4 - PerfectFluid

4 - PerfectFluid - MEM420Aerodynamics Dr.A.Yousuff...

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MEM420 Aerodynamics Dr. A. Yousuff MEM/Drexel
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Inviscid, incompressible flow Yousuff Aerodynamics 2
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Bernoulli’s equation Yousuff Aerodynamics 3 The x‐component of momentum eqn (2.113a) for an inviscid flow with no body forces becomes u v w t x y z which for steady flow: 1 p dx d   (3.3) For the flow along a streamline , eqn (3.3) 1 dy dz 
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1 p dx dy dz x y z      Bernoulli’s eqn., contd. Yousuff Aerodynamics 4       2 2 2 1 1 1 1 1 1 ,, 2 2 2 du dv dw       incompressible flow:
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Laplace ‘s Equation Yousuff Aerodynamics 5 irrotational flow Since for an irrotational flow and since for an incompressible flow , one gets 0  V for any incompressible, irrotational flow, the velocity potential satisfies the Laplace’s eqn.
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4 - PerfectFluid - MEM420Aerodynamics Dr.A.Yousuff...

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