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External_Flow_VerticalPlate_ND

 

 

Procedure External_Flow_VerticalPlate_ND(Re,Pr: Nusselt,C_f) returns the average Nusselt number and friction coefficient for flow past a infinitely long vertical plate of height W.

 

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 plate

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 4E3<Re<1.5E4 as described in .  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 temperature.

 

References:

  Jakob (1949) and White (2003)

 

Example

call External_Flow_VerticalPlate_ND(Re,Pr: Nusselt,C_D)

Re=10000 [-]

Pr=0.7 [-]

 

{Solution:   Nusselt=169.9 [-],C_D=2.0}

 

External Flow Index