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Analysis of Convection Correlations for a Cylinder in Laminar Cross Flow
Dan Karpowitz, Jon Day, Ryan Blanchard
Fluent was used to measure the heat transfer characteristics.
Provided data to compare with analytical correlations.
TS = 400 K ; T∞ = 200K
Using theoretical values the Nusselt number was calculated.
Churchill-Bernstein: Average Error 12.75%
Hilbert: Average Error 9.98%
Expected error near the ±10% range given in textbook.
Comparison of Cd was also made for Fluent and theoretical.
Drag Coefficient vs. Reynold's Number
0
0.5
1
1.5
2
2.5
3
1 10 100 1000 10000 100000
Reynold's Number
Dra
g C
oef
fici
ent
Theoretical
Fluent
Nusselt Number vs. Reynold's Number
0
10
20
30
40
50
60
70
80
10 100 1000 10000 100000
Reynold's Number
Churchill Bernstein
Fluent
Hilbert
Re = 10
Re = 32
Re = 100
Re = 316
Re = 1000
Re = 3162
Re = 1000
Re = 20000
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