An analytical study is performed for condensation heat transfer with q
uiescent or very slow vapor inside a horizontal elliptical tube under
the simultaneous effects of the surface tension forces and gravity for
ces on the condensate film. Analytical solutions for both the local co
ndensate film thickness and heat transfer coefficient have been expres
sed in terms of ellipticity e of the cross-section and the reverse Bon
d numbers. The dimensionless mean heat transfer coefficient-NuBAR for
any ellipticity e and the reverse Bond number have also been obtained
in this study. The results show that the effect of surface tension has
an influence on the local heat transfer coefficient and hydrodynamics
characteristics inside an elliptical tube; however, the effect upon t
he mean heat transfer coefficient is nearly insignificant. For the spe
cial case when e = 0 (circular tube), the reduced results coincide wit
h classical Nusselt-type solutions.