Theory for Supercavitating Flow Through an Arbitrary Form Hydrofoil

1964 ◽  
Vol 86 (2) ◽  
pp. 285-290
Author(s):  
R. O¯ba

An accurate theory which included the following two methods was developed concerning the flow through an arbitrary form supercavitating hydrofoil: (i) A method by which to obtain the hydrofoil form for a given pressure distribution; (ii) a method by which to estimate hydrofoil characteristics. The accuracy of the previously reported linearized solution was checked on, and then a very simple effective correcting method for the linearized solution was found out.

1977 ◽  
Vol 82 (1) ◽  
pp. 115-128 ◽  
Author(s):  
R. A. Evans ◽  
M. I. G. Bloor

Following weak plane shock diffraction at a knife-edge situated in a duct, a two-dimensional vortex sheet springs from the salient edge. The method of ‘vortex discretization’ is used, in conjunction with a Schwarz-Christoffel transformation, to develop a two-dimensional potential model for this constrained form of vortex generation. The analysis is independent of empirical parameters and describes, qualitatively, the pattern of streamlines through the orifice.Flow-visualization photographs are presented which illustrate the spiral shape of the starting vortex. Although of a limited nature, quantitative experimental vortex growth rates have been obtained and are compared with initial growth rates predicted theoretically. The results are discussed together with other aspects of the problem, including the limitations of the theory.An extension of vortex discretization is developed whereby the pressure distribution remote from the vortex sheet can be calculated. The combination of flow separation and the associated static wall pressure distribution gives theoretical insight into the mechanism of flow through an orifice.


Author(s):  
Nirm V. Nirmalan ◽  
Jeremy C. Bailey ◽  
Mark E. Braaten

An experimental and computational investigation was conducted to study the detailed distribution of heat transfer effectiveness and pressure on an attached tip-shroud of a turbine blade. Temperatures and pressures were measured on the airfoil-side and gap-side surfaces of the shrouded tip in a three-airfoil stationary cascade. The instrumented center airfoil and the two slave airfoils modeled the aerodynamic tip section of a blade and have the capability to vary tip clearance. The experiments were run at gaps varying of 0.25% to 1.67% of blade span and at an airfoil exit Reynolds number of 1.26×106 and Mach number of 0.95. The effect of coolant flow through the radial-cooled airfoil was also studied. The experimental results are compared with a computational model using the commercially available code, CFX. This unique study presents the influence of gap and coolant flow on the pressure distribution and heat transfer effectiveness of an attached tip-shroud surface.


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