Linear global instability of non-orthogonal incompressible swept attachment-line boundary-layer flow
Abstract
Flow instability in the non-orthogonal swept attachment-line boundary layer is addressed in a linear analysis framework via solution of the pertinent global (BiGlobal) partial differential equation (PDE)-based eigenvalue problem. Subsequently, a simple extension of the extended Görtler–Hämmerlin ordinary differential equation (ODE)- based polynomial model proposed by Theofilis et al. (2003) for orthogonal flow, which includes previous models as special cases and recovers global instability analysis results, is presented for non-orthogonal flow. Direct numerical simulations have been used to verify the analysis results and unravel the limits of validity of the basic flow model analysed. The effect of the angle of attack, AoA, on the critical conditions of the non-orthogonal problem has been documented; an increase of the angle of attack, from AoA = 0 (orthogonal flow) up to values close to π/2 which make the assumptions under which the basic flow is derived questionable, is found to systematically destabilize the flow. The critical conditions of non-orthogonal flows at 0 ≤ AoA ≤ π /2 are shown to be recoverable from those of orthogonal flow, via a simple algebraic transformation involving AoA.
Additional Information
© 2012 Cambridge University Press. Received February 01 2012; Reviewed May 11 2012; Accepted July 04 2012; Online publication August 23 2012. Support from the Spanish Ministry of Science and Innovation through Grant MICINN-TRA2009-13648: 'Metodologías computacionales para la predicción de inestabilidades globales hidrodinámicas y aeroacústicas de flujos complejos' is gratefully acknowledged. The work of D.R. was partially funded by the Marie Curie COFUND programme.Attached Files
Published - S0022112012003540a.pdf
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Additional details
- Eprint ID
- 35982
- Resolver ID
- CaltechAUTHORS:20121213-154222090
- MICINN-TRA2009-13648
- Ministerio de Ciencia e Innovación (MCINN)
- Marie Curie Fellowship
- Created
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2012-12-14Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field