Sk. Gupte et al., ROLE OF MICRO-CONVECTION DUE TO NON-AFFINE MOTION OF PARTICLES IN A MONO-DISPERSE SUSPENSION, International journal of heat and mass transfer, 38(16), 1995, pp. 2945-2958
Non-affine translation of suspended particles in a flowing suspension
causes micro-convection of the fluid in the vicinity of the particle w
hich affects the local transport mechanisms in the suspension. To inve
stigate the importance of micro-convection on heat transport, a unit c
ell approach is adopted. A parametric study investigates the influence
of particle fall velocity in a quiescent fluid and particle volume fr
action on micro-convection in a sedimenting suspension. The thermal fl
ux across the unit cell is shown to be a function of modified Peclet n
umber that includes the influence of Volume fraction for the range of
volume fractions (O < epsilon < 0.3) and for Pe similar to 0(1). This
is used to investigate the influence of hindered settling on transport
processes such as heat transfer occurring in a sedimenting suspension
.