Re-Entrant Jet Modeling of Partial Cavity Flow on Two-Dimensional Hydrofoils

1999 ◽  
Vol 121 (4) ◽  
pp. 773-780 ◽  
Author(s):  
J. Dang ◽  
G. Kuiper
Keyword(s):  
Boundary Condition ◽  
Cavity Flow ◽  
Panel Method ◽  
Cavity Surface ◽  
Two Dimensional ◽  
Dynamic Boundary Condition ◽  
Kinematic Boundary Condition ◽  
Dynamic Boundary ◽  
Section Surface ◽  
Neumann Type

A potential based panel method is developed to predict the partial cavity flow on two-dimensional hydrofoil sections. The Dirichlet type dynamic boundary condition on the cavity surface and the Neumann type kinematic boundary condition on the wetted section surface are enforced. A re-entrant jet cavity termination model is introduced. A validation is accomplished by comparing the present calculations with cavitation experiments of a modified Joukowsky foil and a NACA 66(MOD) a = 0.8 section.

Re-Entrant Jet Modeling of Partial Cavity Flow on Three-Dimensional Hydrofoils

1999 ◽  
Vol 121 (4) ◽  
pp. 781-787 ◽  
Author(s):  
J. Dang ◽  
G. Kuiper
Keyword(s):  
Boundary Condition ◽  
Three Dimensional ◽  
Leading Edge ◽  
Neumann Boundary ◽  
Cavity Surface ◽  
Dynamic Boundary Condition ◽  
Surface Panel Method ◽  
Kinematic Boundary Condition ◽  
Dynamic Boundary ◽  
Cavity Closure

A potential-based lower-order surface panel method is developed to calculate the flow around a three-dimensional hydrofoil with an attached sheet cavity the leading edge. A Dirichlet type dynamic boundary condition on the cavity surface and a Neumann boundary condition on the wetted surface are enforced. The cavity shape is initially assumed and the kinematic boundary condition on the cavity surface is satisfied by iterating the cavity length and shape. Upon convergence, both the dynamic boundary condition and the kinematic boundary condition on the cavity surface are satisfied, and a re-entrant jet develops at the cavity closure. The flow at the closure of the cavity and the mechanism of the re-entrant jet formation is investigated. Good agreement is found between the calculated results and MIT’s experiments on a 3-D hydrofoil.

The influence of surface tension on cavitating flow past a curved obstacle

1983 ◽  
Vol 133 ◽  
pp. 255-264 ◽  
Author(s):  
Jean-Marc Vanden-Broeck
Keyword(s):  
Boundary Condition ◽  
Surface Tension ◽  
Contact Angle ◽  
Circular Cylinder ◽  
Classical Solution ◽  
Weber Number ◽  
Cavitating Flow ◽  
Two Dimensional ◽  
Dynamic Boundary Condition ◽  
Flow Past

The problem of cavitating flow past a two-dimensional curved obstacle is considered. Surface tension is included in the dynamic boundary condition. A perturbation solution for small values of the surface tension is presented. It is found that the position of the separation points is uniquely determined by specifying the value of the Weber number and the contact angle at the separation points. In addition, for a given value of the Weber number there exists a particular position of the separation points for which the slope is continuous. This solution tends to the classical solution satisfying the Brillouin–Villat condition as the surface tension tends to zero. Graphs of the results for the cavitating flow past a circular cylinder are presented.

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