Calculation of the mean convective heat transfer coefficient
kc for the air-side heat transfer of heat
exchangers with flat tubes and several fin geometries.
Functions kc_flatTube and
kc_flatTube_KC
There are basically three differences:
- The function kc_flatTube is using
kc_flatTube_KC but offers additional output
variables like e.g. Reynolds number or Nusselt number and failure
status (an output of 1 means that the function is
not valid for the inputs).
- Generally the function kc_flatTube_KC is
numerically best used for the calculation of the mean convective
heat transfer coefficient kc at known mass flow
rate.
- You can perform an inverse calculation from
kc_flatTube_KC, where an unknown mass flow rate is
calculated out of a given mean convective heat transfer coefficient
kc
Restriction
- According to the kind of fin geometry the calculation is valid
in a range of Re from 100 to 5000.
- medium = air
Geometry
Calculation
The mean convective heat transfer coefficient
kc for heat exchanger is calculated through the
corresponding Coulburn factor j:
j = f(geometry, Re)
with the resulting mean convective heat transfer coefficient
kc
kc = j * Re_L_p * Pr^(1/3) * lambda / L_p (Louver fin)
or
kc = j * Re_D_h * Pr^(1/3) * lambda / D_h (Rectangular offset strip fin)
with
D_h |
as hydraulic diameter [m], |
kc |
as mean convective heat transfer coefficient [W/(m2K)], |
lambda |
as heat conductivity of fluid [W/(mK)], |
L_p |
as louver pitch [m], |
Nu_D_h = kc*D_h/lambda |
as mean Nusselt number based on hydraulic diameter [-], |
Nu_L_p = kc*L_p/lambda |
as mean Nusselt number based on louver pitch [-], |
Pr = eta*cp/lambda |
as Prandtl number [-], |
Re_D_h = rho*v*D_h/eta |
as Reynolds number based on hydraulic diameter [-], |
Re_L_p = rho*v*L_p/eta |
as Reynolds number based on louver pitch [-], |
Verification
The mean Nusselt number Nu representing the
mean convective heat transfer coefficient kc is
shown below for different fin geometries at similar dimensions.
References
- Y.-J. CHANG and C.-C. WANG:
- A generalized heat transfer correlation for louver fin
geometry. In International Journal of Heat and Mass
Transfer, volume 40, No. 3, pages 533-544, 1997.
- Y.-J. CHANG and C.-C. WANG:
- Air Side Performance of Brazed Aluminium Heat
Exchangers. In Journal of Enhanced Heat Transfer, volume
3, No. 1, pages 15-28, 1996.
- R.-M. Manglik, A.-E. Bergles:
- Heat Transfer and Pressure Drop Correlations for the
Rectangular Offset Strip Fin Compact Heat Exchanger. In
Experimental Thermal and Fluid Science, volume 10, pages 171-180,
1995.
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