Mechanics of Solids and Fluids


   
 
Equations of Continuity
 
Consider a non-viscous liquid in streamline flow through a tube AB, of varying cross-section. Let A1 and A2 be the area of cross-section at A and B respectively.
 
The volume of water entering A per second = A1V1
 
Volume = Area x distance
 
 
 
where V1 is the velocity of the flow of liquid at A
 
 
Assuming there is no loss of liquid in tube and for free steady flow,
 
Mass of liquid entering per second at A
 
= Mass of liquid leaving per second at B
 
 
 
or AV = constant.
 
This is the equation of continuity.
 
 
 
     
   
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