Flow of a Newtonian fluid in a symmetrically heated channel: Effect of viscosity and viscous dissipation
This paper discusses the effect of viscosity and viscous dissipation (due to a high velocity gradient) on the steady flow of a viscous liquid in a symmetrically heated channel. The coupled nonlinear differential equations arising in the planar Poiseuille flow are not amendable to analytical solution...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2006-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/MPE/2006/29314 |
| Summary: | This paper discusses the effect of viscosity and viscous
dissipation (due to a high velocity gradient) on the steady flow
of a viscous liquid in a symmetrically heated channel. The coupled
nonlinear differential equations arising in the planar Poiseuille
flow are not amendable to analytical solutions. Therefore,
numerical solutions based on finite-difference scheme are
presented. The effects of various flow controlling parameters such
as temperature difference α, dimensionless pressure
gradient, and the dimensionless viscous heating parameter δ on the dimensionless velocity and temperature are analyzed. The
analysis reveals that when viscous heating parameter δ=0, we obtained zero solution for the dimensionless temperature. |
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| ISSN: | 1024-123X 1563-5147 |