Linear stability analysis of flow in a periodically grooved channel

International Journal for Numerical Methods in Fluids

Volumn 41, Issue 6, 2003, Pages 601-613

  Adachi, T ^a   Uehara, H ^b  

^a AKITA UNIVERSITY   (Japan)

^b SAGA UNIVERSITY   (Japan)

Author keywords

Eigenvalue problem; Periodically grooved channel; Spectral element method; Stability

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LAMINAR FLOW; MATRIX ALGEBRA; OSCILLATIONS; REYNOLDS NUMBER;

LINEAR STABILITY;

CHANNEL FLOW;

FLOW ANALYSIS; FLOW STABILITY; GROOVE; HEAT EXCHANGER; MATHEMATICAL ANALYSIS;

EID: 0037470383     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.456     Document Type: Article

References (21)

1. Greiner M. An experimental investigation of resonant heat transfer enhancement in grooved channels. International Journal of Heat and Mass Transfer 1991; 34:1383-1391.
2. Roberts EPL. A numerical and experimental study of transition processes in an obstructed channel flow. Journal of Fluid Mechanics 1994; 260:185-209.
3. Nishimura T, Kunitsugu K, Nakagiri H. Fluid mixing and local mass transfer characteristics in a grooved channel for self-sustained oscillatory flow. Heat Transfer-Japanese Research 1998; 27:522-534.
4. Patankar SV, Liu CH, Sparrow EM. Fully developed flow and heat transfer in ducts having streamwise-periodic variations of cross-sectional area. ASME Journal oj Heat Transfer 1077; 99:180-186.
5. Sunden B, Trollheden S. Periodic laminar flow and heat transfer in a corrugated two-dimensional channel. International Communication of Heat and Mass Transfer 1989; 16:215-225.
6. Ghaddar NK, Korczak KZ, Mikic BB, Patera AY. Numerical investigation of incompressible flow in grooved channels. Part I, stability and self-sustained oscillations. Journal of Fluid Mechanics 1986; 163:99-127.
7. Pereira JCF, Sousa JMM. Finite volume calculations of self-sustained oscillations in a grooved channel. Journal of Computational Physics 1993; 106:19-29.
8. Adachi T, Uehara H. Transitions and pressure drop characteristics of flow in channels with periodically grooved parts. JSME International Journal Series B 2001; 44:221-230.
9. Amon AH. Spectral element-Fourier method for transitional flows in complex geometries. AIAA Journal 1993;31:42-48.
10. Drazin PG, Reid WH. Hydrodynamic Stability. Cambridge University Press: Cambridge, 1981 (Chapter 5).
11. Baker AJ. Finite Element Computational Fluid Mechanics. McGraw-Hill: New York, 1985 chapter (2).
12. Reddy JN. On penalty function methods in the finite-element analysis of flow problems. International Journal for Numerical Methods in Fluids 1982; 2:151-171.
13. Patera AT. A spectral element method for fluid dynamics: laminar flow in a channel expansion. Journal of Computational Physics 1984; 54:468-488.
14. Karnidakis GE. Spectrallhp Element Methods for CFD (Section 2). Oxford University Press: Oxford, 1999.
15. Amon CH. Spectral element methods for unsteady fluid and heat transfer in complex geometries: methodology and applications. Advances in Numerical Heat Transfer, vol. 2. Taylor & Francis: London, 2000; 71-108.
16. Eriksson LE, Rizzi A. Computer-aided analysis of the convergence to steady state of discrete approximations to the Euler equations. Journal of Computational Physics 1985; 57:90-128.
17. Fortin A, Jardak M, Gervais JJ, Pierre R. Old and new results on the two-dimensional Poiseuille flow. Journal of Computational Physics 1994; 115:455-469.
18. Stewart WJ, Jennings A. A simultaneous iteration algorithm for real matrices. ACM Transactions on Mathematical Software 1981; 7:184-198.
19. Karnidakis GE, Mikic BB, Patera AT. Minimum dissipation transport enhancement by flow destabilization: Reynolds' analogy revisited. Journal of Fluid Mechanics 1988; 192:365-391.
20. Amon CH, Mikic BB. Spectral element simulations of unsteady forced convective heat transfer. Numerical Heat Transfer Part A 1991; 19:1-19.
21. Orzsag SA. Accurate solution of the orr-sommerfeld stability equation. Journal of Fluid Mechanics 1971; 50:689-703.