Simple procedures using charts for predicting friction/pressure gradients during turbulent-turbulent flow in pipes and the pressure changes over bends, changes of section, and valves are presented. For friction/pressure gradients comparison is made with the procedures of Baroczy, Lockhart and Martinelli, Martinelli and Nelson, Collier, Becker et al., and Thom.
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References
1.
BaroczyC. J.‘Correlation of liquid fraction in two-phase flow with application to liquid metals’, NAA-SR-81711963 (Atomics International, Canoga Park, California).
2.
AndeenG. B.GriffithP.‘Momentum flux in two-phase flow’, J. Heat Transfer196890 (2), 211.
3.
BrownF. C.KranickW. L.‘A model for the prediction of velocity and void fraction profiles in two-phase flow’, A.I.Ch.E. Jl196814 (5), 750.
4.
ChisholmD.‘Prediction of pressure losses at changes of section, bends and throttling devices’, in Designing for two-phase flow: Report of a meeting at N.E.L., 17th January 1968, part IV; N.E.L. Rept No. 3881969 (National Engineering Laboratory, East Kilbride, Glasgow).
5.
SherwoodT. K.SnipleyG. H.HollowayF. A. L.‘Flooding velocities in packed columns’, Ind. Engng Chem.193830 (7), 765.
6.
LockhartR. W.MartinelliR. C.‘Proposed correlation of data for isothermal two-phase, two-component flow in pipes’, Chem. Engng Prog.194945 (1), 29.
7.
ChisholmD.‘The flow of incompressible two-phase mixtures through sharp-edged orifices’, J. mech. Engng Sci.19679 (1), 72.
8.
ChisholmD.‘Theoretical aspects of pressure changes at changes of section during steam-water flow’, N.E.L. Rept (National Engineering Laboratory, East Kilbride, Glasgow). (To be published.).
9.
ChisholmD.‘The influence of mass velocity on friction pressure gradients during steam-water flow’, Thermodynamics and Fluid Mechanics Conv., Proc. Instn mech. Engrs1967–68182 (Pt 3H), 336.
10.
FerrelJ. K.McGeeJ. W.‘Two-phase flow through abrupt expansions and contractions’, T.I.D.-23394, vol. 3, 1966 (Department of Chemical Engineering, North Carolina State University, Rayleigh, N.C.).
11.
McGeeJ. W.Two-phase flow through abrupt expansions and contractions1966, No. 12, 931 (University Microfilms Inc., Ann Arbor, Michigan).
12.
GeigerG. E.RohrerW. M.‘Sudden contraction losses in two-phase flow’, J. Heat Transfer19662, 1.
13.
GermakJ. O.JichaJ. J.LightnerR. G.‘Two-phase pressure drop across vertically mounted thick plate restrictions’, A.S.M.E. Paper No. 63-HT-11, 1963 (Am. Soc. Mech. Engrs, New York).
14.
JanssenE.‘Two-phase pressure loss across abrupt contractions and expansions, steam-water at 600 and 1400 p.s.i.a.’, Proc. Third Int. Heat Transfer Conf. 19665, 13 (Am. Inst. Chem. Engrs, New York).
15.
ChisholmD.LeishmanJ.‘The metering of wet steam’, Chem. Process Engng. (To be published.).
16.
FitzsimmonsD. E.‘Two-phase pressure drop in piping components’, HW—80970, Rev. 11964 (General Electric Hanford Laboratories, Richland, Washington).
17.
ChisholmD.‘Flow of compressible two-phase mixtures through throttling devices’, Chem. Process Engng196748 (12), 73.
18.
ChisholmD.‘Calculate pressure losses in bends and tees during steam-water flow’, Engng Boil. House Rev.196782 (8), 235.
19.
ThomJ. R. S.‘Prediction of friction pressure gradients during two-phase flow’, in Designing for two-phase flow: Report of a meeting at N.E.L., 17th January 1968, part III; N.E.L. Rept No. 387 1969 (National Engineering Laboratory, East Kilbride, Glasgow).
20.
MiropolskhE. L.ShitsmanM. E.ShneerovaR. I.‘Influence of heat flux and velocity on hydraulic resistance with steam-water flowing in tubes’, Thermal Engng196512 (5), 80.
21.
ChisholmD.LairdA. D. K.‘Two-phase flow in rough tubes’, Trans. Am. Soc. mech. Engrs195880 (2), 276.
ChisholmD.‘Friction pressure gradient during the flow of boiling water’, Engng Boil. House Rev.196378 (8), 287.
24.
MartinelliR. C.NelsonD. B.‘Prediction of pressure drop during forced circulation boiling of water’, Trans. Am. Soc. mech. Engrs194870 (6), 695.
25.
CollierJ. G.‘Two-phase pressure gradient—1’, A.E.R.E.—RS/L2071965 (Atomic Energy Research Establishment, Harwell).
26.
BeckerK. M.HernborgG.BoneM.‘An experimental study of pressure gradients for flow of boiling water in vertical round ducts’, Rept No. AE-701962 (Aktiebologet Atomenergie, Stockholm).
27.
McMillanH. K.FontaineW. E.ChaddockJ. B.‘Pressure drop in isothermal two-phase flow—a modification of the Lockhart-Martinelli correlation’, A.S.M.E. Paper No. 64–WA/FE-4, 1964 (Am. Soc. Mech. Engrs, New York).
28.
McMillanH. K.‘A study of flow patterns and pressure drop in horizontal two-phase flow’, Ph.D. Thesis, 1963 (Purdue University).
29.
SieglaD. C.‘Two-phase flow as related to condensation processes’, M.Sc. Thesis, 1961 (Purdue University).
