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Inviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-Stream

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posted on 2022-11-18, 15:40 authored by Bashar Al Saeedi, Zahir Hussain
The purpose of this paper is to investigate the linear stability analysis for the laminar-turbulent transition region of the high-Reynolds-number instabilities for the boundary layer flow on a rotating disk. This investigation considers axial flow along the surface-normal direction, by studying analytical expressions for the steady solution, laminar, incompressible and inviscid fluid of the boundary layer flow due to a rotating disk in the presence of a uniform injection and suction. Essentially, the physical problem represents flow entrainment into the boundary layer from the axial flow, which is transferred by the spinning disk surface into flow in the azimuthal and radial directions. In addition, through the formation of spiral vortices, the boundary layer instability is visualised which develops along the surface in spiral nature. To this end, this study illustrates that combining axial flow and suction together may act to stabilize the boundary layer flow for inviscid modes.

History

Citation

Al Saeedi, Bashar, and Zahir Hussain. 2021. "Inviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-Stream" Mathematics 9, no. 22: 2967. https://doi.org/10.3390/math9222967

Author affiliation

School of Engineering

Version

  • VoR (Version of Record)

Published in

Mathematics

Volume

9

Issue

22

Pagination

2967

Publisher

MDPI AG

eissn

2227-7390

Acceptance date

2021-11-15

Copyright date

2021

Available date

2022-11-18

Language

en

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