kc_turbulent |
This information is part of the Modelica Standard Library maintained by the Modelica Association.
Calculation of the mean convective heat transfer coefficient kc for a hydrodynamically developed turbulent fluid flow over an even surface.
There are basically three differences:
The mean convective heat transfer coefficient kc for flat plate is calculated through the corresponding Nusselt number Nu_turb according to [VDI 2002, p. Gd 1, eq. 2]:
Nu_turb = (0.037 * Re^0.8 * Pr) / (1 + 2.443/Re^0.1 * (Pr^(2/3)-1))
and the corresponding mean convective heat transfer coefficient kc:
kc = Nu_turb * lambda / L
with
cp | as specific heat capacity at constant pressure [J/(kg.K)], |
eta | as dynamic viscosity of fluid [Pa.s], |
kc | as mean convective heat transfer coefficient [W/(m2.K)], |
lambda | as heat conductivity of fluid [W/(m.K)], |
L | as length of plate [m], |
Nu_turb | as mean Nusselt number for turbulent regime [-], |
Pr = eta*cp/lambda | as Prandtl number [-], |
rho | as fluid density [kg/m3], |
Re = v*rho*L/eta | as Reynolds number [-]. |
The mean Nusselt number in turbulent regime Nu representing the mean convective heat transfer coefficient kc for Prandtl numbers of different fluids is shown in the figure below.