Regular expansion solutions for small Peclet number heat or mass transfer in concentrated two-phase particulate systems
Abstract
Steady state heat or mass transfer in concentrated ensembles of drops, bubbles or solid spheres in uniform, slow viscous motion, is investigated. Convective effects at small Peclet numbers are taken into account by expanding the nondimensional temperature or concentration in powers of the Peclet number. Uniformly valid solutions are obtained, which reflect the effects of dispersed phase content and rate of internal circulation within the fluid particles. The dependence of the range of Peclet and Reynolds numbers, for which regular expansions are valid, on particle concentration is discussed.
- Publication:
-
Heat transfer 1974; Proceedings of the Fifth International Conference, Tokyo, Volume 2
- Pub Date:
- 1974
- Bibcode:
- 1974hetr....2..208Y
- Keywords:
-
- Convective Heat Transfer;
- Mass Transfer;
- Peclet Number;
- Power Series;
- Two Phase Flow;
- Binary Fluids;
- Boundary Value Problems;
- Bubbles;
- Cavitation Flow;
- Particle Density (Concentration);
- Reynolds Number;
- Uniform Flow;
- Viscous Flow;
- Fluid Mechanics and Heat Transfer