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External_Flow_Hexagon1_ND

 

 

Procedure External_Flow_Hexagon1_ND(Re,Pr: Nusselt,C_f) returns the average Nusselt number and friction coefficient for flow past a infinitely long hexagon-shaped rod with the flat-edge perpendicular to the flow, as shown.

 

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 rod

u_f is the velocity of the flow

 

Pr - Prandtl number [-], where

where 

c_p 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 described in Table 4-7 of Nellis and Klein.  The correlation for the drag coefficient is valid for Re>1E4.

 

The Reynolds and Prandtl number. 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) and White (2003)

 

Example

call External_Flow_Hexagon1_ND(Re,Pr: Nusselt,C_d)

Re=10000 [-]

Pr=0.7 [-]

 

{Solution:  Nusselt=66.76 [-],  C_d=0.7} 

 

External Flow Index