Wm. Yan, TRANSPORT PHENOMENA OF DEVELOPING LAMINAR MIXED CONVECTION HEAT AND MASS-TRANSFER IN INCLINED RECTANGULAR DUCTS, International journal of heat and mass transfer, 38(15), 1995, pp. 2905-2914
The developing laminar mixed convection heat and mass transfer in incl
ined rectangular ducts has been studied numerically, with six independ
ent parameters: Prandtl number Pr, mixed convection parameter Omega, m
odified Rayleigh number Ra, buoyancy ratio N, Schmidt number Sc and a
spect ratio gamma. Typical developments of velocity, temperature and c
oncentration profiles are shown to include the limiting cases of horiz
ontal and vertical rectangular duels. Local friction factor, Nusselt n
umber and Sherwood number are presented for species diffusion of inter
est in air (Pr = 0.7) over a Schmidt number range of 0.2-2.0. The resu
lts show that the Nu(Sh) is characterized by a decay near the inlet du
e to the entrance effect; but the decay is attenuated by the onset of
buoyancy-driven secondary flows. The Nu (Sh) falls asymptotically to t
he value of Graetz problem when the temperature (concentration) profil
e becomes fully developed. The fRe/(fRe)(0), Nu and Sh are enhanced as
the buoyancy force from species diffusion assists the thermal buoyanc
y force.