A manometer is installed across a flow device in a tube of d

A manometer is installed across a flow device in a tube of diameter D. Derive the pressure force acting on surfaces the flow device. Assume no viscous shear stress at the tube wall. Hint, pressure force is due to the ?P across the flow device in the tube.

A manometer is installed across a flow device in a tube of diameter D. Derive the pressure force acting on surfaces the flow device. Assume no viscous shear stress at the tube wall.

Solution

We know Presuure = density * g* height. Therefore By pascals law,

P_a + Density₁*g*(h+L) = P_b+ Density₁*g*L + Density₂*g*h

So, Pressure force = Presuure * Area of cross section

Pressure force at a= Presuure at a * Area of cross section

Pressure force at b = Presuure at b * Area of cross section