Abstract
Laminar-to-turbulent transition can occur through several mechanisms, such as in linear instability, bypass transition, Gortler instability, and cross-flow instability. For more discussion of this issue see Bushnell et al. (1988), Gortler (1965), Dagenhart et al. (1989, 1990), and Saric and Benmalek (1991). The most widely used tool for predicting transition is the so-called e N method, which is discussed in chapter 3. The e N method is based on the linear stability theory, which is discussed in this chapter.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bechert, D. and Pfizenmaier, E., 1975, “On Wave-Like Perturbations in a Free Jet Travelling Faster than the Mean Flow in the Jet,” J. Fluid Mech., vol. 72, p. 341.
Bushnell, D.M., Malik, M.R., and Harvey, W.D., 1988, “Transition Predictions in External Flows Via Linear Stability Theory,” IUTAM Symposium Transonicom II, Gottingen, West Germany, May 24–27, 1988.
Dagenhart, J.R., Stack, J.P., Saric, W.S., and Mousseux, M.C., 1989, “Crossflow-Vortex Instability and Transition on a 45 deg Swept Wing,” AIAA Fluid Dynamics, Plasma Dynamics, and Lasers Conference, 20th, Buffalo, NY, Feb. 12–14, 1989.
Dagenhart, J.R., Saric, W.S., Hoos, J.A., and Mousseux, M.C., 1990, “Experiments on Swept-Wing Boundary Layers in Laminar-Turbulent Transition,” Proceedings of the IUTAM Symposium, Toulouse, France, Sept. 11–15, 1989. Springer-Verlag, Berlin and New York.
Gortler, H., 1965, “Dreidimensionales zur Stabilitäts Theorie Laminarer Grenzschichten,” ZAMM, vol. 35, pp. 362–363.
Jackson, T. L. and Grosch, C.E. 1989, “Inviscid spatial stability of a compressible mixing layer,” J. Fluid Mech., vol. 208, p. 609.
Lesieur, M., 1990, “Turbulence in Fluids, 2nd edition, Kluwer Academic Publishers, Dordrecht/Boston/London.
Lin, C.C., 1955,The Theory of Hydrodynamic Stability, Cambridge University Press.
Mack, L.M., 1965, “Computation of the Stability of the Laminar Boundary Layer,” Methods in Computation Physics (B. Alder, S. Fernback, and M. Rotenberg, eds.), vol. 4, pp. 247–299, Academic, New York.
Mack, L.M., 1977, “Transition and Laminar Instability,” Jet Propulsion Laboratory Publication 77–15, Pasadena, California.
Mankbadi, R.R. and Liu, J.T.C., 1981, “A Study of the Interactions Between Large-Scale Coherent Structure and Fine-Grained Turbulence in a Round Jet,” Philos. Trans. Roy. Soc. London Ser. A vol. 298, pp. 241–602.
Michalke, A., 1971, “Instabilitat eines Kompressiblen rundem Freistahls inter Beruck-sichtingung des Einflusses der Strahlgrenzschichtdicke,” Z. Flugwiss, vol. 19, p. 317.
Rayleigh, Lord, 1913, “On the Stability of the Laminar Motion of an Inviscid Fluid,” Scientific Papers, vol. 6, pp. 197–204, Cambridge University Press, Cambridge, UK.
Sandham, N. D. and Reynolds, W.C. 1989, “The compressible mixing layer: linear theory and direct simulation,” AIAA Paper No. 89–0371.
Saric, W.S. and Benmalek, A., 1991, “Gortler Vortices With Periodic Curvature,” Boundary Layer Stability and Transition to Turbulence. Proceedings of the Symposium, ASME & JSEM Joints Fluid Engineering Conference, 1st, Portland, OR, Feb. 23–27, 1991.
Schlichting, H., 1979, Boundary Layer Theory, Seventh Edition, McGraw-Hill, New York.
Squire, H.B., 1933, “On the Stability for Three-Dimensional Disturbances of Viscous Flow Between Parallel Walls,” Proc. R. Soc. Lond. A„ vol. 142, pp. 621–628.
Tollmien, W., 1931, “Uber Entstehung der Turbulenz,” I. Mitteilung Nachr. Ges. Wiss. Gottinyen, Math. Phys. Klasse, 21–44 (1929), NACA TM-609.
Zhuang, M., Kubota, T. and Dimotakis, P. E. 1988, “On the instability of inviscid compressible free shear layers,” AIAA Paper No. 88–3538.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media New York
About this chapter
Cite this chapter
Mankbadi, R.R. (1994). Linear Stability Theory. In: Transition, Turbulence, and Noise. The Springer International Series in Engineering and Computer Science, vol 282. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2744-2_2
Download citation
DOI: https://doi.org/10.1007/978-1-4615-2744-2_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-7923-9481-5
Online ISBN: 978-1-4615-2744-2
eBook Packages: Springer Book Archive