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Unsteady compressible flow due to relative rotation and translation of a viscous fluid on a disk

Bhattacharyya, S and Nath, G (1996) Unsteady compressible flow due to relative rotation and translation of a viscous fluid on a disk. In: Archive of Applied Mechanics (Ingenieur Archiv), 66 (3). 208-214 .

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The modification of the axisymmetric viscous flow due to relative rotation of the disk or fluid by a translation of the boundary is studied. The fluid is taken to be compressible, and the relative rotation and translation velocity of the disk or fluid are time-dependent. The nonlinear partial differential equations governing the motion are solved numerically using an implicit finite difference scheme and Newton's linearisation technique. Numerical solutions are obtained at various non-dimensional times and disk temperatures. The non-symmetric part of the flow (secondary flow) describing the translation effect generates a velocity field at each plane parallel to the disk. The cartesian components of velocity due to secondary flow exhibit oscillations when the motion is due to rotation of the fluid on a translating disk. Increase in translation velocity produces an increment in the radial skin friction but reduces the tangential skin friction.

Item Type: Journal Article
Publication: Archive of Applied Mechanics (Ingenieur Archiv)
Publisher: Springer
Additional Information: Copyright of this article belongs to Springer.
Keywords: compressible flow;asymmetric flow;boundary layer;finite difference;skin friction
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 13 May 2011 10:06
Last Modified: 13 May 2011 10:06
URI: http://eprints.iisc.ac.in/id/eprint/37661

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