Journal ArticleDOI
Unsteady flow due to an impulsively started rotating sphere
S. C. R. Dennis,Peter W. Duck +1 more
TLDR
In this article, the development of flow due to a sphere which is impulsively started rotating about a diameter in a fluid initially at rest is studied numerically using two independent approaches.About:
This article is published in Computers & Fluids.The article was published on 1988-06-01. It has received 13 citations till now. The article focuses on the topics: Reynolds number & Computational fluid dynamics.read more
Citations
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Journal ArticleDOI
Wall effects on a rotating sphere
Qianlong Liu,Andrea Prosperetti +1 more
TL;DR: In this paper, the flow induced by a spherical particle spinning in the presence of no-slip planar boundaries is studied by numerical means and the hydrodynamic force and couple acting on the sphere exhibit a complex behaviour under the sometimes competing, sometimes cooperating action of viscous, inertial and centrifugal effects.
Journal ArticleDOI
Numerical and analytical solutions for the flow and heat transfer near the equator of an MHD boundary layer over a porous rotating sphere
TL;DR: In this paper, numerical treatment and derivation of analytical expressions for the solution of steady, laminar, incompressible, viscous and electrically conducting fluid of the boundary layer flow due to a rotating sphere subjected to a uniform suction and injection through the surface in the presence of a uniform radial magnetic field was studied.
Journal ArticleDOI
On the Lagrangian description of unsteady boundary layer separation. Part 2: The spinning sphere
Van Dommelen,L Leon +1 more
TL;DR: In this paper, a Lagrangian numerical scheme is developed which gives results in good agreement with Eulerian computations, but which is significantly more accurate than Euler's computations.
Journal ArticleDOI
On the non-parallel instability of the rotating-sphere boundary layer
TL;DR: In this article, a new solution for the steady boundary-layer flow over the rotating sphere that also accounts for the eruption of the boundary layer at the equator and other higher-order viscous effects is presented.
Journal ArticleDOI
The unsteady flow due to an impulsively rotated sphere
Sophie A. W. Calabretto,Sophie A. W. Calabretto,Benjamin Levy,James P. Denier,Trent W. Mattner +4 more
TL;DR: In this article, the authors consider the flow induced by a sphere, contained in an otherwise quiescent body of fluid, that is suddenly imparted with angular momentum and show that the problem exhibits a finite-time complexity.
References
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Journal ArticleDOI
Laminar boundary layer on an impulsively started rotating sphere
S. C. R. Dennis,Derek B. Ingham +1 more
TL;DR: The problem of determining the development with time of the flow of a viscous incompressible fluid outside a rotating sphere is considered in this paper, where the authors use series truncation to reduce the number of independent variables by one and then solve numerically a finite set of partial differential equations in one space variable and the time.
Journal ArticleDOI
The steady flow due to a rotating sphere at low and moderate Reynolds numbers
TL;DR: In this article, the problem of determining the steady axially symmetrical motion induced by a sphere rotating with constant angular velocity about a diameter in an incompressible viscous fluid which is at rest at large distances from it is considered.
Journal ArticleDOI
Flow past an impulsively started circular cylinder
W. M. Collins,S. C. R. Dennis +1 more
TL;DR: In this article, the Navier-Stokes equations were integrated numerically for the time-dependent flow past an impulsively started circular cylinder, based on the diameter of the cylinder, from 5 to ∞.
Journal ArticleDOI
The spontaneous generation of the singularity in a separating laminar boundary layer
L. L. van Dommelen,S. F. Shen +1 more
TL;DR: In this paper, a case study is given that the spontaneous generation of a singularity does indeed occur, thus settling the point, achieved by abandoning the usual Eulerian boundary layer coordinates in favor of Lagrangian coordinates.