TY - JOUR
T1 - From Flutter to Tumble: Inertial Drag and Froude Similarity in Falling Paper
AU - Belmonte, Andrew
AU - Eisenberg, Hagai
AU - Moses, Elisha
PY - 1998/7/13
Y1 - 1998/7/13
N2 - In an experiment on thin flat strips falling through a fluid in a vertical cell, two fundamental motions are observed: side-to-side oscillation (flutter) and end-over-end rotation (tumble). At high Reynolds number, the dimensionless similarity variable describing the dynamics is the Froude number Fr, being the ratio of characteristic times for downward motion and pendular oscillations. The transition from flutter to tumble occurs at Frc=0.67±0.05. We propose a phenomenological model including inertial drag and lift which reproduces this motion, and directly yields the Froude similarity.
AB - In an experiment on thin flat strips falling through a fluid in a vertical cell, two fundamental motions are observed: side-to-side oscillation (flutter) and end-over-end rotation (tumble). At high Reynolds number, the dimensionless similarity variable describing the dynamics is the Froude number Fr, being the ratio of characteristic times for downward motion and pendular oscillations. The transition from flutter to tumble occurs at Frc=0.67±0.05. We propose a phenomenological model including inertial drag and lift which reproduces this motion, and directly yields the Froude similarity.
UR - http://www.scopus.com/inward/record.url?scp=0000459523&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000459523&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.81.345
DO - 10.1103/PhysRevLett.81.345
M3 - Article
AN - SCOPUS:0000459523
SN - 0031-9007
VL - 81
SP - 345
EP - 348
JO - Physical review letters
JF - Physical review letters
IS - 2
ER -