ISSN:
0001-1541
Keywords:
Chemistry
;
Chemical Engineering
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
,
Process Engineering, Biotechnology, Nutrition Technology
Notes:
Pressure drops were measured for the high velocity isothermal viscous flow of steam in circular tubes. For the velocities tested, up to 0.48 times the isothermal sonic velocity, these flows obeyed the following equation with an average deviation of 2.4%. \documentclass{article}\pagestyle{empty}\begin{document}$$ P_1 2 - P_2 2 = \frac{{8\mu RTG}}{{DM}}\left[{\frac{{8L}}{D} + \frac{{N_{{\mathop{\rm Re}\nolimits} } }}{3}In\left({\frac{{P_1 }}{{P_2 }}} \right)} \right] $$\end{document}This equation differs from the Poiseuille-Meyer equation commonly used to correlate isothermal viscous flow in that it includes the term (NRe/3) In (P1/P2) which accounts for the change in momentum caused by expansion. In deriving this equation, the mean velocity, mean squared velocity, and wall shear stress were obtained from the parabolic velocity distribution for normal viscous flow. The velocity profile should flatten as the isothermal Mach number increases, and it is therefore anticipated that somewhere above the range tested the equation will no longer prove applicable. Variants of the equation, which take into account the flattening of the velocity profile in the range tested, did not fit the experimental data quite as well.
Additional Material:
4 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/aic.690160514
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