Buoyancy effects on heat, mass and momentum transfer during the melting of a horizontal ice sheet above fresh or saline water flowing at laminar Reynolds numbers

Srivastava, Pradeep Kumar (1979) Buoyancy effects on heat, mass and momentum transfer during the melting of a horizontal ice sheet above fresh or saline water flowing at laminar Reynolds numbers. Masters thesis, Memorial University of Newfoundland.

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Abstract

A finite difference steady state two-dimensional analysis is made for the combined convection heat, mass and momentum transfer phenomena for pure or saline (Sₒₒ = 5‰ and 35‰) water flowing at laminar Reynolds numbers below a semi-infinite horizontal melting sheet of pure ice. All fluid properties, except density in the body forces terms of the momentum equation, are assumed to be constant. -- For the fresh water case, a 51 by 21 grid is used for the computer analysis and downstream boundary conditions are applied at a distance of 1.731 m from the leading edge. For Sₒₒ = 5‰ and 35‰ 52 by 52 and 68 by 65 grids are used respectively and downstream boundary conditions are applied at a distance of 1.021 m. The results of the analysts are presented for free stream velocities of 0.025, 0.02, 0.015 and 0.01 m/s and free stream temperatures ranging from 2ﾟC to 20ﾟC. Results obtained with the present analysis are compared with the forced convection case. -- For fresh water, the streamlines resulting from the present analysis are closer to the ice sheet than is found for forced convection, but the heat transfer to the ice sheet is lowered. For saline water, the streamlines are shifted further away from the ice sheet for combined convection than for forced convection and the local heat transfer rates are lowered. The solution method is not convergent for conditions when the buoyancy terms become large.

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