AN ANALYSIS OF THE TWO-DIMENSIONAL TURBULENT BUOYANT JET

Abstract

The two-dimensional turbulent buoyant jet is analyzed using a vertical length scale defined by L = M₀F₀ ^F0−23 where Ma is the rate at which momentum is added at the source and F₀ is the rate at which buoyancy is added. Introduction of the length scales into the equations of motion shows the ratio x/L directly controls the bouyancy term. The pure momentum jet corresponds to the limit x/L→;0 and the pure buoyant plume to x/L→∞. Utilizing an eddy viscosity model, a similarity solution is presented for the buoyant plume, a series solution is used to develop this eddy viscosity model, and a numerical solution is presented for the buoyant jet. Comparisons are made with available experimental data.

KEYWORDS:

• Turbulence
• Jet
• Analysis