TY - JOUR
T1 - Laws of Resistance in Transitional Pipe Flows
AU - Cerbus, Rory T.
AU - Liu, Chien Chia
AU - Gioia, Gustavo
AU - Chakraborty, Pinaki
N1 - Publisher Copyright:
© 2018 authors. Published by the American Physical Society.
PY - 2018/1/31
Y1 - 2018/1/31
N2 - As everyone knows who has opened a kitchen faucet, pipe flow is laminar at low flow velocities and turbulent at high flow velocities. At intermediate velocities, there is a transition wherein plugs of laminar flow alternate along the pipe with "flashes" of a type of fluctuating, nonlaminar flow that remains poorly understood. In the 19th century, Osborne Reynolds sought to connect these states of flow with quantitative "laws of resistance," whereby the fluid friction is determined as a function of the Reynolds number. While he succeeded for laminar and turbulent flows, the laws for transitional flows eluded him and remain unknown to this day. By properly distinguishing between laminar plugs and flashes in the transitional regime, we show experimentally and numerically that the law of resistance for laminar plugs corresponds to the laminar law and the law of resistance for flashes is identical to that of turbulence.
AB - As everyone knows who has opened a kitchen faucet, pipe flow is laminar at low flow velocities and turbulent at high flow velocities. At intermediate velocities, there is a transition wherein plugs of laminar flow alternate along the pipe with "flashes" of a type of fluctuating, nonlaminar flow that remains poorly understood. In the 19th century, Osborne Reynolds sought to connect these states of flow with quantitative "laws of resistance," whereby the fluid friction is determined as a function of the Reynolds number. While he succeeded for laminar and turbulent flows, the laws for transitional flows eluded him and remain unknown to this day. By properly distinguishing between laminar plugs and flashes in the transitional regime, we show experimentally and numerically that the law of resistance for laminar plugs corresponds to the laminar law and the law of resistance for flashes is identical to that of turbulence.
UR - http://www.scopus.com/inward/record.url?scp=85041342003&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.120.054502
DO - 10.1103/PhysRevLett.120.054502
M3 - 期刊論文
C2 - 29481155
AN - SCOPUS:85041342003
VL - 120
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 5
M1 - 054502
ER -