Heat Transfer Models
The HeatTransferModels
namespace provides various model functions relevant to heat transfer.
Cylindrical Thermal Conductance
The function cylindricalThermalConductance
computes the thermal conductance across a cylindrical medium using a steady thermal resistance analysis (Incropera et al., 2002):
where
is the inner surface radius,
is the outer surface radius,
is the arithmetic mean radius, and
is the medium thermal conductivity.
Cylindrical Gap Conduction Heat Flux
The function cylindricalGapConductionHeatFlux
computes the heat flux at a point across a cylindrical gap due to conduction, using the thermal conductance given in Cylindrical Thermal Conductance:
where
is the inner surface temperature,
is the outer surface temperature, and
is computed from Eq. (1).
Note that the convention here is that a positive heat flux corresponds to heat moving from the inner surface to the outer surface.
Cylindrical Gap Radiation Heat Flux
The function cylindricalGapRadiationHeatFlux
computes heat flux at a point across a cylindrical gap due to radiation, assuming opaque, gray, diffuse surfaces with infinitely long, concentric cylinders (Incropera et al., 2002):
where is the Stefan-Boltzmann constant.
Note that the convention here is that a positive heat flux corresponds to heat moving from the inner surface to the outer surface.
References
- Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine, and others.
Fundamentals of Heat and Mass Transfer.
Wiley New York, sixth edition, 2002.[BibTeX]