Unformatted text preview: 4.5 Bernoulli's integral for two types of steady, isentropic, compressible flows: (a) perfect gases and (b) liquids with constant compressibility. Isentropic expansion of a gas into vacuum. A criterion for “incompressible flow.” 4.6 The general form of Bernoulli's integral (for unsteady as well as steady flow). Examples: startup transients, Rayleigh bubble oscillation, etc., mainly in incompressible flows. 4.7 Introductory comments on potential (vorticityfree) flow and the velocity potential φ . Incompressible flows as solutions of ∇ 2 φ = 0 with ∂φ / ∂ n =0 at solid boundaries. The equation for pressure in terms of the velocity potential φ . Read: Fay Chapt. 4 Assignments Kundu & Cohen Chapt. 4.164.17; Chapt. 5.3 Problems: Shapiro & Sonin 4.1, 4.4, 4.7, 4.8, 4.9, 4.15, 4.18, 4.19, 4.21, 4.23, 4.24, 4.28...
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 Fall '05
 GarethMcKinley
 Fluid Dynamics, Incompressible Flows, streamline curvature, Gareth H. McKinley, Ain A. Sonin, Cohen Shapiro & Sonin

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