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TECHNICAL PAPERS: Forced Convection

A Numerical Investigation of the Heat Transfer in a Parallel Plate Channel With Piecewise Constant Wall Temperature Boundary Conditions

[+] Author and Article Information
B. Weigand

Universität Stuttgart, Institut für Thermodynamik der Luft- und Raumfahrt, Pfaffenwaldring 31, 70569 Stuttgart, Germany

T. Schwartzkopff

Universität Stuttgart, Institut für Aerodynamik und Gasdynamik, Pfaffenwaldring 21, 70569 Stuttgart, Germany

T. P. Sommer

ALSTOM Power Generation Ltd, 5401 Baden, Switzerland

J. Heat Transfer 124(4), 626-634 (Jul 16, 2002) (9 pages) doi:10.1115/1.1482085 History: Received July 10, 2001; Revised March 14, 2002; Online July 16, 2002
Copyright © 2002 by ASME
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References

Figures

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Geometry and coordinate system
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Comparison of the numerically obtained fluid temperature at ỹ=0 with the analytical solution for a laminar flow. Grid: 257×65 points. Heating: half infinite.
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Comparison of the numerically obtained fluid temperature Θ+(y+) with the formula given by Kader 9 for ReD=13000,Pr=0.025 and Reτ=206.8. Resolution of the grid used in the computation 2049×257.
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Comparison of numerically calculated and analytical Nusselt number for turbulent flow. Constant Prandtl number Pr=0.72. Grid 513×65. Heating: half infinite.
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Comparison of numerically calculated and analytical Nusselt number for turbulent flow. Constant Reynolds number ReD=5000. Grid 513×65. Heating: half infinite.
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Comparison of a numerical calculated local Nusselt number for laminar flow on different grids with an analytical solution at x/(hPeh)>0 (top) and x/(hPeh)<0 (bottom) for PeD=4. Heating: half infinite.
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Example of a grid used for the computation for a half infinite heated zone. Temperature jump at x̃=0.0. Resolution: 257×65 points.
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Influence of the length of the heated zone on the Nusselt Number. PeD=400,Pr=0.01, grid 1025×129. Top: Δxheat/DPeD=0.00625, bottom: Δxheat/DPeD=0.0625.
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Dimensionless temperature gradient at the wall for Δxheat/DPeD=0.00625,PeD=400,Pr=0.01 and a grid 1025×129.
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Dimensionless wall temperature Θw and bulk temperature Θm for Δxheat/DPeD=0.00625,PeD=400,Pr=0.01 and a grid 1025×129.
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Influence of the Pe number on the Nu number for a heated duct with a finite heated zone. ReD=40000, grid 1025×129 (Δxheat/DPeD)=0.025. Top: PeD=40, bottom: PeD=4000.
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Region where the flow is hyperbolic as a function of PeD for the EAHF model. ReD=40000,jmax=513.

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