External_Flow_Plate_ND
Procedure External_Flow_Plate_ND(Re,Pr: Nusselt,C_f) returns the average Nusselt number and friction coefficient for flow parallel to a flat plate.
Inputs:
Re - Reynold's number [-], where
where
r is the density of the fluid
m is the viscosity of the fluid
L is the length of the plate
u_infinity 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 wall temperature[-]. The Nusselt number is defined:
where
h is the average heat transfer coefficient
C_f - average friction coefficient [-]. The friction coefficient is defined:
where
t is the average shear stress
Notes
This procedure is called by External_Flow_Plate to calculate the Nusselt number and average shear stress. The procedure uses the correlations for average C_f and average Nusselt number provided by Nellis and Klein (2018).
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.
Note that the procedure External_Flow_Plate_L_ND provides the same functionality but uses the more accurate correlations described by Lienhard (2020) that include the impact of the transition region.
Example:
Re=1e6
Pr=0.7
Call external_flow_plate_nd(Re,Pr: Nusselt_bar,C_f_bar)
{Solution:
C_f_bar=0.0029
Nusselt_bar=1283
}