TY - JOUR
T1 - Rotating tensiometer for the measurement of the elastic modulus of deformable particles
AU - Villone, Massimiliano M.
AU - Stone, Howard A.
N1 - Publisher Copyright:
© 2020 American Physical Society.
PY - 2020/8
Y1 - 2020/8
N2 - In a spinning drop tensiometer, the interfacial tension between two immiscible fluids can be inferred from the equilibrium shape of a drop suspended in a denser rotating immiscible liquid [B. Vonnegut, Rev. Sci. Instrum. 13, 6 (1942)RSINAK0034-674810.1063/1.1769937]. For small deformations of the droplet, an analytical solution for the droplet's shape exists [H. A. Stone and J. W. M. Bush, Q. Appl. Math. 54, 551 (1996)QAMAAY0033-569X10.1090/qam/1402409]. Similarly, we derive an analytical solution for the deformation dynamics of an initially spherical elastic particle suspended in a denser viscous rotating liquid. At long times, the particle attains a steady-state deformed shape that depends on the rotational Bond number, from which it is possible to get a measurement of the particle's elastic modulus, thus giving a proof of concept for a rotating tensiometer. Direct numerical simulations are used to validate the theory and identify its limits of applicability.
AB - In a spinning drop tensiometer, the interfacial tension between two immiscible fluids can be inferred from the equilibrium shape of a drop suspended in a denser rotating immiscible liquid [B. Vonnegut, Rev. Sci. Instrum. 13, 6 (1942)RSINAK0034-674810.1063/1.1769937]. For small deformations of the droplet, an analytical solution for the droplet's shape exists [H. A. Stone and J. W. M. Bush, Q. Appl. Math. 54, 551 (1996)QAMAAY0033-569X10.1090/qam/1402409]. Similarly, we derive an analytical solution for the deformation dynamics of an initially spherical elastic particle suspended in a denser viscous rotating liquid. At long times, the particle attains a steady-state deformed shape that depends on the rotational Bond number, from which it is possible to get a measurement of the particle's elastic modulus, thus giving a proof of concept for a rotating tensiometer. Direct numerical simulations are used to validate the theory and identify its limits of applicability.
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U2 - 10.1103/PhysRevFluids.5.083606
DO - 10.1103/PhysRevFluids.5.083606
M3 - Article
AN - SCOPUS:85092050969
SN - 2469-990X
VL - 5
JO - Physical Review Fluids
JF - Physical Review Fluids
IS - 8
M1 - 083606
ER -