Calculation of the mean convective heat transfer coefficient
kc for a laminar or turbulent fluid flow over an
even surface.
Functions kc_overall and
kc_overall_KC
There are basically three differences:
- The function kc_overall is using
kc_overall_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_overall_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_overall_KC, where an unknown mass flow rate is
calculated out of a given mean convective heat transfer coefficient
kc
Restriction
- constant wall temperature
- overall regime (Reynolds number 1e1 < Re < 1e7)
- Prandtl number 0.6 ≤ Pr ≤ 2000
Geometry and Calculation
This heat transfer function enables a calculation of heat
transfer coefficient for laminar and turbulent flow regime. The
geometry, constant and fluid parameters of the function are the
same as for
kc_laminar and
kc_turbulent.
The calculation conditions for laminar and turbulent flow is
equal to the calculation in kc_laminar and
kc_turbulent. A smooth transition between both
functions is carried out between 1e5 ≤ Re ≤ 5e5 (see figure
below).
Verification
The mean Nusselt number Nu = sqrt(Nu_lam^2 +
Nu_turb^2) representing the mean convective heat transfer
coefficient kc for Prandtl numbers of different
fluids is shown in the figure below.
References
- VDI:
- VDI - Wärmeatlas: Berechnungsblätter für den
Wärmeübergang. Springer Verlag, 9th edition, 2002.
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