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Continuity equation:

 
 

This equation is based on the law of conservation of mass. For a fluid flowing through the pipe having single inlet and single outlet, the flow rate of fluid at all the cross sections is constant.

i.e. mass flow rate at inlet = mass flow rate at outlet

(ρ A V)inlet = (ρ A V)outlet

 

If the fluid is incompressible then

(A V)inlet = (A V)outlet

 

Where ‘A’ is Area of cross section, ‘V’ is Velocity of fluid and ‘ρ’ is density of fluid.

 
   

 

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