Abstract
The problem of energy transfer in a thermally developing, radiating and conducting medium is studied. In particular, laminar flow of carbon monoxide is considered although the results may be interpreted more generally as referring to any infra red radiating diatomic gas. The effects of radiation and conduction on the temperature profile and the Nusselt number are presented for slug flow and for the parabolic velocity distribution.
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Abbreviations
- a :
-
constant equal to 0.9
- A :
-
total band absorptance
- A′ :
-
derivative of the total band absorptance
- A 0 :
-
correlation constant
- b :
-
constant equal to 1.8
- C 0,w :
-
correlation constant
- c p :
-
specific heat at constant pressure
- D h :
-
hydraulic diameter, 2H
- e w :
-
Planck's function
- e ww :
-
Planck's function evaluated at the wall
- e ww, e :
-
Planck's function evaluated at the wall at the band center
- H :
-
plate spacing
- k :
-
thermal conductivity
- K w :
-
spectral absorption coefficient
- k p, w :
-
Planck coefficient evaluated at the wall
- p :
-
pressure
- Pr :
-
Prandtl number μc p /k
- q R :
-
radiation heat flux
- Re :
-
Reynolds number, V b D h ρ/μ
- T :
-
temperature
- T + :
-
dimensionless temperature
- u :
-
axial velocity
- u + :
-
dimensionless axial velocity
- v :
-
independent variable
- V b :
-
bulk velocity
- x :
-
axial coordinate
- x + :
-
dimensionless axial coordinate
- y :
-
transverse coordinate
- y + :
-
dimensionless transverse coordinate
- z :
-
dummy variable
- ρ :
-
density
- σ :
-
Stefan-Boltzmann constant
- μ :
-
absolute viscosity
- ω :
-
wave number
References
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On leave from the University of California, Berkeley.
On leave from the University of Arizona, Tucson.
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Greif, R., McEligot, D.M. Thermally developing laminar flows with radiative interaction using the total band absorptance model. Appl. Sci. Res. 25, 234–244 (1972). https://doi.org/10.1007/BF00382298
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DOI: https://doi.org/10.1007/BF00382298