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