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1 TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

1 2001

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Instability of the non-isothermal flow between a rotating and a stationary disks

Tuliszka-Sznitko E., Soong C. Y., Serre E., Bontoux P.

TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

2001

Vol. 5, No 4

557-566

Both theoretical linear stability analysis and direct numerical simulation are performed to study the transition flow between rotating discs. The paper reports three-dimensional spiral and annular patterns computed with a high-order (spectral) numerical method in the Bodewadt layer of a cylindrical rotor/stator cavity. The characteristic parameters of these boundary layer instabilities are compared with the theoretical results and interpreted in terms of type I and type II generic instabilities. The absolute instability regions are theoretically identified and critical Reynolds numbers of the convective/absolute transition in both layers are given. The absolute or convective nature of the flows is determined by examining the branch-point singularities of the dispersion relation.