Effect of Buoyancy on Laminar Developing Flow Between Parallel Plates

概要

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This paper is intended to theoretically describe the effects of buoyancy due to density difference on a laminar developing flow in the entrance region of a horizontal parallel-plate channel with a constant temperature. The analysis is performed within the framework of the boundary layer theory, and the governing equations are numerically solved by a finite-difference method for a Prandtl number of 0.72. The main items obtainable from the present analysis are: (1) The effects of buoyancy on the velocity and temperature distributions in the entrance region are clarified in detail. (2) The additional pressure drop in the entrance region is increased by a few percent due to buoyancy. (3) The entrance length defined as the axial distance where the velocity at the mid-section of the channel attains 99% of its fully developed value is not affected by buoyancy. (4) The analytical distributions of local and mean heat transfer rates at the channel walls indicate that an omission of the effects of buoyancy will result in an overestimate of overall heat transfer between the channel walls and the fluid by a few percent.
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