Finite element solutions of nonsteady incompressible viscous flow between two rotating concentric spheres
Article
Article Title | Finite element solutions of nonsteady incompressible viscous flow between two rotating concentric spheres |
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ERA Journal ID | 5111 |
Article Category | Article |
Authors | Mossad, Raos Riad |
Journal Title | Computers and Fluids |
Journal Citation | 22 (6), pp. 697-711 |
Number of Pages | 15 |
Year | 1993 |
Place of Publication | United Kingdom |
ISSN | 0045-7930 |
1879-0747 | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/0045-7930(93)90034-7 |
Web Address (URL) | https://www.sciencedirect.com/science/article/abs/pii/0045793093900347 |
Abstract | The problem of unsteady, incompressible viscous flow between two rotating concentric spheres has been investigated here. The full Navier-Stokes equations in terms of the velocity components u, v w and the pressure p, using spherical coordinates for axially symmetric flow, were solved by means of the finite element method in the spatial dimension and the alternating-direction method in the time dimension using Glowinski's algorithm. The element used is an annular-sector-type element with a bilinear approximation for the velocity components and with constant pressure within the element. Reynolds numbers in the range from 1 to 1000, gap size 0.5 and different combinations of the angular velocity of the inner and outer spheres were studied. In some of these cases a steady-state solution was possible, while in others only a transient solution was possible. This method proved to be successful and powerful in predicting the behavior of the flow for these nonlinear-type problems. © 1993. |
Keywords | Algorithms; Approximation theory; Computer software; Differential equations; Finite element method; Mathematical models; Pressure; Spheres; Unsteady flow; Velocity |
Public Notes | There are no files associated with this item. |
Byline Affiliations | University College of Southern Queensland |
Library Services |
https://research.usq.edu.au/item/wqvv6/finite-element-solutions-of-nonsteady-incompressible-viscous-flow-between-two-rotating-concentric-spheres
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