Head flowmeters in closed conduits

Equation 1.15 is the modified Bernoulli equation for steady flow in a pipe with no pump in the section. 

For the steady horizontal flow of an incompressible fluid of density p between points 1 and 2 in a pipe with no pump and no friction, equation 1.15 can be written as 

For this case the principle of continuity can be expressed by any of the following three equations. 

Using equation 8.7, the volumetric flow rate is given by 

Equation 8.10 gives the volumetric flow rate Q when there is no friction in the system. 

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