Creates an important buoyancy term in the momentum equation

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Reference no: EM131313602

In natural-convection problems, the variation of density due to the temperature difference ?T creates an important buoyancy term in the momentum equation. If a warm gas at T_H moves through a gas at temperature T₀ and if the density change is only due to temperature changes, the equation of motion becomes

Show that the ratio of gravity (buoyancy) to inertial forces acting on a fluid element is

1382_Equ 2.jpg

where L and V₀ are reference lengths and velocity, respectively.

Reference no: EM131313602

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