Kumaran, V (1998) Effect of convective transport on droplet spinodal decomposition in fluids. In: Journal of Chemical Physics, 109 (6). pp. 2437-2441.
![]() |
PDF
Effect_of_convective-30.pdf Restricted to Registered users only Download (140kB) | Request a copy |
Abstract
The effect of convective transport on the late stage growth of droplets in the presence of sedimentation and shear flow is analyzed. The high Peclet number limit (UR/D)$\gg$1 is considered, where U is the characteristic velocity, R is the radius of the droplet, and D is the diffusion coefficient. The growth of the droplet depends on the boundary condition for the fluid velocity at the droplet interface, and two types of boundary conditions are considered. For a rigid interface, which corresponds to the interface between a solid and a fluid, the tangential velocity is zero and the normal velocity is equal to the velocity of the surface. For a mobile interface, which corresponds to an interface between two fluids, the tangential and normal velocities are continuous. These results indicate that the scaling relations for the critical radius are $R_c(t)\alpha t^{(1/2)}$ for a sedimenting droplet with a rigid interface, $R_c(t)\alpha t^{(2/3)}$ for a sedimenting droplet with a mobile interface, $R_c(t)\alpha t^{(3/7)}$ for a droplet with a rigid interface in a simple shear flow, and $R_c(t)\alpha t^{(1/2)}$ for a droplet with a mobile interface in a simple shear flow. The rate of droplet growth is enhanced by a factor of $P_e^{(1/3)}$ for rigid interfaces and $P_e^{(1/2)}$ for mobile interfaces.
Item Type: | Journal Article |
---|---|
Publication: | Journal of Chemical Physics |
Publisher: | AIP |
Additional Information: | Copyright of this article belongs to The American Institute of Physics. |
Department/Centre: | Division of Mechanical Sciences > Chemical Engineering |
Date Deposited: | 27 Nov 2006 |
Last Modified: | 19 Sep 2010 04:32 |
URI: | http://eprints.iisc.ac.in/id/eprint/8973 |
Actions (login required)
![]() |
View Item |