SPANWISE MODULATION OF STREAMWISE ROLLS IN ROTATING CHANNEL FLOW
UNSPECIFIED. (1995) SPANWISE MODULATION OF STREAMWISE ROLLS IN ROTATING CHANNEL FLOW. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 48 (Part 2). pp. 257-284. ISSN 0033-5614Full text not available from this repository.
The nonlinear rotating channel problem in the neighborhood of the instability to streamwise rolls is studied with particular attention to the spanwise structure of the solutions. A Newton algorithm is developed for the geometry of neutral surfaces and is used to find accurate values for the minimum point of the neutral paraboloid. A Ginzburg-Landau (GL) equation for spanwise modulated states is derived. The derivation is simplified by writing the Navier-Stokes equations as a spatial evolution equation. Accurate numerical values for the coefficients in the GL equation, for a family of basic states interpolating between rotating plane Poiseuille flow and Couette flow, are obtained using a Chebyshev spectral-collocation method with a staggered grid. Analysis of the GL equation points to the importance of spanwise quasiperiodic states and stationary solitary wave-like states for the rotating channel problem with large spanwise dimension.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics
T Technology > TJ Mechanical engineering and machinery
|Journal or Publication Title:||QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS|
|Publisher:||OXFORD UNIV PRESS UNITED KINGDOM|
|Number of Pages:||28|
|Page Range:||pp. 257-284|
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