The static pressure in a horizontal pipeline is 4.3 x 10^4 Pa, the total pressure is 4.7 x 10^4 Pa, and the area of cross-section is 20cm^2. The fluid may be considered to be incompressible and non-viscous and has a density of 10^3 kg/m^3. Calculate (i) the flow velocity in the pipeline, (ii) the volume flow rate in the pipeline.

1 answer

The difference between the total pressure and the static pressure (which is what you measure with a standard Pitot tube), is (1/2)(rho)V^2.
"rho" is the density of the fluid.

(i) Use that equation to solve for the flow velocity, V. Assume it is constant across the cross section, (even through it will be less in wall boundary layers)
(ii) The volume flow rate is the product of V and the cross sectional area A, which will have to me in square meters if you want the flow rate in m^3/s.