Pumps:Pipe and Duct Flow 2 often include pumps (or fans)and heat exchangers can have significant PE and KE changes Heater Pump or Fan Qloss pumps for liquids (water),fans for gases SSSF,Mass/Energy Balances =PA V=PA2V2 0-旷m-w+- Special Case: incompressible,adiabatic,isothermal flow,without work △h=A°+p4w°+vp=v4p n-）+Y,Y+g5-）-0 ***Bernoulli's Equation*** 2 上游充通大学 April 5,2018 7 SHANGHAI JIAO TONG UNIVERSITYApril 5, 2018 7 Pumps: Pipe and Duct Flow 2 Qin • often include pumps (or fans) and heat exchangers • can have significant PE and KE changes pumps for liquids (water), fans for gases Pump or Fan 1 Heater Qloss CV Win SSSF, Mass/Energy Balances Special Case: incompressible, adiabatic, isothermal flow, without work 2 2 2 1 2 1 2 1 V -V ( ) ( ) 0 2 v p p g z z      m     1 1 1 A V A V 2 2 2    h u 0  p v 0     v p v p 2 2 1 2 1 2 1 2 V -V 0 ( ) ( ) 2 Q W m h h g z z              ***Bernoulli’s Equation*** 0 0