On the Hydrodynamic Stability of Two Viscous Incompressible Fluids in Parallel Uniform Shearing Motion

Citation

Feldman, Saul (1955) On the Hydrodynamic Stability of Two Viscous Incompressible Fluids in Parallel Uniform Shearing Motion. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/X62Y-2070. https://resolver.caltech.edu/CaltechETD:etd-12032003-093226

Abstract

A new problem in hydrodynamic stability is investigated. Given two contiguous plane sheets of viscous incompressible fluids, bounded on one side by a solid wall and unbounded on the other, the problem is to study the hydrodynamic stability when the fluids are in longitudinal, laminar, uniform shearing motion. The mathematical analysis, based on small disturbance theory, leads to a characteristic vague problem in a system of two linear ordinary differential equations. The case for which forces due to gravity and surface tension are negligible compared with inertia and viscous forces is studied in detail, and the results are presented graphically for all fluid combinations of possible interest.

Item Type:	Thesis (Dissertation (Ph.D.))
Subject Keywords:	(Mechanical Engineering and Mathematics)
Degree Grantor:	California Institute of Technology
Division:	Engineering and Applied Science
Major Option:	Mechanical Engineering
Minor Option:	Mathematics
Thesis Availability:	Public (worldwide access)
Research Advisor(s):	Rannie, W. Duncan
Thesis Committee:	Unknown, Unknown
Defense Date:	1 January 1955
Record Number:	CaltechETD:etd-12032003-093226
Persistent URL:	https://resolver.caltech.edu/CaltechETD:etd-12032003-093226
DOI:	10.7907/X62Y-2070
Default Usage Policy:	No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:	4731
Collection:	CaltechTHESIS
Deposited By:	Imported from ETD-db
Deposited On:	04 Dec 2003
Last Modified:	28 Jun 2023 21:52

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