C. Kleinstreuer et H. Chiang, CONVECTION HEAT-TRANSFER OF CLOSELY-SPACED SPHERES WITH SURFACE BLOWING, Warme- und Stoffubertragung, 28(5), 1993, pp. 285-293
A validated computer simulation model has been developed for the analy
sis of colinear spheres in a heated gas stream. Using the Galerkin fin
ite element method, the steady-state Navier-Stokes and heat transfer e
quations have been solved describing laminar axisymmetric thermal flow
past closely-spaced monodisperse spheres with fluid injection. Of int
erest are the coupled nonlinear interaction effects on the temperature
fields and ultimately on the Nusselt number of each sphere for differ
ent free stream Reynolds numbers (20 less-than-or-equal-to Re less-tha
n-or-equal-to 200) and intersphere distances (1.5 less-than-or-equal-t
o d(ij) less-than or equal-to 6.0) in the presence of surface blowing
(0 less-than-or-equal-to v(b) less-than-or-equal-to 0.1). Fluid inject
ion (i.e. blowing) and associated wake effects generate lower average
heat transfer coefficients for each interacting sphere when the Reynol
ds number increases (Re > 100). Heat transfer is also reduced at small
spacings especially for the second and third sphere. A Nusselt number
correlation for each interacting (porous) sphere has been developed b
ased on computer experiments.