Boundary-Layer Transition on a Swept Cylinder

Kohama, Yasuaki; Ukaku, Motoyuki; Ohta, Fukuo

doi:10.1016/b978-0-08-036232-8.50031-1

Cited by 5 publications

(4 citation statements)

References 5 publications

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“…The early works on the stability of rotating-disk flow enlightened many of the aspects relating to the convective nature of the flow. For example, the experimental works of [5][6][7][8] highlighted that primary and secondary instabilities in the form of stationary and/or nonstationary crossflow vortices govern the motion of a rotating-disk flow. Later, numerical and theoretical aspects of linear inviscid and viscous disturbance modes were examined by a number of researchers, including [5,[9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

An Analytic Approach for Calculating Absolutely Unstable Inviscid Modes of the Boundary Layer on a Rotating Disk

Türkyılmazoğlu

Gajjar

2001

Stud Appl Math

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An analytical treatment of inviscidly absolutely unstable modes is pursued using the long-wavelength asymptotic approach. It is shown using the inviscid Rayleigh scalings in conjunction with the linear critical layer theory that the rotating-disk boundary layer flow undergoes a region of absolute instability for some small azimuthal wave numbers. The analytically calculated branch points for the absolute instability are found to be in good agreement with those obtained via a numerical solution of the inviscid Rayleigh equation.

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Section: Introductionmentioning

confidence: 99%

An Analytic Approach for Calculating Absolutely Unstable Inviscid Modes of the Boundary Layer on a Rotating Disk

Türkyılmazoğlu

Gajjar

2001

Stud Appl Math

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“…The early works on the stability of rotating-disk flow enlightened many of the aspects relating to the convective nature of the flow. For example, the experimental works of Gregory et al (1955) (hereafter called as GSW), Wilkinson & Malik (1983), Kohama (1984) and Kohama et al (1987) have highlighted that primary and secondary instabilities in the form of stationary and/or non-stationary crossflow vortices govern the motion of a rotating-disk flow. Later, numerical and theoretical aspects of linear inviscid and viscous disturbance modes have been examined by a number of researchers including GSW, Hall (1986), Malik (1986), Bassom & Gajjar (1988), Balakumar & Malik (1990), Balachandar et al (1992) and Turkyilmazoglu & Gajjar (2000b).…”

Section: Introductionmentioning

confidence: 99%

Direct spatial resonance in the laminar boundary layer due to a rotating-disk

Türkyılmazoğlu¹,

Gajjar²

2000

Sadhana

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Numerical treatment of the linear stability equations is undertaken to investigate the occurrence of direct spatial resonance events in the boundary layer flow due to a rotating-disk. A spectral solution of the eigenvalue problem indicates that algebraic growth of the perturbations shows up, prior to the amplification of exponentially growing instability waves. This phenomenon takes place while the flow is still in the laminar state and it also tends to persist further even if the non-parallelism is taken into account. As a result, there exists the high possibility of this instability mechanism giving rise to nonlinearity and transition, long before the unboundedly growing time-amplified waves.

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“…For example, Gregory et al (1955), Wilkinson & Malik (1983), Kohama et al (1987), Mack (1985), Malik (1986), Hall (1986), Bassom & Gajjar (1988), Balakumar & Malik (1990) and Balachandar et al (1992), amongst many others highlighted that primary and secondary instabilities of stationary/travelling viscous/inviscid perturbations amplify convectively to give rise to the transition to turbulence. In line with the first scenario, Lingwood (1995) discovered pinching phenomenon for the coalescing waves emerging from distinct halves of the complex wavenumber plane before coalescing.…”

Section: Introductionmentioning

confidence: 96%

Effects of mass transfer on a resonance instability in the laminar boundary layer flow over a rotating-disk

Türkyılmazoğlu

2009

Sadhana

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Direct spatial resonance phenomenon occurring in the viscous incompressible boundary layer flow due to a rotating-disk is investigated in this paper based on the linear stability theory. The possible effects of suction and injection are explored on the direct spatial resonance instability mechanism detected earlier in the case of zero-suction. This instability leads to an algebraic growth of disturbances while the flow is yet in the laminar regime and this in turn, may initiate the non-linearity and transition, competing with the unboundedly growing timeamplified perturbations. In line with the physical intuition, results show that suction delays the onset of resonance instability by increasing the critical Reynolds number, whereas it is enhanced by the presence of injection. The critical parameter for direct spatial resonance instability always precedes the onset value for absolute instability mechanism, after a comparison with the previous work. Therefore, in the case of suction, the onset parameter is close to the transition value as determined from the earlier experimental observations. It is further examined the inviscid nature of both absolute as well as direct spatial resonance instabilities when suction or injection is applied through the disk, and is demonstrated that these instability mechanisms are not in any way an artifact of the parallel flow approximation assumed during the linearization of viscous incompressible stability equations.

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Boundary-Layer Transition on a Swept Cylinder

Cited by 5 publications

References 5 publications

An Analytic Approach for Calculating Absolutely Unstable Inviscid Modes of the Boundary Layer on a Rotating Disk

An Analytic Approach for Calculating Absolutely Unstable Inviscid Modes of the Boundary Layer on a Rotating Disk

Direct spatial resonance in the laminar boundary layer due to a rotating-disk

Effects of mass transfer on a resonance instability in the laminar boundary layer flow over a rotating-disk

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