TY - JOUR
T1 - Growth and nonlinear response of driven water bells
AU - Kolinski, John M.
AU - Aharoni, Hillel
AU - Fineberg, Jay
AU - Sharon, Eran
N1 - Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/4
Y1 - 2017/4
N2 - A water bell forms when a fluid jet impacts upon a target and separates into a two-dimensional sheet. Depending on the angle of separation from the target, the sheet can curve into a variety of different geometries. We show analytically that harmonic perturbations of water bells have linear wave solutions with geometry-dependent growth. We test the predictions of this model experimentally with a custom target system, and observe growth in agreement with the model below a critical forcing amplitude. Once the critical forcing amplitude is exceeded, a nonlinear transcritical bifurcation occurs; the response amplitude increases linearly with increasing forcing amplitude, albeit with a fundamentally different spatial form, and distinct nodes appear in the amplitude envelope.
AB - A water bell forms when a fluid jet impacts upon a target and separates into a two-dimensional sheet. Depending on the angle of separation from the target, the sheet can curve into a variety of different geometries. We show analytically that harmonic perturbations of water bells have linear wave solutions with geometry-dependent growth. We test the predictions of this model experimentally with a custom target system, and observe growth in agreement with the model below a critical forcing amplitude. Once the critical forcing amplitude is exceeded, a nonlinear transcritical bifurcation occurs; the response amplitude increases linearly with increasing forcing amplitude, albeit with a fundamentally different spatial form, and distinct nodes appear in the amplitude envelope.
UR - http://www.scopus.com/inward/record.url?scp=85035364213&partnerID=8YFLogxK
U2 - 10.1103/PhysRevFluids.2.042401
DO - 10.1103/PhysRevFluids.2.042401
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AN - SCOPUS:85035364213
SN - 2469-990X
VL - 2
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 4
M1 - 042401
ER -