Note on Gravity Effects in Supercavitating Flow
Two approximations to the linearized theory for supercavitating flow about slender bodies are applied to the case of flow past a slender wedge in a transverse gravity field. The additional lift and moment forces arising as a result of the gravity field are calculated by theories that are expected to hold when the gravity effects are of first-order smallness consistent with the linearization approximations. The lift and moment coefficients obtained from the two approximations are in general quantitative agreement over the most important cavitation number range. The results obtained confirm the validity of the average-value approximation introduced by Parkin. (Author).
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1+ff 2ikl Aerial Way Syosset Aircraft analyses average-value approximation averaging technique boundary conditions Bureau of Ships Calif Dr cavitation number range cavity closure cavity surface center of lift Civil Engg complex number complex perturbation velocity defined Dept of Engg Dept of Mech Dept of Oceanography Dept Washington 25 Director U. S. Naval EFFECTS IN SUPERCAVITATING evaluated first-order approximation theory flow past Fluid Dynamics Froude number Fundamental Hydromechanics Research g dQ given in Ref gravity effects homogeneous Hilbert problem Hydromechanics Research Program important cavitation number ipU chord iPu2 l+ff LIFT COEFFICIENT linearized theory Math N Y Dr Navy Dept Washington nondimensional perturbation velocities nose of wedge numerical integration ONRBR Parkin and Street pressure coefficient Prof Q-plane Re(w real constants revised boundary-value problem rotational shear flows Ships Fundamental Hydromechanics singularities slit Stanford supercavitating flow transverse gravity field u-iv U. S. Army unit circle wx(Q yc(x yo(r)dr zeroth-order solution