A numerical investigation of a viscous incompressible fluid confined in a closed circular cylindrical container is made. The top and side wall are in rotation with a constant angular velocity, and the bottom is held fixed. A numerical scheme using the full Navier-Stokes equations is developed. For small or moderate Reynolds numbers (Re = ΩL2/ν), the convergence of iteration is quite rapid. When the Reynolds number increases, the flow in the bottom boundary layer and the viscous core is intensified. An initial value problem is also investigated for Re = 1000 and 5000. The flow development of the bottom boundary layer and the viscous core is clearly exhibited. Some experimental investigation is also made. The numerical solution agrees very well with the analytic solution for small Reynolds numbers and with the experimental observation for moderate and high Reynolds numbers.
Skip Nav Destination
Article navigation
June 1970
Research Papers
A Numerical Computation of a Confined Rotating Flow
Hsien-Ping Pao
Hsien-Ping Pao
Department of Space Science and Applied Physics, The Catholic University of America, Washington, D. C.
Search for other works by this author on:
Hsien-Ping Pao
Department of Space Science and Applied Physics, The Catholic University of America, Washington, D. C.
J. Appl. Mech. Jun 1970, 37(2): 480-487 (8 pages)
Published Online: June 1, 1970
Article history
Received:
December 26, 1968
Revised:
September 16, 1969
Online:
April 6, 2010
Citation
Pao, H. (June 1, 1970). "A Numerical Computation of a Confined Rotating Flow." ASME. J. Appl. Mech. June 1970; 37(2): 480–487. https://doi.org/10.1115/1.3408531
Download citation file:
Get Email Alerts
Nonlinear Mechanical Roton
J. Appl. Mech (March 2023)
Self-Debonding of Adhesive Thin Films on Convex Cylindrical Surfaces and Spherical Surfaces
J. Appl. Mech (May 2023)
Related Articles
Three-Dimensional Instabilities in Flow Past a Rotating Cylinder
J. Appl. Mech (January,2004)
Flow in an Open Tank With a Free Surface Driven by the Spinning Bottom
J. Fluids Eng (December,1985)
A Numerical Study of Unsteady Laminar Forced Convection From a Circular Cylinder
J. Heat Transfer (May,1976)
Thin-Film Flow at Moderate Reynolds Number
J. Fluids Eng (December,2000)
Related Proceedings Papers
Related Chapters
Laminar Fluid Flow and Heat Transfer
Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine
Aerodynamic Performance Analysis
Axial-Flow Compressors
Cavitating Structures at Inception in Turbulent Shear Flow
Proceedings of the 10th International Symposium on Cavitation (CAV2018)