved.

author list (cited authors)

  • Rajagopal, K. R., Saccomandi, G., & Vergori, L.

citation count

  • 50

publication date

  • April 2009