Stabilizing a Laminar Flow over a Rectangular Cylinder using Two Small Rotating Cylinders

The paper presents solutions of the laminar flow of a Newtonian fluid between cylinders with non-coincident axes, where the core cylinder rotates about its axis. The solutions have been obtained by means of an adapted version of the finite-difference procedure of Gosman et al. (1). The results show that the inclusion of convective transport terms (which in previous analyses have been neglected or included only approximately) may have an appreciable effect upon the flow field and, in particular, upon the pressure field around cylinders.

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Effect of viscous dissipation in two-dimensional Stokes flow between rotating cylinders – preliminary numerical investigation

MATEC Web of Conferences ◽

10.1051/matecconf/201824003015 ◽

2018 ◽

Vol 240 ◽

pp. 03015

Author(s):

Tomasz Janusz Teleszewski

Keyword(s):

Nusselt Number ◽

Temperature Distribution ◽

Boundary Element Method ◽

Laminar Flow ◽

Viscous Dissipation ◽

Stokes Flow ◽

Main Part ◽

Velocity Fields ◽

Two Dimensional ◽

Rotating Cylinders

This paper introduces the modelling of two-dimensional laminar flow of Newtonian fluid in a system of concentric or eccentric rotating cylinders with regards to viscous dissipation. Viscous dissipation is a main part, where the viscosity is large for example in oils. The dependence of the Nusselt number on the ratio of the radius of the inner cylinder to the radius of the external cylinder for the selected distance of the cylinder axes was investigated. In order to determine the velocity fields and the temperature distribution, the boundary element method was used. The results of the calculations were presented in the form of diagrams.

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An instability of laminar flow of mercury caused by an external magnetic field

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1955.0265 ◽

1955 ◽

Vol 233 (1194) ◽

pp. 299-302 ◽

Cited By ~ 38

Keyword(s):

Magnetic Field ◽

External Magnetic Field ◽

Laminar Flow ◽

Viscous Flow ◽

Fluid Layer ◽

The State ◽

Conducting Liquid ◽

Rotating Cylinders ◽

Electrically Conducting ◽

Gravitational Stability

Recent research on magneto-hydrodynamics has indicated the existence of a great number of situations where a magnetic field stabilizes the state of motion of an electrically conducting liquid. Examples have been given by Hartmann & Lazarus (1937), Murgatroyd (1953 a,b ), Shercliff (1953), and Stuart (1954) for viscous flow between parallel planes and in pipes, by Chandrasekhar (1953) and Lehnert (1952 a ) for viscous flow between rotating cylinders, by Chandrasekhar & Fermi (1953) for problems of gravitational stability and by Chandrasekhar (1952) and Nakagawa (1955) for the inhibition of convection in a fluid layer.

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