Module 7: Energy conservation
  Lecture 19: Mechanical energy balance
 
 
  • If  (stagnant fluid) there is no surface work,  
  •  is the shaft- work, for example, due to a turbine or a pump or blower, which delivers energy to the fluid or vice-versa.  if the machine is turbine
   if the machine is pump or blower
  •  can also be written as
      
 
Note that  is zero if
  •  (inviscid fluid)
  •  (tangential velocity) = 0
  •    (choice of CS)
The general energy-balance equation can be re-arranged to obtain the following expression for a CV:

The terms of the equation are accumulation, conduction, shaft-work, viscous work, and energy efflux across CS,  including pressure-energy                                                           . 
For most engineering applications of steady-state, two–port system (one inlet and one outlet), uniform flow over the ports (1-D flow), and  being perpendicular to CS (by a suitable choice), one can obtain the following expression for energy- conservation: