Mi. Char et Cl. Chang, LAMINAR FREE-CONVECTION FLOW OF MICROPOLAR FLUIDS FROM A CURVED SURFACE, Journal of physics. D, Applied physics, 28(7), 1995, pp. 1324-1331
The laminar free convection flow of a micropolar fluid past an arbitra
ry curved surface has been analysed by using the cubic spline collocat
ion numerical method. It is found that the flow field admits similarit
y solutions when the power functions for the stream-wise variations of
the wall temperature m and the body shape configurations n are consta
nts, and the sum of them is equal to unity. The solutions for the flow
and heat transfer characteristics are evaluated numerically for diffe
rent parameters, such as the body shape parameter n, the vortex viscos
ity parameter N-1, the spin-gradient viscosity parameter N-3 and the P
randtl number Pr. Results show that the heat transfer rate increases a
s the body shape parameter n or the parameter N-1 decreases and the Pr
andtl number increases. The skin friction factor increases as the valu
e of N-1 decreases. In addition, an increase in the parameter N-3 lead
s to an increase of the angular velocity boundary layer thickness. The
model may solve industrial problems with processing of polymeric liqu
ids, lubricants and molten plastics.