Quote - 25362 (Chemical) 13 Dec 09 12:08
Allow me to be the devil's advocate when referring to some special cases.
Pressure drop is admitedly proportional to the friction factor [f] multiplied by velocity squared [V2], and since [f] is sometimes proportional to Re-0.2, as for water flowing through tube banks, the resulting pressure drop is proportional to V1.8.
Any comments ?- Unquote
Yes, I disagree.
After 30+ years of having used the likes of Cameron Hydraulic data and other friction charts for asphalt-dipped cast iron and new steel pipe to give a good approximation of the friction loss, do I now find out that I and a couple of the worlds leading pump companies for whom I have worked have also been wrong all this time.
For example, a random number of selections from the above tables which shows that head increases near enough to Q2/Q1^2 , There is a slight variance but guess this variations is the roughness factors / pipe diameter etc playing their part.
1000 GPM 6” sch 40# pipe = 6.23 ft/100
2000 GPM 6” sch 40# pipe = 24.1 ft/100
3000 GPM 18” sch 40# pipe = 0.294 ft /100
6000 GPM 18” sch 40# pipe = 1.11 ft / 100
70 000 GPM 72” pipe =0.137 ft / 100
140 000 GPM 72” pipe =0.419 ft /100
The above of course is based on standard water at 60F etc.
If talking about fluids other than water there is more to consider than just the change of system head losses due to an increase of pump speed, which I will leave to others more experienced to comment on.
Just for interest, when pumping paper stocks below 6% AD the water friction tables can be used, but once a certain velocity is reached (depending on pulp type, consistency etc)the friction loss drops below that of water.