Flow of a Newtonian fluid in a symmetrically heated channel: Effect of viscosity and viscous dissipation

K. S. Adegbie and F. I. Alao

Mathematical Problems in Engineering, 2006, vol. 2006, 1-7

Abstract:

This paper discusses the effect of viscosity and viscousdissipation (due to a high velocity gradient) on the steady flowof a viscous liquid in a symmetrically heated channel. The couplednonlinear differential equations arising in the planar Poiseuilleflow are not amendable to analytical solutions. Therefore,numerical solutions based on finite-difference scheme arepresented. The effects of various flow controlling parameters suchas temperature difference α , dimensionless pressuregradient, and the dimensionless viscous heating parameter δ on the dimensionless velocity and temperature are analyzed. Theanalysis reveals that when viscous heating parameter δ = 0 , we obtained zero solution for the dimensionless temperature.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:029314

DOI: 10.1155/MPE/2006/29314

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