Question

DESCRIPTION: The total pressure of a flow decreases along a streamline due to losses associated with non-ideal affects. These losses can be broken into major and minor total pressure losses. In this experiment, the major and minor total pressure losses through a pipe outfitted with a gate valve will be determined using pressure taps drilled into the pipe surface. The total pressure losses will be used to calculate the flow's friction factor and the valve's loss coefficient for a variety of flow rates and valve positions. Figure 1 is a diagram of the pipe configuration used in the experiment with labeled geometric parameters. p3 P: P2 Pdiff: Paista L. L3 Figure 1: Schematic of a pipe flow setup with relevant dimensions labeled. Water with a flow rate Q will be supplied to the system by a pump and recorded using a flowmeter attached upstream of the system. Pressure transducers attached to the pressure taps will record the static pressure difference Paiff.1 between Position 1 and Position 2 and the static pressure difference Parf.2 between Position 2 and Position 3. Known Parameters: The following information is known about the system: L : 24.25 in L2:25.25 in D: 0.302 in €: 0.00108 in

theres no further information given, just more things to derive. Thanks for trying i guess?

Answer 1

P R Р 오 ob steady state 2 2g thu P2 i La Applying Berroullis Equation (Energy, conservation Equation for condition) As there is no mass or energy accumulation Pitvi² R sg ard P3 tki sgt zg Pg zg ther Kl = valve coefficient and a = A, v = Azk AzV2 as the pipe is uriform A1 - A2 = As so, putting in equation ? P2-23)+(13) 89 - hf2 = ku 29 + V22 + ord he, -f(5) 29 - fPaffl) Pdff2 22 ² V₂² t => ķ= => K = 2 Party vs) - 1669** M = 2g| 17 - f(b)- KL Es le 9) ** (21-f69 2 - 1 (b) = KL (h Paff) +1 V

* = A bet y 42" (638-16 is Paff2 TD 802 . As we see the loss Coefficient is propotional to the square of the velocity. And as the flow rate increases ( 0) inerears thus velocity must also increase. Frentually the lost coefficient increases. But if the flow beyond pass a certain limit, ard reaches turbulenu Jone it increase noise ard vibration which also decreases the overall flow,