Abstract/Details

A numerical method for solving the motion of an incompressible viscous fluid between two rotating and precessing spheres


1989 1989

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Abstract (summary)

The main purpose of this research is to study the use of a numerical method which has been developed by this investigator to solve unsymmetric fluid flow problems which are formulated in terms of the primitive variables; i.e., pressure and velocity. The numerical solution of these equations presents several difficulties due to (a) coupling of nonlinear equations, (b) lack of prescribed boundary conditions for the pressure and (c) the fact that the continuity equation does not contain an explicit time-derivative term. The investigator's method, which overcomes all of these difficulties, is demonstrated by applying it to a problem involving the flow of a viscous fluid contained in an annulus between two concentric spheres spinning about a common axis which is rigidly attached to a rotating platform. It is assumed that the spin axis of the two spheres with prescribed torques is inclined to the platform and that the platform is undergoing constant rotation about a vertical inertial axis, thus resulting in unsymmetric flow in the annulus. Results are obtained which demonstrate the effects of the nutation angle and precession rate on the fluid flow.

Indexing (details)


Subject
Mechanical engineering
Classification
0548: Mechanical engineering
Identifier / keyword
Applied sciences
Title
A numerical method for solving the motion of an incompressible viscous fluid between two rotating and precessing spheres
Author
Lin, Jhy-hong J.
Number of pages
134
Publication year
1989
Degree date
1989
School code
0116
Source
DAI-B 51/04, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Nigro, N. J.
University/institution
Marquette University
University location
United States -- Wisconsin
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9014055
ProQuest document ID
303710902
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/303710902
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