Abstract
This paper is devoted to checking whether the critical Reynolds number is universal in identical conditions for the flow of different fluids. The laminar-turbulent transition in a circular pipe flow has been tested experimentally. The flows of inert gases (He, Ne, Ar, Kr, Xe), molecular gases (N2, CO, CO2, SF6), and two similar liquids (H2O, D2O) have been tested. A considerable, up to 40%, difference in critical Reynolds numbers was observed. The possible reasons for nonuniversality of the critical Reynolds number are discussed.
Similar content being viewed by others
References
O. Reynolds, Philos. Trans. R. Soc. London 174, 935 (1883).
G. Hagen, Pogg. Ann. 46, 423 (1839).
J. Poiseuille, C. R. Hebd. Seances Acad. Sci. 11, 961 (1840); 12, 112 (1841).
L. Prandtl and O. Tietjens, Hydro-und Aeromechanik (Verlag von Julius Springer, Berlin, 1931).
J. A. Fox, M. Lessen, and W. V. Bhat, Phys. Fluids 11, 1 (1968).
H. Salwen, F. W. Cotton, and C. E. Grosch, J. Fluid Mech. 92, 273 (1980).
O. A. Nerushev and S. A. Novopashin, Phys. Lett. A 232, 243 (1997).
O. A. Nerushev and S. A. Novopashin, Pis’ma Zh. Éksp. Teor. Fiz. 64, 47 (1996) [JETP Lett. 64, 47 (1996)].
S. A. Novopashin and A. Muriel, Pis’ma Zh. Éksp. Teor. Fiz. 68, 557 (1998) [JETP Lett. 68, 582 (1998)].
S. A. Novopashin and A. Muriel, Pis’ma Zh. Tekh. Fiz. 26(6), 18 (2000) [Tech. Phys. Lett. 26, 231 (2000)].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Pergamon, Oxford, 1980), Part 1.
H. N. V. Temperlley, J. S. Rowlinson, and G. S. Rushbrooke, Physics of Simple Liquids (North-Holland, Amsterdam, 1968).
A. Muriel, Physica D (Amsterdam) 124, 225 (1998).
A. Groisman and V. Steinberg, Nature 405, 53 (2000).
X. de Hemptinne, Non-Equilibrium Statistical Thermodynamics (World Sci., Singapore, 1992).
Author information
Authors and Affiliations
Additional information
From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 122, No. 2, 2002, pp. 306–309.
Original English Text Copyright © 2002 by Novopashin, Muriel.
This article was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Novopashin, S., Muriel, A. Is the critical Reynolds number universal?. J. Exp. Theor. Phys. 95, 262–265 (2002). https://doi.org/10.1134/1.1506433
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1506433