Exit Loss of Compressible Fluid

Since the diameter change is quite huge 2.4/0.0015 it is safe to say that all the dynamic head of the fluid will be lost.

Dynamic head = 0.5 * density * (velocity)^2

Assuming 20 deg C temperature,

Density = 3.21 kg/m^3

Pressure loss = 924.5 Pa

For power loss you need to multiply this by the discharge

Power loss = Discharge * Pressure loss

= 39 mW

That was a 5 minute answer, you might want to check the numbers but the assumption of all dynamic head lost is widely accepted.

Thanks for prompt reply but i have done the calculation by following method:-

Head loss = (1 - A1/A2)^2 * (v^2)/2*g

where A1 - cross sectional area for smaller pipe

A2- C/S for bigger diameter

g- acceleration due to gravity - 9.81 m/s^2

= 24^2/2*9.81

=29.35 meter head loss i.e exit loss or sudden expansion

please comment on above mentioned methodology.

Just need some clarifications, is this

1) a large pipe discharging into a small one ?

or

2) a small pipe discharging into a large one?

are you looking at

1) static pressure loss

2) total pressure loss

In my answer, I had assumed 2 and 2 above.

My calculation is also based on 2 -2 as calculated by you.My calculation tells that if velocity of chlorine gas is 24 meter per second in 1.5 mm diameter pipe and it is discharging to bigger diameter vessel having 2400 mm diameter then head loss due to sudden expansion will be 29 meter.In that case i need to increase upstream pressure to the chlorine header so that desired flow can be possibe from 1.5 mm diameter tube.

your calculation is right.

just a note that this is 29 metres of a chlorine gas column

thanks,

yes it is chlorine gas column.