The axisymmetric plumes and the axisymmetric jets are investigated analytically. The
k-ε turbulence model is adopted in the analysis. Both axisymmetric plumes and jets satisfy the similarity solutions, which are independent on the Reynolds number and the Richardson number. Therefore the similarity solutions are expected to be applicable to the wide range of hydraulic conditions. The velocity distributions of the plume and the jet obtained herein explain well the experimental results. The distribution of relative density difference predicted for the plume also explains well the experimental data. The value of σ
t =0.4 for the axisymmetric plumes is somewhat smaller than the values of σ
t=0.8-1.0 for the inclined wall plumes and for the plane plumes. Thus it is concluded that the method of the similarity solutions can be used to obtain the velocity and temperature distributions.
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