TY - JOUR
T1 - Chiral transfer of angular momentum
AU - Moffatt, H. K.
AU - Vladimirov, V. A.
N1 - Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/10/14
Y1 - 2019/10/14
N2 - Suppose that viscous fluid is contained in the space between a fixed sphere S2 and an interior sphere S1 which moves with time-periodic velocity U(t) and angular velocity ω(t), with U(t)=ω(t)=0. It is shown that, provided this motion is chiral in character, it can drive a flow that exerts a nonzero torque on S2. Thus angular momentum can be transferred through this mechanism. In the Appendix, it is shown why lubrication theory does not apply to this problem, even in the limit when the spheres make instantaneous contact.
AB - Suppose that viscous fluid is contained in the space between a fixed sphere S2 and an interior sphere S1 which moves with time-periodic velocity U(t) and angular velocity ω(t), with U(t)=ω(t)=0. It is shown that, provided this motion is chiral in character, it can drive a flow that exerts a nonzero torque on S2. Thus angular momentum can be transferred through this mechanism. In the Appendix, it is shown why lubrication theory does not apply to this problem, even in the limit when the spheres make instantaneous contact.
UR - http://www.scopus.com/inward/record.url?scp=85074399719&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85074399719&partnerID=8YFLogxK
U2 - 10.1103/PhysRevFluids.4.104102
DO - 10.1103/PhysRevFluids.4.104102
M3 - Article
AN - SCOPUS:85074399719
SN - 2469-990X
VL - 4
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 10
M1 - 104102
ER -