Page 75 - Introduction to Computational Fluid Dynamics

P1: IWV/ICD
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10:49
CB908/Date
0521853265c02
54
1D HEAT CONDUCTION
where n may be greater or less than 1. For n = 1, a Newtonian fluid is retrieved.
Compare the computed velocity profile with the exact solution
u 2n + 1 (n+1)/n
y
= 1 − ,
u n + 1 b
where y is measured from the symmetry axis.
31. In Exercise 30 consider fully developed heat transfer under an axially constant
wall heat flux condition. Compare your computed result for this case with
hD h (4n + 1)(5n + 2)
Nu = = 12 ,
2
k 32n + 17n + 2
where hydraulic diameter D h = 4b.