This is a preview of subscription content, log in via an institution to check access.
Literature cited
P. J. R. Strange and D. G. Crighton, “Spinning modes on axisymmetric jets. Part 1,” J. Fluid Mech.,134, 231 (1983).
I. Wygnanski, F. Champagne, and B. Maraskli, “On the large-scale structures in two-dimensional, small-deficit, turbulent wakes,” J. Fluid Mech.,168, 31 (1986).
V. N. Varapaev, Yu. M. Shtemmler, and V. I. Yagodin, “The influence of nonparallelism on the stability of a Bickley-Schlichting jet,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaz., No. 6 (1976).
C. H. Ling and W. C. Reynolds, “Nonparallel flow correction for the stability of shear flows,” J. Fluid Mech.,59, No. 3 (1973).
V. K. Garg, “Spatial stability of the nonparallel Bickley jet,” J. Fluid Mech.,102, 127 (1981).
H. Schlichting, Boundary Layer Theory [Russian translation], IL, Moscow (1956).
A. Villu, “An experimental determination of the minimum Reynolds number for instability in a free jet,” J. Appl. Mech.,29, No. 3 (1962).
A. J. Reynolds, “Observation of a liquid-into-liquid jet,” J. Fluid Mech.,14, No. 4 (1962).
G. K. Batchelor and A. E. Gill, “Analysis of the stability of axisymmetric jets,” ibid.
A. E. Gill, “On the occurrence of condensation in steady axisymmetric jets,” ibid.
M. Lessen and P. J. Lingh, “The stability of axisymmetric free shear layers,” ibid.,60, No. 3 (1973).
J. C. Mollendorf and B. Gebhart, “An experimental and numerical study of the viscous stability of a round laminar vertical jet with and without thermal buoyancy for symmetric and asymmetric disturbances,” ibid.,61, No. 2 (1973).
P. J. Morris, “The spatial viscous instability of axisymmetric jets,” ibid.,77, No. 3 (1976).
G. E. Mattingly and C. C. Chang, “Unstable waves on an axisymmetric jet column,” ibid.,65, No. 3 (1974).
V. A. Sapozhnikov, “Solution of the eigenvalue problem for ordinary differential equations by the sweeping methods,” in: Transactions of the All-Union Seminar on Numerical Methods in the Mechanics of a Viscous Fluid, Novosibirsk, Nauka (1969).
M. A. Gol'dshtik and V. N. Shtern, Hydrodynamic Stability and Turbulence [in Russian], Nauka, Novosibirsk (1977).
A. Davey and P. G. Drazin, “The stability of Poiseuille flow in a pipe,” J. Fluid Mech.,36, No. 2 (1969).
O. A. Likhachev, “The spectrum of small flow perturbations in the boundary layer on a flat plate,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1975).
A. G. Sleptsov, “Estimating eigenvalues in studying the stability of a boundary layer,” ChMMSS,5, No. 5 (1974).
W. C. Reynolds and A. K. M. F. Hussain, “The mechanics of an organized wave in turbulent shear flow. Part 3. Theoretical models and comparisons with experiments,” J. Fluid Mech.,54, No. 2 (1972).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 118–124, July–August, 1990.
Rights and permissions
About this article
Cite this article
Likhachev, O.A. Analysis of stability in a self-similar circular jet with consideration of the nonparallel effect. J Appl Mech Tech Phys 31, 621–626 (1990). https://doi.org/10.1007/BF00851340
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00851340