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Hydrodynamics of Particles at a Liquid Interface.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Hydrodynamics of Particles at a Liquid Interface.
Author:	Zhou, Zhi.
Published:	Ann Arbor : ProQuest Dissertations & Theses, 2023
Description:	188 p.
Notes:	Source: Dissertations Abstracts International, Volume: 85-06, Section: B.
Notes:	Advisor: Miksis, Michael J.;Vlahovska, Petia.
Contained By:	Dissertations Abstracts International85-06B.
Subject:	Applied mathematics.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30696465
ISBN:	9798381175394

Hydrodynamics of Particles at a Liquid Interface.
Zhou, Zhi.

Hydrodynamics of Particles at a Liquid Interface. - Ann Arbor : ProQuest Dissertations & Theses, 2023 - 188 p.

Source: Dissertations Abstracts International, Volume: 85-06, Section: B.

Thesis (Ph.D.)--Northwestern University, 2023.

This item must not be sold to any third party vendors.

The dynamics of colloidal particles attached to an interface separating two immiscible fluids are encountered in a wide variety of engineering and biomedical applications. Here we present a combined asymptotic and numerical investigation of the fluid motion past spherical particles attached to a deformable interface undergoing uniform creeping flows in the limit of small Capillary number and small deviation of the contact angle from 90 degrees. Under the assumption of a constant three-phase contact angle, we calculate the interfacial deformation around an isolated particle and a particle pair. Applying the Lorentz reciprocal theorem to the zeroth-order approximation corresponding to spherical particles at a flat interface and the first correction in Capillary number and correction contact angle allows us to obtain explicit analytical expressions for the hydrodynamic drag and torque in terms of the zeroth-order approximations and the correction deformations. The drag and torque coefficients are computed as a function of the three-phase contact angle, the viscosity ratio of the two fluids, the Bond number, the slip coefficient, and the separation distance between the particles. In addition, we study the capillary interactions between two particles trapped at a liquid interface via numerical computations and linear superposition approximations.

ISBN: 9798381175394Subjects--Topical Terms:

377601
Applied mathematics.
Subjects--Index Terms:

Contact line dynamics

Hydrodynamics of Particles at a Liquid Interface.
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020 $a 9798381175394
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040 $a MiAaPQ $c MiAaPQ
100 1 $a Zhou, Zhi. $3 947102
245 1 0 $a Hydrodynamics of Particles at a Liquid Interface.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2023
300 $a 188 p.
500 $a Source: Dissertations Abstracts International, Volume: 85-06, Section: B.
500 $a Advisor: Miksis, Michael J.;Vlahovska, Petia.
502 $a Thesis (Ph.D.)--Northwestern University, 2023.
506 $a This item must not be sold to any third party vendors.
520 $a The dynamics of colloidal particles attached to an interface separating two immiscible fluids are encountered in a wide variety of engineering and biomedical applications. Here we present a combined asymptotic and numerical investigation of the fluid motion past spherical particles attached to a deformable interface undergoing uniform creeping flows in the limit of small Capillary number and small deviation of the contact angle from 90 degrees. Under the assumption of a constant three-phase contact angle, we calculate the interfacial deformation around an isolated particle and a particle pair. Applying the Lorentz reciprocal theorem to the zeroth-order approximation corresponding to spherical particles at a flat interface and the first correction in Capillary number and correction contact angle allows us to obtain explicit analytical expressions for the hydrodynamic drag and torque in terms of the zeroth-order approximations and the correction deformations. The drag and torque coefficients are computed as a function of the three-phase contact angle, the viscosity ratio of the two fluids, the Bond number, the slip coefficient, and the separation distance between the particles. In addition, we study the capillary interactions between two particles trapped at a liquid interface via numerical computations and linear superposition approximations.
590 $a School code: 0163.
650 4 $a Applied mathematics. $3 377601
650 4 $a Fluid mechanics. $3 189003
650 4 $a Theoretical mathematics. $3 708655
653 $a Contact line dynamics
653 $a Fluid-particle interactions
653 $a Low Reynolds number flows
653 $a Capillary number
653 $a Zeroth-order approximations
690 $a 0364
690 $a 0204
690 $a 0642
710 2 $a Northwestern University. $b Engineering Sciences and Applied Mathematics. $3 886704
773 0 $t Dissertations Abstracts International $g 85-06B.
790 $a 0163
791 $a Ph.D.
792 $a 2023
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=30696465