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FLUID DYNAMICS OF A CRYSTALLIZING PARTICLE
IN A ROTATING LIQUID SPHERE
by
Channarong Asavatesanupap
A Dissertation Presented to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(AEROSPACE AND MECHANICAL ENGINEERING)
May 2007
Copyright 2007 Channarong Asavatesanupap
Object Description
| Title | Fluid dynamics of a crystallizing particle in a rotating liquid sphere |
| Author | Asavatesanupap, Channarong |
| Author email | asavates@usc.edu |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Mechanical Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2006-12-11 |
| Date submitted | 2007 |
| Restricted until | Unrestricted |
| Date published | 2007-02-01 |
| Advisor (committee chair) | Sadhal, Sadwintar |
| Advisor (committee member) |
Egolfopoulos, Fokion Redekopp, Larry G. Shing, Katherine |
| Abstract | In this investigation, fluid dynamics of a spherical particle in a rotating liquid sphere is studied. Such problems arise during protein crystal growth by the containerless approach in which a drop of protein solution is levitated against gravity, and rotated steadily by a torque from an acoustic field. Viscosity of the solution is assumed to be sufficiently high such that viscous force dominates and the second-order effects in the acoustic field do not penetrate the drop surface. The analysis is carried out at very small Reynolds and Taylor numbers for which the fluid flow is treated by Stokes approximation. With a given geometric configuration, the velocity field is calculated and used to determine the particle velocity at a given time. By integrating the particle velocity, the particle path is obtained and used for optimizing the rotation rate of the drop in an attempt to keep the particle fully contained in the drop.; In addition, the transient dynamics of a rotating levitated liquid drop in unbounded gaseous fluid is investigated. A liquid drop is considered to experience two different fundamental transients, one when the torque is turned off and another when the torque is turned on. The motion of the fluids in the drop interior and surroundings is described by the Stokes equations with the time-derivative term included. The solutions are obtained analytically by the Laplace transform technique. The results show that the transient effects caused by the applied torque are relatively small for the high-viscosity solution considered. Hence, for most applications of containerless protein crystal growth, the liquid drop may be assumed to rotate like a solid body while allowing the solid particle relative motion within that framework. |
| Keyword | rotating sphere; Stokes flow; liquid sphere; levitated liquid drop; fluid dynamics |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Type | texts |
| Legacy record ID | usctheses-m238 |
| Contributing entity | University of Southern California |
| Rights | Asavatesanupap, Channarong |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Asavatesanupap-20070201 |
| Archival file | uscthesesreloadpub_Volume17/etd-Asavatesanupap-20070201.pdf |
Description
| Title | Page 1 |
| Contributing entity | University of Southern California |
| Full text | FLUID DYNAMICS OF A CRYSTALLIZING PARTICLE IN A ROTATING LIQUID SPHERE by Channarong Asavatesanupap A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (AEROSPACE AND MECHANICAL ENGINEERING) May 2007 Copyright 2007 Channarong Asavatesanupap |
