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Atomization and Sprays
Импакт фактор: 1.262 5-летний Импакт фактор: 1.518 SJR: 0.814 SNIP: 1.18 CiteScore™: 1.6

ISSN Печать: 1044-5110
ISSN Онлайн: 1936-2684

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Atomization and Sprays

DOI: 10.1615/AtomizSpr.2014010501
pages 949-976

THE EFFECT OF VISCOSITY AND CONVECTION ON THE STABILITY OF ANNULAR LIQUID SHEETS

Mahesh V. Panchagnula
Department of Applied Mechanics, Indian Institute of Technology Madras, Chennai 600036, India
Paul E. Sojka
Maurice J. Zucrow Laboratories (formerly Thermal Sciences and Propulsion Center), School of Mechanical Engineering, Purdue University, West Lafayette, Indiana, 47907-2014, USA
Anil K. Bajaj
School of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907-1003, USA

Краткое описание

A nonlinear stability model for the breakup of annular liquid sheets subject to inner and outer gases of negligible inertia was developed. Using this model, we demonstrate the effect of viscosity and advection velocity on the breakup process. The formulation used is similar to that of Eggers and Dupont (1994) and involves expanding the flow field variables as asymptotic expansions of a "thin" variable and then solving the one-dimensional equations using the Galerkin finite element framework. One-dimensional (paravaricose) disturbances were assumed and the long wave ansatz was employed. We show that a nonzero mean axial velocity allows convection of disturbances downstream and can cause disturbance waves that are linearly stable to grow in time and eventually lead to sheet breakup (if the initial disturbance amplitude is greater than a critical value). We also show that the annular sheet could form satellite rings (analogous to the satellite drops that have been observed when cylindrical jets break up) under certain conditions. Model predictions show that increasing the Ohnesorge number yields the expected stabilization of the sheet. Finally, we show that the effect of the annular sheet thickness is counterintuitive, in that thicker sheets tend to break up faster.