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By Dr. A. C. Thompson

ISBN-10: 0408013915

ISBN-13: 9780408013918

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This can be one of a number of principles classed as variational or as weighted residual methods. The briefest explanation for potentialflowsis provided by a variational principle. One possible principle is that the solution must be one in which the energy of the flow is a minimum. For incompressible flow, strain energy cannot be stored so we find a flow with minimum kinetic energy (this being the only part of the total energy which can change).

OF POINTS? —-. 2832 / NP XI = RC * COS (T1) ♦ XC Y1 = RC * SIN (T1) + YC R1 » SQR (XI A 2 + Y1 Λ 2) SN = Y1 / RIsCS = XI / R1 X2CI) =

13 Bibliography 1. Douglas, J. , Gasiorek, J. M. and Swaffield, J. , Fluid Mechanics, Pitman (1979). 2. Massy, B. , Mechanics of Fluids, 5th edition, Van Nostrand Reinhold (1983). 3. Milne-Thomson, L. , Theoretical Hydrodynamics, 5th Edition Macmillan (1968). 4. , Hydrodynamics, 6th Edition, Cambridge University Press (1932). 5. Kirchoff, R. , Potential Flows, Marcel Dekker (1985). 1 XYSP1: stream function and potential in a source A short program to calculate the stream function and velocity potential of a source is given below.

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Basic Hydrodynamics by Dr. A. C. Thompson


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