Citation
Gruber, William Paul (1968) Formation of jets by implusive acceleration of a curved free surface. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/SWXB0X23. https://resolver.caltech.edu/CaltechTHESIS:12072015132454281
Abstract
The sudden axial acceleration of a column of liquid bounded at one end by a concave free surface has been found, experimentally, to produce a jet which issues from the free surface with a speed several times that imparted to the column.
Theoretical approximations to such flows, valid for small time, are formulated subject to the assumption that the fluid is inviscid and incompressible. In a special twodimensional case, it is found that, for vanishingly small time, the velocity at the point on the free surface from which the jet emanates is π/2 times the velocity imparted to the column. The solutions to several problems in two and three dimensions assuming that the initial curvature of the free surface is small, lead to values for this ratio dependent upon the curvature—the initial velocity in the case of axial symmetry exceeding that of the analogous twodimensional problem by approximately 25%.
Experiments conducted upon the phenomenon give values systematically in excess of those predicted by the theory, although theory and experiment are in qualitative agreement with respect to the displacement of the free surface. It is suggested that the discrepancy is attributable to effects of finite curvature having been imperfectly accounted for in the axiallysymmetric analysis.
Photographic materials on pp. 115, 120, and 121 are essential and will not reproduce clearly on Xerox copies. Photographic copies should be ordered.
Item Type:  Thesis (Dissertation (Ph.D.))  

Subject Keywords:  Mechanical Engineering  
Degree Grantor:  California Institute of Technology  
Division:  Engineering and Applied Science  
Major Option:  Mechanical Engineering  
Thesis Availability:  Public (worldwide access)  
Research Advisor(s): 
 
Thesis Committee: 
 
Defense Date:  21 May 1968  
Funders: 
 
Record Number:  CaltechTHESIS:12072015132454281  
Persistent URL:  https://resolver.caltech.edu/CaltechTHESIS:12072015132454281  
DOI:  10.7907/SWXB0X23  
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  9310  
Collection:  CaltechTHESIS  
Deposited By:  Leslie Granillo  
Deposited On:  07 Dec 2015 21:57  
Last Modified:  21 Dec 2019 04:38 
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