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11/03/2014PHY 711 Fall 2014 -- Lecture 291 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 29: Chap. 9 of F&W Introduction to hydrodynamics 1.Details of Euler formulation of hydrodynamic equations 2.Bernoulli integrals for irrotational flow 3.Sound equations
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11/03/2014PHY 711 Fall 2014 -- Lecture 292
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11/03/2014PHY 711 Fall 2014 -- Lecture 293 Newton’s equations for fluids Use Euler formulation; properties described in terms of stationary spatial grid t t’
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11/03/2014PHY 711 Fall 2014 -- Lecture 294 Euler analysis -- continued
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11/03/2014PHY 711 Fall 2014 -- Lecture 295 Continuity equation:
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11/03/2014PHY 711 Fall 2014 -- Lecture 296 Solution of Euler’s equation for fluids
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11/03/2014PHY 711 Fall 2014 -- Lecture 297 Bernoulli’s integral of Euler’s equation for constant For incompressible fluid
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11/03/2014PHY 711 Fall 2014 -- Lecture 298 Solution of Euler’s equation for fluids -- isentropic
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11/03/2014PHY 711 Fall 2014 -- Lecture 299 Solution of Euler’s equation for fluids – isentropic (continued)
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11/03/2014PHY 711 Fall 2014 -- Lecture 2910 Solution of Euler’s equation for fluids – isentropic (continued)
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11/03/2014PHY 711 Fall 2014 -- Lecture 2911 Solution of Euler’s equation for fluids – isentropic (continued)
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11/03/2014PHY 711 Fall 2014 -- Lecture 2912 Summary of Bernoulli’s results For isentropic fluid with internal energy density For incompressible fluid
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11/03/2014PHY 711 Fall 2014 -- Lecture 2913 Application of fluid equations to the case of air in equilibrium plus small perturbation
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11/03/2014PHY 711 Fall 2014 -- Lecture 2914
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11/03/2014PHY 711 Fall 2014 -- Lecture 2915
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11/03/2014PHY 711 Fall 2014 -- Lecture 2916
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11/03/2014PHY 711 Fall 2014 -- Lecture 2917 Analysis of wave velocity in an ideal gas:
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11/03/2014PHY 711 Fall 2014 -- Lecture 2918
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11/03/2014PHY 711 Fall 2014 -- Lecture 2919
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11/03/2014PHY 711 Fall 2014 -- Lecture 2920
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11/03/2014PHY 711 Fall 2014 -- Lecture 2921
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