Ma. Hossain et al., EFFECT OF THERMAL-RADIATION ON NATURAL-CONVECTION OVER CYLINDERS OF ELLIPTIC CROSS-SECTION, Acta mechanica, 129(3-4), 1998, pp. 177-186
The effect of conduction-radiation on natural convection flow of an op
tically dense viscous incompressible fluid along an isothermal cylinde
r of elliptic cross section has been investigated. The boundary layer
equations governing the flow are shown to be nonsimilar. Full numerica
l solutions of the governing equations are obtained using the implicit
finite difference method. The solutions are expressed in terms of the
Nusselt number Nu against the eccentric angle alpha in the range [0,
pi]. The working fluid is taken to have unit value of the Prandtl numb
er, Pr, and the effects of varying the Planck number, R-d, the surface
temperature parameter, theta(w), and the parameter A(0) representing
the ratio of the major and minor axes of the cylinder are investigated
. From the present analysis it is found that the rate of heat transfer
from the slender body is higher than from the blunt body and that the
se higher values become even higher due to an increase in the effect o
f radiation in the flow field.