The turbulent rotating-disk boundary layer

Imayama, Shintaro; Lingwood, R. J.; Alfredsson, P. Henrik

doi:10.1016/j.euromechflu.2014.03.009

Cited by 13 publications

(2 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There have also been several investigations of the turbulent rotating-disk flow, e.g. Littell & Eaton (1994), Imayama, Lingwood & Alfredsson (2014b). In the present work, however, we will restrict investigations to the purely linear regime in order to focus on the globalstability characteristics of a rotating disk in a domain that is not infinite, in the present case delimited by a front mimicking the appearance of turbulence further downstream.…”

Section: Figure 1 (Colour Online)mentioning

confidence: 97%

Global linear instability of the rotating-disk flow investigated through simulations

et al. 2015

View full text Add to dashboard Cite

Numerical simulations of the flow developing on the surface of a rotating disk are presented based on the linearized incompressible Navier-Stokes equations. The boundary-layer flow is perturbed by an impulsive disturbance within a linear global framework, and the effect of downstream turbulence is modelled by a damping region further downstream. In addition to the outward-travelling modes, inward-travelling disturbances excited at the radial end of the simulated linear region, r end , by the modelled turbulence are included within the simulations, potentially allowing absolute instability to develop. During early times the flow shows traditional convective behaviour, with the total energy slowly decaying in time. However, after the disturbances have reached r end , the energy evolution reaches a turning point and, if the location of r end is at a Reynolds number larger than approximately R = 594 (radius non-dimensionalized by √ ν/Ω * , where ν is the kinematic viscosity and Ω * is the rotation rate of the disk), there will be global temporal growth. The global frequency and mode shape are clearly imposed by the conditions at r end . Our results suggest that the linearized Ginzburg-Landau model by Healey (J. Fluid Mech., vol. 663, 2010, pp. 148-159) captures the (linear) physics of the developing rotating-disk flow, showing that there is linear global instability provided the Reynolds number of r end is sufficiently larger than the critical Reynolds number for the onset of absolute instability.

show abstract

Section: Figure 1 (Colour Online)mentioning

confidence: 97%

Global linear instability of the rotating-disk flow investigated through simulations

et al. 2015

View full text Add to dashboard Cite

show abstract

“…More recently, Lingwood and Garrett [15] discuss the use of mass flux through the lower disk as a potential flow-control mechanism. Various experimental studies concerning the stability, transition and control of these types of flows has been an area of more recent active research [16,17,18].…”

Section: Introductionmentioning

confidence: 99%

On the stability of the BEK family of rotating boundary-layer flows for power-law fluids

Abdulameer

Griffiths

Alveroğlu

et al. 2016

Journal of Non-Newtonian Fluid Mechanics

View full text Add to dashboard Cite

We consider the convective instability of the BEK family of rotating boundary-layer flows for shear-thinning power-law fluids. The Bödewadt, Ekman and von Kármán flows are particular cases within this family. A linear stability analysis is conducted using a Chebyshev polynomial method in order to investigate the effect of shear-thinning fluids on the convective type I (inviscid crossflow) and type II (viscous streamline curvature) modes of instability. The results reveal that an increase in shear-thinning has a universal stabilising effect across the entire BEK family. Our results are presented in terms of neutral curves, growth rates and an analysis of the energy balance. The newly-derived governing equations for both the steady mean flow and unsteady perturbation equations are given in full.

show abstract

Mathematical Modeling of the Process of the Interaction of the Cutting Diamond Disk with the Environment

Bezpalova

Лебедев

Morozov

et al. 2020

Lecture Notes in Mechanical Engineering

View full text Add to dashboard Cite

The turbulent rotating-disk boundary layer

Cited by 13 publications

References 30 publications

Global linear instability of the rotating-disk flow investigated through simulations

Global linear instability of the rotating-disk flow investigated through simulations

On the stability of the BEK family of rotating boundary-layer flows for power-law fluids

Mathematical Modeling of the Process of the Interaction of the Cutting Diamond Disk with the Environment

Contact Info

Product

Resources

About