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External_Flow_VerticalPlate_ND

 

 

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

 

Inputs:

Re - Reynolds 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.  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 temperature.

 

References:

  Jakob (1949) and White (2003)

 

Example:

Call external_flow_verticalplate_nd(Re,Pr: Nusselt,C_d)

Re=10000 [-]

Pr=0.7 [-]

{Solution:  

C_d=2 

Nusselt=169.9 

}

 

 

External Flow Index