Nonisothermal channel flow of a non-newtonian fluid with viscous heating

Pinarbasi A. , Imal M.

International Communications in Heat and Mass Transfer, vol.29, no.8, pp.1099-1107, 2002 (Journal Indexed in SCI Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 8
  • Publication Date: 2002
  • Doi Number: 10.1016/s0735-1933(02)00438-4
  • Title of Journal : International Communications in Heat and Mass Transfer
  • Page Numbers: pp.1099-1107


This study investigates the pressure gradient-flow rate relationship for steady-state nonisothermal pressure-driven flow of a non-Newtonian fluid in a channel including the effect of viscous heating. The viscosity of the fluid depends on both temperature and shear-rate. Exponential dependence of viscosity on temperature is modeled through Arrhenius law. Non-Newtonian behaviour of the fluid is modeled according to the Carreau rheological equation. Flow governing motion and energy balance equations are coupled and the solution of this non-linear boundary value problem is found iteratively using a pseudospectral method based on Chebyshev polynomials. The effect of activation energy parameter and Brinkman number, as well as the power-law index and material time constant on the flow is studied. It is found that while the pressure gradient-flow rate graph is monotonic for certain ranges of flow controlling parameters, there is a large jump in the graph under certain values of these parameters. © 2002 Elsevier Science Ltd.