WOLFRAM SYSTEM MODELER
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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
|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.