Abstract
Problems of symmetrical twodimensional supercavitating flow about a thin wedge in a finite fluid with two free surfaces are solved by means of a linearized method utilizing the complex acceleration potential. Taking advantage of the symmetry, the otherwise doubly connected region is divided into two identical simply connected regions. Conformal mapping technique is then applied to the upper half of the flow region. An oscillatorytype motion as well as general types of unsteady motions are considered. The solution contains no singularity and, as a result, pressure is everywhere finite. The mathematical condition required for the existence of a singularityfree solution leads to an equation which gives the relationship between the cavity length and the cavitation number. The theoretical results are in good agreement with experimental data for the steadyflow case, but data for the unsteady case are not yet available.
Original language  English (US) 

State  Published  Jan 1962 
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St. Anthony Falls Laboratory
Lian Shen (Director)
St. Anthony Falls LaboratoryEquipment/facility: Facility