Linear stability analysis of a viscous liquid sheet in a high-speed viscous gas
type: Item
instance of: scholarly article
title: Linear stability analysis of a viscous liquid sheet in a high-speed viscous gas
zbMATH Open document ID: 1001.76037
DOI: 10.1023/A:1015054524365
author: Guillermo Hauke
author: César Dopazo
author: Félix Barreras
author: Arezky H. Hernández
author: Antonio Lozano
published in: Flow, Turbulence and Combustion
publication date: 2002-08-19T00:00:00Z
review text: Air-assisted atomizers in which a thin liquid sheet is deformed under the action of a high-speed airflow are extensively used in industrial applications, e.g. in aircraft turbojet injectors. Primary atomization in these devices is a consequence of the onset and growth of instabilities on air-liquid interfaces. Here the authors apply a temporal linear instability analysis to a thin planar liquid sheet flowing between two semi-infinite streams of a high-speed viscous gas. This study includes the full viscous effects both in the liquid and gas basic states and perturbations. The relevant dimensionless parameters entering the nondimensional Orr-Sommerfeld equation and boundary conditions are liquid and gas Reynolds numbers, gas-to-liquid momentum flux ratio, gas-liquid velocity ratio, Weber number, and equivalent gas boundary layer to liquid sheet thickness ratio. The authors present growth rates and temporal frequencies as a function of wave number, varying the above-mentioned dimensionless parameters. Finally, the authors discuss neutral stability curves.
reviewed by: Walter Wuest
Mathematics Subject Classification ID: 76E17
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 1783583
zbMATH Keywords: viscous liquid sheet
zbMATH Keywords: linear instability
zbMATH Keywords: high-speed viscous gas
zbMATH Keywords: Orr-Sommerfeld equation
zbMATH Keywords: gas-to-liquid momentum flux ratio
zbMATH Keywords: gas-liquid velocity ratio
zbMATH Keywords: Weber number
zbMATH Keywords: wave number
zbMATH Keywords: neutral stability curves
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1783583