Copyright by Dr.Zheyan Jin Chapter 3 Fundamentals of Inviscid,Incompressible Flow 3.3 Laplace's Equation Continuity equation: +v.pV=0 t For incompressible flow,p =constant ap=0、 e(pV)=pv.V at 7.V=0 币=V中 For irrotational flow: 7·(V)=0 7b=0 Laplace's equation.Solutions of Laplace's equation are called harmonic functionsCopyright by Dr. Zheyan Jin Chapter 3 Fundamentals of Chapter 3 Fundamentals of Inviscid Inviscid, Incompressible Flow , Incompressible Flow 3.3 Laplace’s Equation Laplace’s equation. Solutions of Laplace’s equation are called harmonic functions. For incompressible flow, ρ=constant V 0 0 V V t                  （ ） V 0 t          0 ( ) 0 2           V   For irrotational flow: Continuity equation: