Feldman, Saul (1955) On the hydrodynamic stability of two viscous incompressible fluids in parallel uniform shearing motion. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-12032003-093226
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.))|
|Degree Grantor:||California Institute of Technology|
|Division:||Engineering and Applied Science|
|Major Option:||Mechanical Engineering|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||1 January 1955|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||04 Dec 2003|
|Last Modified:||26 Dec 2012 03:11|
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