RT Journal Article
SR 00
A1 Kurdyumov, V.
A1 Liñán Martínez, Amable
T1 Free convection from a point source of heat, and heat transfer from spheres at small Grashof numbers
JF International Journal of Heat and Mass Transfer
YR 1999
FD 1999
VO 42
IS 20
SP 3849
OP 3860
K1 Heat conduction; Heat transfer; Heating; Laminar flow; Nusselt number; Prandtl number; Spheres; Grashof numbers; Laminar flow Nusselt number; Natural convection; convection; particle; sphere
AB A numerical description, based on the Boussinesq equations, is given for the steady free convection ¯ow due to a point source of heat and heated spheres. We begin with the non-dimensional formulation of the problem for the point source giving the numerical solution for a wide range of values of the Prandtl number, the remaining parameter. The analytical description of the temperature and ¯ow ®elds close to the point source includes constants that are evaluated numerically and are used to obtain the ¯ow ®eld around heated spheres for small Grashof numbers, and the correction of the Nusselt number, due to free convection, from its heat conduction value. The numerical solution of the free convection problem over a sphere at moderate and small Grashof numbers is carried out for Pr=0.72 and 7. Based on the small and large Grashof number descriptions, a correlation expression is proposed for the laminar ¯ow Nusselt number, covering all Grashof numbers.
SN 0017-9310
LK http://oa.upm.es/877/
UL http://www.elsevier.com/locate/ijhmt