Abstract
In this investigation the thermal equilibrium between air as the gas phase and water as the liquid phase is studied when a bubbly mixture flows between a heated inner cylinder and an insulated outer cylinder. It was concluded that the equilibrium condition is a function of the axial distance, the gas and liquid fluxes, and the distribution of voids in the continuous medium. Furthermore, the augmentation ratio was assessed for the conditions of thermal equilibrium, and compared with their equivalent in the cylinder case.
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Abbreviations
- C :
-
specific heat at constant pressure
- D∈ :
-
equivalent diameter
- H :
-
Augmentation ratio=h T.P /h L
- h :
-
heat transfer coefficient
- j :
-
volumetric flux
- m :
-
mass flow rate
- Q :
-
Rate of heat transfer
- q :
-
heat flux
- T :
-
temperature
- X :
-
quality of two phase mixture
- Z :
-
axial distance
- θ :
-
degree of non equilibrium
- ξ :
-
dimensionless axial distance=z/D e
- λ:
-
perforation ratio=Area of holes/cross section area of the annulus
- b:
-
bulk
- g:
-
gas
- i:
-
inlet
- L:
-
Liquid
- o:
-
outlet
- av:
-
average
- S.P:
-
single phase
- T.P:
-
two phase
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Sorour, M.M., Madi, M.B. & El-Beshbeeshy, M.S. Thermal equilibrium of two phase gas liquid bubbly flow in a vertical heated annulus. Appl. Sci. Res. 42, 319–331 (1985). https://doi.org/10.1007/BF00384210
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DOI: https://doi.org/10.1007/BF00384210