Copyright by Dr.Zheyan Jin Chapter 3 Fundamentals of Inviscid,Incompressible Flow 3.1 Bernoulli's Equation Consider the streamline in three-dimensional space: wdy-vdz=0 udz-wdx=0 vdx-udy =0 ou dxu u ou dyu =-1pk We can further change Ox ay 0z pox this equation: ou dxy ou dy* db)=-12dh pOx The differential of u is: du= ou dx 8 ou dy aud也 oy dz The equation can be 1 written as: udu =-d(u2)=-- 1卫k 2 pox Copyright by Dr. Zheyan Jin Chapter 3 Fundamentals of Chapter 3 Fundamentals of Inviscid Inviscid, Incompressible Flow , Incompressible Flow 3.1 Bernoulli’s Equation The differential of u is: Consider the streamline in three-dimensional space: dx x p dz z u dy y u dx x u u dx x p dz z u dy y u dx u x u u                           1 ( ) 1 u dz z u dy y u dx x u du          dx x p udu d u       1 ( ) 2 1 2 We can further change this equation: wdy  vdz  0 udz  wdx  0 vdx  udy  0 The equation can be written as :