The modulation equations for the asymptotic suction velocity profile and the Ekman boundary layer

Studies in Applied Mathematics

Volumn 96, Issue 2, 1996, Pages 163-181

  Dwarka, Pankaj R ^a   Herron, Isom H ^b  

^a HOWARD UNIVERSITY   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; EIGENVALUES AND EIGENFUNCTIONS;

ASYMPTOTICS; EIGEN-VALUE; EKMAN BOUNDARY LAYERS; LINEARIZED STABILITY; MODULATION EQUATIONS; ORR-SOMMERFELD EQUATIONS; STABILITY EQUATIONS; SUCTION VELOCITY; VELOCITY PROFILES;

PARALLEL FLOW;

EID: 0042860132     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1002/sapm1996962163     Document Type: Article

References (10)

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2. P. R. DWARKA, On the Nonlinear Stability of a Nearly Parallel and a Non Unidirectional Flow, Ph.D. thesis, Howard University, Washington, DC, 1993.
3. I. H. HERRON, in Spectral Theory of Differential Operators (I. W. Knowles and R. T. Lewis, Eds.), Vol. 55, p. 211, North-Holland, Amsterdam, 1984.
4. I. H. HERRON, Expansion problems in the linear stability of boundary layer flows, Adv. Appl. Math. 4:260 (1983).
5. L. M. HOCKING, Non-linear instability of the asymptotic suction velocity profile, Quart. J. Mech. Appl. Math. 23:341 (1975).
6. G. IOOSS, H. B. NIELSON, and H. TRUE, Bifurcation of the stationary Ekman flow into a stable periodic flow, Arch. Rat. Mech. Anal. 68:227 (1968).
7. D. K. LILLY, On the instability of Ekman boundary flow, J. Atmos. Sci. 23:481 (1966).
8. M. MIKLAVCIC, Eigenvalues of the Orr-Sommerfeld equation, Differential Integral Equations 4:731 (1991).
9. H. SALWEN and C. E. GROSCH, The continuous spectrum of the Orr-Sommerfeld equation. 2. Eigenfunction expansions, J. Fluid Mech. 104:445 (1981).
10. J. T. STUART, On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. 1. The basic behavior in plane Poiseuille flow, J. Fluid Mech. 9:353 (1960).