Abstract
The study of rotating viscous flows with walls has significant importance for many industrial devices. In this approach subsystems of simple geometry coming from realistic geometries are studied using accurate methods (spectral). The three-dimensional incompressible Navier-Stokes equations are solved using a projection scheme. Depending on the aspect ratio of the cavity and on the Reynolds number, annular and spiral patterns of the generic types I and II boundary layer instabilities as well as vortex breakdown phenomena are investigated. Taylor-Couette flows in a finite-length cavity with counter-rotating walls, are also studied. Two complex regimes of wavy vortex and spirals are emphasized for the first time via direct numerical simulation in this configuration
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
Owen, J. M., Rogers, R. H. (1989) Heat Transfer in Rotating Disk Systems, Vol. 1: Rotor-Stator Systems. Ed. W. D. Morris (Wiley, Taunton, Somerset, England)
Owen, J. M., Rogers, R. H. (1995) Heat Transfer in Rotating Disk Systems, Vol. 2: Rotating Cavities. Ed. W. D. Morris (Wiley, Taunton, Somerset, England)
Serre, E., Hugues, S. et al. (2001) Axisymmetric and three-dimensional instabilities in an Ekman boundary layer flow, Int. J. Heat Fluid Flows 22/1, 82–93
Serre, E., Crespo del Arco, E., Bontoux, P. (2001) Three-dimensional instabilities in an shrouded rotor-stator system, J. Fluid Mech. 434, 65–100
Czarny, O., Serre, E., Bontoux, P. (in print) Direct numerical simulation and identification of complex flows in Taylor-Couette counter-rotating cavities, C. R. Acad. Sci
Serre, E., Pulicani, J. P. (2001) 3D pseudo-spectral method for convection in rotating cylinder, Int. J. of Computers and Fluids 30/4, 491–519
Gauthier, P., Gondret, P., Rabaud, M. (1999) Axisymmetric propagating vortices in the flow between a stationary and a rotating disk enclosed by a cylinder. J. Fluid Mech., 386, 105–127
Savas, O. (1987) Stability of Bödewadt Fow. J. Fluid Mech. 183, 77–94
Caldwell, D. R., Van Atta, C. W. (1970) Characteristics of Ekman boundary layer instabilities. J. Fluid Mech. 44, 79–95
Faller, A. J. (1991) Instability and transition of the disturbed flow over a rotating disc. J. Fluid Mech. 230, 245–269
Andereck, C.D., Liu, S.S., Swinney, H.L. (1986) Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech. 164, 155–183
Schröder, W., Keller H.B. (1990) Wavy Taylor-Vortex flows via multigridcontinuation methods. J. Comput. Phys. 91, 197–227
Neitzel, G.P. (1984) Numerical computation of time-dependent Taylor-Vortex flows in finite-length geometries. J. Fluid Mech. 141, 51–66
Escudier, M.P. (1984) Observations of the flow produced in a cylindrical container by a rotating end wall, Exps. In Fluids 2, 179–186
Blackburn, H. M., Lopez, J. M. (2000) Symmetry breaking of the flow in a cylinder by a rotating end wall, Phys. of Fluids 12, 2698–2701
Pereira, J. C. F., Sousa, J. M. M. (1999) Confined vortex breakdown generated by a rotating cone, J. Fluid Mech. 385, 287–323
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Serre, E., Raspo, I., Czarny, O., Bontoux, P., Droll, P., Schäfer, M. (2002). High-Order Numerical Solutions for Rotating Flows with Walls. In: Breuer, M., Durst, F., Zenger, C. (eds) High Performance Scientific And Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55919-8_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-55919-8_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42946-3
Online ISBN: 978-3-642-55919-8
eBook Packages: Springer Book Archive