ON THE SHOCK TRANSITION, THE HYDRAULIC JUMP, AND VORTEX BREAKDOWN.

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Abstract:

The normal shock, hydraulic jump, and vortex breakdown have a common feature they are all marked by a transition from a supercritical to a subcritical flow state. These phenomena are due to the nonlinearity of the flow, and it is shown that viscosity also plays an essential role. The paper demonstrates explicitly how viscosity enters into these flows. The treatment of normal shock served a starting illustration. Then an equation governing the phenomenon of hydraulic jump is derived with the inclusion of the effect of viscosity. It is explicitly shown that supercritical flow is not stable and has to go through a transition to a conjugate subcritical flow state downstream. Similar treatment is also applied to vortex breakdown with largely similar results. Author

Author(s):
Hsieh, Din-yu
Author Organization(s):
CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE
Descriptive Note:
Technical rept.,
Pagination:
0032

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
85-39
Contract/Grant Number(s):
N00014-67-A-0094
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*SHOCK WAVES, *HYDRODYNAMICS, *VORTICES, FLUID DYNAMICS, TURBULENCE, STABILITY, ONE DIMENSIONAL FLOW, VISCOSITY, INCOMPRESSIBLE FLOW, AXISYMMETRIC FLOW
Field(s)/Group(s):
Fluid Mechanics
Keyword(s):
HYDRAULIC JUMPS
Report Date:
1967 Mar 01