FC_plate_horizontal1_ND
The procedure FC_plate_horizontal1_ND(Ra, Pr: Nusselt) returns the Nusselt number for a heated horizontal upward facing flat plate or a cooled downward facing flat plate given the Rayleigh and Prandtl numbers. The Rayleigh number should be calculated based on the length scale L* which is defined as the ratio of the surface area of the plate to its perimeter
Inputs:
Ra - Rayleigh number based on L* [-]
where
Ra = g*L^3*beta*DT/(nu*alpha)
g = gravity
L* = plate area/perimeter
beta = volumetric thermal expansion coefficient
DT = magnitude of the temperature difference
nu = kinematic viscosity
alpha = thermal diffusivity
Pr - Prandtl number of fluid [-]
Outputs:
Nusselt - average Nusselt number based on plate length [-]
where
Nusselt = h_bar*L*/k
h_bar = average heat transfer coefficient
k = conductivity
Notes:
The procedure FC_plate_horizontal1_ND is based on a compilation of correlations listed in Handbook of Heat Transfer, Third Ed. on pages 4.8-4.19 as described in section 6.2.2 of Nellis and Klein. These correlations include and weight the Nusselt number contributions from the laminar and turbulent boundary layers.
The correlation is valid from 1<Ra<1e10.
Example:
Ra=1.5e6
Pr=0.7
Call FC_plate_horizontal1_ND(Ra, Pr: Nusselt)
{Solution: Nusselt=17.02}