The stationary motion of a liquid curtain falling under the effects of inertia, gravity and surface tension is analyzed. An original equation governing the streamwise distribution of thickness and velocity is derived by means of a Taylor expansion in the lateral distance from the mean line of the sheet. Approximate solutions are obtained by means of perturbation approaches involving the two parameters governing the problem, namely the slenderness ratio ε and the Weber number We. The numerical procedure employed in order to integrate the non-linear equation is discussed and a parametric study is presented, together with a comparison with the approximate asymptotic solutions valid for small ε and We.
Surface tension effects on the motion of a free-falling liquid sheet / Coppola, Gennaro; DE ROSA, Fortunato; DE LUCA, Luigi. - In: PHYSICS OF FLUIDS. - ISSN 1070-6631. - 25:6(2013), pp. 062103-1-062103-18. [10.1063/1.4810751]
Surface tension effects on the motion of a free-falling liquid sheet
COPPOLA, GENNARO;DE ROSA, FORTUNATO;DE LUCA, LUIGI
2013
Abstract
The stationary motion of a liquid curtain falling under the effects of inertia, gravity and surface tension is analyzed. An original equation governing the streamwise distribution of thickness and velocity is derived by means of a Taylor expansion in the lateral distance from the mean line of the sheet. Approximate solutions are obtained by means of perturbation approaches involving the two parameters governing the problem, namely the slenderness ratio ε and the Weber number We. The numerical procedure employed in order to integrate the non-linear equation is discussed and a parametric study is presented, together with a comparison with the approximate asymptotic solutions valid for small ε and We.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
