The following Churchill and Chu correlation is applicable for a vertical plate in rest environment (no forced convection). The formula is picked from the ASHRAE guide chapter 3 table 10 equations T10.3
The correlations is given for a Rayleigh number 109 < Ra < 1012. A other correlation is suitable for 10-1 < Ra < 109 with the equation T10.2 but the connection at Ra = 109 between the correlation is too discontinuous. Therefore the correlation T10.3 is extended to range 10-1 < Ra < 109.
Where :
function vertical_plate_ASHRAE extends Modelica.Icons.Function; input Modelica.SIunits.PrandtlNumber Pr; input Modelica.SIunits.RayleighNumber Ra; output Modelica.SIunits.NusseltNumber Nu; end vertical_plate_ASHRAE;