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Stabilizing effect of surrounding gas flow on a plane liquid sheet

Published online by Cambridge University Press:  18 February 2011

OUTI TAMMISOLA ,
ATSUSHI SASAKI ,
FREDRIK LUNDELL ,
MASAHARU MATSUBARA  and
L. DANIEL SÖDERBERG
OUTI TAMMISOLA
Affiliation:
Linné Flow Centre, KTH Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
ATSUSHI SASAKI
Affiliation:
Mechanical Systems Engineering, Shinshu University, Nagano 380-8553, Japan
FREDRIK LUNDELL*
Affiliation:
Linné Flow Centre, KTH Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden Wallenberg Wood Science Center, KTH Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
MASAHARU MATSUBARA
Affiliation:
Mechanical Systems Engineering, Shinshu University, Nagano 380-8553, Japan
L. DANIEL SÖDERBERG
Affiliation:
Wallenberg Wood Science Center, KTH Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden Innventia AB, Box 5604, SE-114 86 Stockholm, Sweden
*
†Email address for correspondence: fredrik@mech.kth.se
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Abstract

The stability of a plane liquid sheet is studied experimentally and theoretically, with an emphasis on the effect of the surrounding gas. Co-blowing with a gas velocity of the same order of magnitude as the liquid velocity is studied, in order to quantify its effect on the stability of the sheet. Experimental results are obtained for a water sheet in air at Reynolds number Rel = 3000 and Weber number We = 300, based on the half-thickness of the sheet at the inlet, water mean velocity at the inlet, the surface tension between water and air and water density and viscosity. The sheet is excited with different frequencies at the inlet and the growth of the waves in the streamwise direction is measured. The growth rate curves of the disturbances for all air flow velocities under study are found to be within 20% of the values obtained from a local spatial stability analysis, where water and air viscosities are taken into account, while previous results from literature assuming inviscid air overpredict the most unstable wavelength with a factor 3 and the growth rate with a factor 2. The effect of the air flow on the stability of the sheet is scrutinized numerically and it is concluded that the predicted disturbance growth scales with (i) the absolute velocity difference between water and air (inviscid effect) and (ii) the square root of the shear from air on the water surface (viscous effect).

JFM classification

Flow Control: Instability control Interfacial Flows (free surface): Interfacial Flows (free surface) Wakes/Jets: Jets
Type
Papers
Information
Journal of Fluid Mechanics , Volume 672 , 10 April 2011 , pp. 5 - 32
Copyright
Copyright © Cambridge University Press 2011

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