Linearized dynamics of two-dimensional bubbly and cavitating flows over slender surfaces

摘要: The present work investigates the dynamics of two-dimensional, steady bubbly flows over a surface and inside symmetric channel with sinusoidal profiles. Bubble effects are included. equations motion for average flow bubble radius linearized closed-form solution is obtained. Energy dissipation due to viscous, thermal liquid compressibility in bubbles included, while relative two phases viscous at boundaries neglected. results then generalized by means Fourier synthesis case surfaces slender profiles arbitrary shape. display various regimes (subsonic, supersonic superresonant) different properties according value relevant parameters. Examples discussed order show inclusion energy mechanisms on subject harmonic excitation. Finally Gaussian-shaped bump presented most important limitations theory briefly discussed.