Difference between revisions of "Gray correlation"

Revision as of 12:20, 4 April 2017

Following the law of conservation of energy the basic steady state flow equation is:

144 \frac{\Delta p}{\Delta h} = [\rho_g H_g + \rho_L (1-H_g)] + \rho_m \frac{f v_m^2 }{2 g_c D} + \rho_m \frac{\Delta{(\frac{v_m^2}{2g_c}})}{\Delta h}

^[1]

Colebrook–White ^[2] equation for the Darcy's friction factor:

\frac{1}{\sqrt{f}}= -2 \log \left( \frac { \varepsilon} {3.7 D} + \frac {2.51} {\mathrm{Re} \sqrt{f}} \right)

^[3]

Reynolds two phase number:

Re = 2.2 \times 10^{-2} \frac {q_L M}{D \mu_L^{H_L} \mu_g^{(1-H_L)}}

To find H_g calculate:

↑ ^1.0 ^1.1 Gray, H. E. (1974). "Vertical Flow Correlation in Gas Wells". User manual for API 14B, Subsurface controlled safety valve sizing computer program. API.
↑ Colebrook, C. F. (1938–1939). "Turbulent Flow in Pipes, With Particular Reference to the Transition Region Between the Smooth and Rough Pipe Laws". Journal of the Institution of Civil Engineers. London, England. 11: 133–156.
↑ Moody, L. F. (1944). "Friction factors for pipe flow". Transactions of the ASME. 66 (8): 671–684.

@@ Line 32: / Line 32: @@
   |date= 1974
 }}</ref>
+<ref name=Colebrook>{{cite journal
+ |last1=Colebrook|first1=C. F.
+ |title=Turbulent Flow in Pipes, With Particular Reference to the Transition Region Between the Smooth and Rough Pipe Laws
+ |journal=Journal of the Institution of Civil Engineers
+ |date=1938–1939
+ |volume=11
+ |pages=133–156
+ |location=London, England
+ |url=https://www.scribd.com/doc/269398414/Colebrook-White-1939
+ |url-access=subscription
+}}</ref>
+<ref name = Moody1944>{{cite journal
+ |first=L. F.
+ |last=Moody
+ |title=Friction factors for pipe flow
+ |journal=Transactions of the ASME
+ |volume=66
+ |issue=8
+ |pages=671–684
+ |year=1944
+ |url=https://www.onepetro.org/journal-paper/SPE-2198-PA
+ |url-access=subscription
+}} </ref>
 </references>