Abstract
One of the interesting subjects in reactor design is about the condensate flow. In this investigation, turbulent film condensation on a horizontal elliptical tube is investigated using volume of fluid (VOF) method. Heat transfer after the separation point is considered. The turbulence model incorporated in this investigation is the realizable k-epsilon model. The results for circular tube are compared to that of other investigations available in the literatures. It is observed that an amount of approximately 11% decrease in the overall Nusselt number will happen for the elliptical tube with respect to a circular tube of the same area and the same approach velocity.
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Abbreviations
- a :
-
ellipse semi-major axis length
- A :
-
non dimensional number (Pr/Fr.Ja)
- b :
-
ellipse semi-minor axis length
- C f :
-
friction coefficient
- C P :
-
specific heat
- D :
-
effective diameter = 14 mm
- E :
-
energy
- Fr :
-
Froude number \(\left(\frac{Uo^2}{2.r.g}\right)\)
- g :
-
force of gravity
- h fg :
-
latent heat
- Ja :
-
Jakob number \(\frac{C_{p}\Delta T}{h_{fg}}\)
- k :
-
eccentricity (b/a)
- K eff :
-
thermal conductivity
- K :
-
turbulent kinetic energy
- M :
-
mass
- Nu :
-
Nusselt number
- P :
-
absolute pressure
- Pr :
-
Prandtl number \(\left(\frac{\mu_{L}.\varepsilon_{p}}{K_{\rm eff}}\right)\)
- q :
-
heat transfer
- T :
-
temperature
- \(U_{\mathring{}}\) :
-
vapor free stream velocity
- \(\overrightarrow{V}\) :
-
velocity vector
- x,y :
-
ellipse Cartesian
- Greek symbols:
-
- α:
-
Volume fraction
- δ:
-
condensate film thickness
- ɛ:
-
dissipation energy
- μ:
-
dynamic viscosity
- ρ:
-
density
- φ:
-
angle, Figure 1
- Subscripts:
-
- L:
-
liquid
- t:
-
turbulent
- v:
-
vapor
- Superscripts:
-
- ′:
-
fluctuation
- .:
-
rate
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Aghanajafi, C., Hesampour, K. Heat Transfer Analysis of a Condensate Flow by VOF Method. J Fusion Energ 25, 219–223 (2006). https://doi.org/10.1007/s10894-006-9025-6
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DOI: https://doi.org/10.1007/s10894-006-9025-6