TY - JOUR
T1 - Stability of thin liquid curtains
AU - Benilov, E. S.
AU - Barros, R.
AU - O'Brien, S. B.G.
N1 - Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/10/21
Y1 - 2016/10/21
N2 - We investigate the stability of thin liquid curtains with respect to two-dimensional perturbations. The dynamics of perturbations with wavelengths exceeding (or comparable to) the curtain's thickness are examined using the lubrication approximation (or a kind of geometric optics). It is shown that, contrary to the previous theoretical results, but in agreement with the experimental ones, all curtains are stable with respect to small perturbations. Large perturbations can still be unstable, however, but only if they propagate upstream and, thus, disrupt the curtain at its outlet. This circumstance enables us to obtain an effective stability criterion by deriving an existence condition for upstream propagating perturbations.
AB - We investigate the stability of thin liquid curtains with respect to two-dimensional perturbations. The dynamics of perturbations with wavelengths exceeding (or comparable to) the curtain's thickness are examined using the lubrication approximation (or a kind of geometric optics). It is shown that, contrary to the previous theoretical results, but in agreement with the experimental ones, all curtains are stable with respect to small perturbations. Large perturbations can still be unstable, however, but only if they propagate upstream and, thus, disrupt the curtain at its outlet. This circumstance enables us to obtain an effective stability criterion by deriving an existence condition for upstream propagating perturbations.
UR - http://www.scopus.com/inward/record.url?scp=84992694853&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.94.043110
DO - 10.1103/PhysRevE.94.043110
M3 - Article
AN - SCOPUS:84992694853
SN - 2470-0045
VL - 94
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 4
M1 - 043110
ER -