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Neutral stability curves of low-frequency Görtler flow generated by free-stream vortical disturbances

Published online by Cambridge University Press:  20 April 2018

Samuele Viaro Open the ORCID record for Samuele Viaro [Opens in a new window]  and
Pierre Ricco Open the ORCID record for Pierre Ricco [Opens in a new window]
Samuele Viaro*
Affiliation:
Department of Mechanical Engineering, The University of Sheffield, Sheffield, S1 3JD, UK
Pierre Ricco
Affiliation:
Department of Mechanical Engineering, The University of Sheffield, Sheffield, S1 3JD, UK
*
†Email address for correspondence: sviaro1@sheffield.ac.uk
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Abstract

The neutral curves of the boundary layer Görtler-vortex flow generated by free-stream disturbances, i.e., curves that distinguish the perturbation flow conditions of growth and decay, are computed through a receptivity study for different Görtler numbers, wavelengths, and low frequencies of the free-stream disturbance. The perturbations are defined as Klebanoff modes or strong and weak Görtler vortices, depending on their growth rate. The critical Görtler number below which the inviscid instability due to the curvature never occurs is obtained and the conditions for which only Klebanoff modes exist are thus revealed. A streamwise-dependent receptivity coefficient is defined and we discuss the impact of the receptivity on the $N$ -factor approach for transition prediction.

JFM classification

Boundary Layers: Boundary Layers Boundary Layers: Boundary layer receptivity Boundary Layers: Boundary layer stability

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Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 845 , 25 June 2018 , R1
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Copyright
© 2018 Cambridge University Press 

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