Copyright by Dr.Zheyan Jin Chapter 3 Fundamentals of Inviscid,Incompressible Flow 3.3 Laplace's Equation The general approach to the solution of irrotational,incompressible flows can be summarized as follows: 1.Solve Laplace's equation for or w along with the proper boundary conditions. 2.Obtain the flow pressure from V=or u=du/dy v=-dy/x 3.Obtain the pressure from Bernoulli's equation, 1 p+pV2=P.+pV2 2 Where P and are known freestream conditions. Copyright by Dr. Zheyan Jin Chapter 3 Fundamentals of Chapter 3 Fundamentals of Inviscid Inviscid, Incompressible Flow , Incompressible Flow 3.3 Laplace’s Equation 1. Solve Laplace’s equation for Φ or ψ along with the proper boundary conditions. 2. Obtain the flow pressure from The general approach to the solution of irrotational, incompressible flows can be summarized as follows: V    u   / y v    / x  2 2 2 1 p 2 1 p   V     V p  V or 3. Obtain the pressure from Bernoulli’s equation, Where and are known freestream conditions