In flow measurement systems venture tubes (depicted below) is commonly used due to its advantage ...

In flow measurement systems venture tubes (depicted below) is commonly used due to its advantage over orifice or nozzle type transducers. Venturi tubes has streamlining and reduced turbulence thus it provides less steady-state pressure loss of the flow system. AP Figure 1. Venturi Tube The volume flow through a venturi tube can be expressed as Qv CMA22g(P1 - P2)/a m3/s, where C is a constant depending on fluid properties, P1,P2 are pressures at the measurement points. α is specific weight of the fluid and g is the gravitational acceleration. Ai and Az are the areas of the tube where the M- pressure measurements are taken. M is a coefficient which is described as -(Ar/A)? a) Explain why Pi and P2 are different than each other. Consider that fluid is incompressible so fluid density is constant everywhere in the tube. b) Draw the relationship of Qvand Az keeping all the other parameters constant. c) What is Qv when A2:0, Аг=A1 and A2>A1. ( Hint: take into account that, P is a function the fluid velocity and Qvis directly related with velocity.). Discuss especially case of A2>Ai, how does the formula change?