Weak Buoyancy in Laminar Vertical Jets
The paper is concerned with the influence of weak buoyancy forces on the velocity and temperature distributions of a laminar, vertical and axisymmetric get. It is shown that a regular perturbation method as carried out by Mollendorf and Gebhart ceases to be valid in a certain, outer region of the jet if Pr < 3/2, and that it breaks down entirely if Pr ≦ 1/2. A uniformly valid first approximation is obtained by the method of matched asymptotic expansions for the case 1/2 < Pr < 3/2.
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