Instability of Slip Flow between Two Concentric Cylinders

Ling Ren; De Hong Xia

doi:10.4028/www.scientific.net/AMM.117-119.588

Paper Titles

Dynamics Optimization for the Valve Train of a Diesel Engine
p.565

Simplified Second Order Model of Reynolds Equation for Simulating the Ultra-Thin Air Bearing Film in Hard Disk Drivers
p.570

Heat Transfer Enhancement of Viscoelastic Fluid in the Rectangle Microchannel with Constant Heat Fluxes
p.574

Modification of Flow Stress Model Based on Internal Variables
p.582

Instability of Slip Flow between Two Concentric Cylinders
p.588

Experiment of Temperature Field for High Speed Orthogonal Turning
p.594

The Hydrodynamic Performance Prediction of Ship Hull with Propeller
p.598

Research on of Litterfall Production of Eucalyptus Globulus Plantation
p.602

Microstructure and Temperature Stability of Ca Substituted Forsterite Ceramics
p.606

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 117-119Instability of Slip Flow between Two Concentric...

Instability of Slip Flow between Two Concentric Cylinders

Abstract:

The linear stability of flows confined between two concentric rotating cylinders with wall slip is examined. The curves of marginal stability in the plane of the angular velocities at the walls are obtained as a function of slip coefficient, showing the stabilizing effect of slip on the flow stability. The eigenfunction for the first mode at the onset of instability and the corresponding cell pattern are obtained for different slip coefficients. It is found that the number of cell pattern in the radial direction increases with increasing slip coefficients.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 117-119)

Pages:

588-593

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.117-119.588

Citation:

Cite this paper

Online since:

October 2011

Authors:

Ling Ren, De Hong Xia

Keywords:

Flow Between Concentric Cylinders, Instability, Wall Slip

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] A. Spille, H. Bühring, A. Rauh, Critical curves of plane Poiseuille flow with slip boundary conditions, Nonlinear Phenomena in Complex Systems 3 (2000) 171-173.

Google Scholar

[2] A. K-H. Chu, Instability of Navier slip flow of liquids, C. R. Mecanique 332 (2004) 895-900.

DOI: 10.1016/s1631-0721(04)00197-4

Google Scholar

[3] C.J. Gan, Z.N. Wu, Short-wave instability due to wall slip and numerical observation of wall-slip instability for microchannel flows, J. Fluid Mech. 550 (2006) 289-306.

DOI: 10.1017/s0022112005008086

Google Scholar

[4] M.M. Denn, Extrusion instabilities and wall slip, Annu. Rev. Fluid Mech. 33 (2001) 265-287.

Google Scholar

[5] L.N. Trefethen, Spectral Methods in Matlab, Society for Industrial and Applied Mathematics, Philadelphia, 2000.

Google Scholar

[6] S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Dover Publications INC., New York, 1981.

Google Scholar