External_Flow_Diamond_ND
Procedure External_Flow_Diamond_ND(Re,Pr: Nusselt,C_f) returns the average Nusselt number and friction coefficient for flow past an infinitely long diamond-shaped rod.
Inputs:
Re - Reynold's number [-], where
where
r is the density of the fluid
m is the viscosity of the fluid
W is the height of the diamond shaped rod
u_f is the velocity of the flow
Pr - Prandtl number [-], where
where
cp is the specific heat capacity of the fluid
k is the conductivity
Outputs:
Nusselt - average Nusselt number assuming a constant surface temperature[-]. The Nusselt number is defined:
where h_bar is the average heat transfer coefficient
C_D - average drag coefficient [-]. The friction coefficient is defined in terms of the drag force (F):
Notes
The correlation for Nusselt number is valid for 5E3<Re<1E5 as indicated in Table 4-7 of Nellis and Klein. The correlation for the drag coefficient is valid for Re>1E4.
The Reynolds and Prandtl numbers are based on fluid properties evaluated at the film temperature, which is the average of the free stream and the surface temperatures.
References:
Jakob (1949) , White (2003) and Nellis and Klein (2009)
Example
call External_Flow_Diamond_ND(Re,Pr: Nusselt,C_D)
Re=10000 [-]
Pr=0.7 [-]
{Solution: Nusselt=49.12 [-], C_D=1.6}