An accurate method for the simulation of three-dimensional incompressible heated pipe flow

Numerical Heat Transfer, Part B: Fundamentals

Volumn 37, Issue 3, 2000, Pages 293-308

  Su, Yi Chung ^a   Wang, Chin Shu ^b   Chung, Jacob N ^a   Lee, Shih Tuen ^b  

^a Washington State University   (United States)

^b NATIONAL TAIPEI UNIVERSITY OF TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001301776     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/104077900275413     Document Type: Article

References (18)

1. Y. S. Kachanov, Physical Mechanisms of Laminar-Boundary-Layer Transition, Ann. Rev. Fluid Mech., vol. 26, pp. 411-482, 1994.
2. L. Kleiser and T. A. Zang, Numerical Simulation of Transition in Wall-Bounded Shear Flows, Ann. Rev. Fluid Mech., vol. 23, pp. 495-537, 1991.
3. B. J. Bayly, S. A. Orszag, and Th. Herbert, Instability Mechanisms in Shear-Flow Transition, Ann. Rev. Fluid Mech., vol. 20, pp. 359-391, 1988.
4. B. Gebhart, Y. Jaluria, R. L. Mahajan, and B. Sammakia, Buoyancy-Induced Flows and Transport, Hemisphere, Washington, DC, 1988.
5. A. Leonard and A. Wray, A New Numerical Method for the Simulation of ThreeDimensional Flow in a Pipe, Proc. 8th Int. Conf. on Numerical Methods in Fluid Dynamics, pp. 335-343, Aachen, West Germany, 1982.
6. N. Toplosky and T. R. Akylas, Nonlinear Spiral Waves in Rotating Pipe Flow, J. Fluid Mech., vol. 190, pp. 39-54, 1988.
7. S. A. Orszag, Spectral Methods for Complex Geometries, J. Comput. Phys., vol. 37, pp. 70-92, 1980.
8. Th. Herbert, Secondary Instability of Boundary Layers, Ann. Rev. Fluid Mech., vol. 20, pp. 487-526, 1988.
9. P. R. Spalart and K. S. Yang, Numerical Study of Ribbon-Induced Transition in Blasius Flow, J. Fluid Mech., vol. 178, pp. 345-365, 1987.
10. A. Leonard, Divergence-Free Vector Expansions for 3-D Flow Simulations, Bull. Am. Phys. Soc, vol. 26, p. 1247, 1981.
11. M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions, Dover, New York, 1972.
12. R. D. Moser, P. Moin, and A. Leonard, A Spectral Numerical Method for the Navier-Stokes Equations with Application to Taylor-Couette Flow, J. Comput. Phys., vol. 52, pp. 524-544, 1983.
13. P. G. Drazin and W. H. Reid, Hydrodynamic Stability, Cambridge University Press, New York, 1981.
14. G. K. Batchelor and A. E. Gill, Analysis of the Stability of Axisymmetric Jets, J. Fluid Mech., vol. 14, pp. 529-551, 1962.
15. H. Salwen, F. W. Cotton, and C. E. Grosch, Linear Stability of Poiseuille Flow in a Circular Pipe, J. Fluid Mech., vol. 98, pp. 273-284, 1980.
16. C. C. Lin, Some Mathematical Problems in the Theory of the Stability of Parallel Flows, J. Fluid Mech., vol. 10, pp. 430-438, 1961.
17. R. C. DiPrima and G. J. Habetler, A Completeness Theorem for Non-Selfadjoint Eigenvalue Problems in Hydrodynamic Stability, Arch. Rat. Mech. Anal., vol. 34, 218-227, 1969.
18. Y. C. Su, Linear Stability Analysis of Mixed Convection Flow in a Vertical Pipe, M. S. thesis, Washington State University, Pullman, WA, 1994.