Calculation of the mean convective heat transfer coefficient
kc for the air-side heat transfer of heat
exchangers with round tubes and several fin geometries.
Functions kc_roundTube and
kc_roundTube_KC
There are basically three differences:
- The function kc_roundTube is using
kc_roundTube_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_roundTube_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_roundTube_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 300 to 8000.
- 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 * Pr^(1/3) * lambda / D_c
with
D_c |
as fin collar diameter [m], |
kc |
as mean convective heat transfer coefficient [W/(m2K)], |
lambda |
as heat conductivity of fluid [W/(mK)], |
Nu = kc*D_c/lambda |
as mean Nusselt number [-], |
Pr = eta*cp/lambda |
as Prandtl number [-], |
Re = rho*v*D_c/eta |
as Reynolds number [-], |
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
- C.-C. Wang, C.-T. Chang:
- Heat and mass transfer for plate fin-and-tube heat
exchangers, with and without hydrophilic coating. In
International Journal of Heat and Mass Transfer, volume 41, pages
3109-3120, 1998.
- C.-C. Wang, C.-J. Lee, C.-T. Chang, S.-P. Lina:
- Heat transfer and friction correlation for compact
louvered fin-and-tube heat exchangers. In International
Journal of Heat and Mass Transfer, volume 42, pages 1945-1956,
1999.
- C.-C. Wang, W.-H. Tao, C.-J. Chang:
- An investigation of the airside performance of the slit
fin-and-tube heat exchangers. In International Journal of
Refrigeration, volume 22, pages 595-603, 1999.
- C.-C. Wang, W.-L. Fu, C.-T. Chang:
- Heat Transfer and Friction Characteristics of Typical
Wavy Fin-and-Tube Heat Exchangers. In Experimental Thermal
and Fluid Science, volume 14, pages 174-186, 1997.
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