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

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  • K. S. Adegbie
  • F. I. Alao

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.

Suggested Citation

  • K. S. Adegbie & F. I. Alao, 2006. "Flow of a Newtonian fluid in a symmetrically heated channel: Effect of viscosity and viscous dissipation," Mathematical Problems in Engineering, Hindawi, vol. 2006, pages 1-7, April.
    • Handle: RePEc:hin:jnlmpe:029314
    DOI: 10.1155/MPE/2006/29314
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