Conservation of Energy for Ideal fluid Recall the standard work-energy relation W=AK Apply the principle to a section of flowing fluid with volume 8V and mass Sm= psV(here W is work done on fluid W=W ravity Pressure y2 gravity=-om g(y2-y1) pavg(y2-y1) SV lese=p1y-P242∞2 (p1-p2)8v W=Ak=1,mvi,=pov(v2-v) Bernoulli Equation p,+pVi+pgy,=p2+2pv2+pgy2 Physics 121: Lecture 21, Pg 9Physics 121: Lecture 21, Pg 9 Recall the standard work-energy relation Apply the principle to a section of flowing fluid with volume dV and mass dm =  dV (here W is work done on fluid) ( p p ) V W p A x p A x 1 2 pressure 1 1 1 2 2 2 d d d = − = − Vg( y y ) W m g( y y ) 2 1 gravity 2 1 = − − = − −  d d W K mv mv V(v v ) 2 1 2 2 2 2 1 2 1 2 1 2 2 1 =  = d − d =  d − 2 2 2 2 1 1 2 2 2 1 1 Bernoulli Equation p1 +  v + gy = p +  v + gy y 1 y 2 v 1 v 2 p 1 p 2 dV W =Wgravity +Wpressure W = K Conservation of Energy for Ideal Fluid