Flow Parameter Dependence of Laminar Plumes with Buoyancy Reversal from a Line Source

Abstract

Laminar plumes that under goes buoyancy reversal have just been studied. It is true that fast penetration of the rising fluid will result to strong interaction between the rising plume and the ambient fluid which will lead to a quick halt based on the production of denser fluid that in turn halt their rise height. Thus, the present work have considered some sort of balance between viscous, inertia and buoyancy to have a reasonable plume’s rise height and effective mixing as we observe the behavior of these rising plumes while varying Reynolds number. At initial time interval, plumes were symmetric. There was a sideways flapping and bobbing motion after when the penetrating head became dense and detached. Two regimes of Re dependence fountains height over the range of Re ≤ 200 and the time τn taken to attain that height was recorded. Relations were also drawn that describes the rate of decrease in the fountain’s height from our empirically determined data set. Profiles of temperature and the various velocity components were also determined. Thus, with the quadratic dependence relation assumption, laminar fountains are feasible for Pr = 7 or 11.4, 5 ≤ Re ≤ 200 and 0.5 Fr. The fountains here are independent of Pr but dependent of both Re and Fr.