Analytical solutions are derived for steady, fully developed, buoyancy-driven flow in a vertical annular microchannel, of which either the inner or outer wall exhibits superhydrophobic velocity slip and temperature jump and the inner wall is maintained either at constant wall temperature or constant heat flux. For the four possible cases of hydrodynamic and thermal boundary conditions, the flow rate is determined as a function of the core size, slip length, and temperature jump coefficient. Asymptotic limits are obtained for very large slips and temperature jumps. The effects of slips and temperature jumps on the two issues, namely, the optimum core radius for the maximum flow rate and the singular increase of the flow rate for a very small core radius, are investigated in particular.
Natural Convection in a Vertical Microannulus with Superhydrophobic Slip and Temperature Jump
Journal of Thermophysics and Heat Transfer ; 28 , 2 ; 287-294
2014-01-08
8 pages
Article (Journal)
Electronic Resource
English