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Effect of slip on the linear stability of the rotating disk boundary layer

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posted on 2023-09-08, 15:47 authored by Christian Thomas, Burhan Alveroğlu, Sharon O Stephen, Mushrifah AS Al-Malki, Zahir Hussain
The linear stability of the rotating disk boundary layer with surface roughness is investigated. Surface roughness is modeled using slip boundary conditions [M. Miklavčič and C. Y. Wang, Z. Angew. Math. Phys. 55, 235–246 (2004)], which establish concentric grooves, radial grooves, and isotropic roughness. The effect on the stationary crossflow and Coriolis instabilities is analyzed by applying slip conditions to the undisturbed flow and linear disturbances. This analysis builds on the work of Cooper et al. [Phys. Fluids 27, 014107 (2015)], who modeled slip effects on the base flow but applied the no-slip condition to the linear perturbations. Neutral stability curves and critical parameter settings for linearly unstable behavior are computed for several radial and azimuthal slip length settings. The application of slip on the linear disturbances has a significant impact on the flow stability. In particular, the Coriolis instability undergoes considerable destabilization in the instance of concentric grooves (i.e., radial slip) and radial grooves with sufficiently large azimuthal slip lengths. In addition, concentric grooves destabilize the crossflow instability when the radial slip length is small. Moreover, in the instance of isotropic roughness, the stabilizing effect is markedly less than the observations of Cooper et al. [Phys. Fluids 27, 014107 (2015)]. Finally, an energy analysis is undertaken to ascertain the physical mechanisms brought about by surface roughness.

History

Author affiliation

School of Engineering, University of Leicester

Version

  • VoR (Version of Record)

Published in

Physics of Fluids

Volume

35

Issue

8

Publisher

AIP Publishing

issn

1070-6631

eissn

1089-7666

Copyright date

2023

Available date

2023-09-08

Language

en

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