Two-Phase Parahydrogen Friction Factor

  • J. D. Rogers
Conference paper
Part of the Advances in Cryogenic Engineering book series (ACRE, volume 9)


A method of Interpolation for Φ, the two-phase “friction factor” was developed by Martinelli and Nelson [1]. No considerable improvement over this technique has heretofore been developed and there is a need for better estimates of pressure drop for two-phase systems at pressures above 1 atm. This paper presents a solution to the problem for para-hydrogen for flow with both phases turbulent, based upon the pressure drop for liquid as the single phase.


Pressure Drop Friction Factor Critical Pressure Pressure Derivative Intermediate Pressure 
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  1. 1.
    R. C. Martinelfi and D. B. Nelson, Trans. ASME, 70, 695 (1948).Google Scholar
  2. 2.
    R. C. Martinelli, L. M. K. Boelter, T. H. M. Taylor, E. G. Thomsen. and E. H. Morrin, Trans. ASME, 66, 139 (1944).Google Scholar
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    R. W. Lockhart and R. C. Martinelli, Chem. Engr. Prog. 45, 39 (1949).Google Scholar
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    R. D. Goodwin, D. E. Diller, H. M. Roder, L. A. Weber, and B. A. Younglove, “Fifth Prog. Report to NASA on Cryogenic Research and Development for Period Ending March 31, 1962,” Rept. NBS-7246, Boulder, Colo.Google Scholar
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    J. D. Rogers, R. K. Zeigler, and P. McWilliams, Los Alamos Scientific Laboratory Reports LA-2527 (1961), LA-2719 (1962)Google Scholar
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    J. D. Rogers, R. K. Zeigler, and P. McWilliams, J. Chem. Engt. Data, 7, 179 (1962).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1964

Authors and Affiliations

  • J. D. Rogers
    • 1
  1. 1.Los Alamos Scientific LaboratoryUniversity of CaliforniaLos AlamosUSA

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