A numerical method for integrating the unsteady boundary-layer equations when there are regions of backflow

Phillips, J. H.; Ackerberg, R. C.

doi:10.1017/s0022112073002338

Cited by 29 publications

(6 citation statements)

References 12 publications

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“…The problem of 'order-one ' unsteady, free-stream disturbances (but such that the free stream does not reverse direction) has been considered by a number of authors. Pedley (1972) considered this problem, asymptotically close to and far from the leading edge, whilst Phillips & Ackerberg (1973) presented numerical solutions for locations from the leading edge to far downstream, their method being based on a time-marching scheme. More recently, Duck (1989) presented a new numerical method to tackle this problem, based on a spectral treatment in time, and a spatial finite-difference scheme, which properly takes into account the regions of reversed flow that inevitably occur.…”

Section: Introductionmentioning

confidence: 99%

The unsteady laminar boundary layer on an axisymmetric body subject to small-amplitude fluctuations in the free-stream velocity

Duck

1991

J. Fluid Mech.

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The effect of small amplitude, time-periodic, freestream disturbances on an otherwise steady axisymmetric boundary layer on a circular cylinder is considered.Numerical solutions of the problem are presented, and an asymptotic solution, valid far downstream along the axis of the cylinder is detailed. Particular emphasis is placed on the unsteady eigensolutions that occur far downstream, which turn out to be very different from the analogous planar eigensolutions. These axisymmetric eigensolutions are computed numerically and also are described by asymptotic analyses valid for low and high frequencies of oscillation. 0L)10

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Section: Introductionmentioning

confidence: 99%

The unsteady laminar boundary layer on an axisymmetric body subject to small-amplitude fluctuations in the free-stream velocity

Duck

1991

J. Fluid Mech.

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“…[22][23][24][25][26][27]). All of these studies used the traditional Eulerian formulation of the unsteady boundary-layer equations.…”

Section: (A) Classical Non-interactive Boundary Layersmentioning

confidence: 99%

Unsteady separation in vortex-induced boundary layers

Cassel

Conlisk

2014

Phil. Trans. R. Soc. A.

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This paper provides a brief review of the analytical and numerical developments related to unsteady boundary-layer separation, in particular as it relates to vortex-induced flows, leading up to our present understanding of this important feature in high-Reynolds-number, surface-bounded flows in the presence of an adverse pressure gradient. In large part, vortex-induced separation has been the catalyst for pulling together the theory, numerics and applications of unsteady separation. Particular attention is given to the role that Prof. Frank T. Smith, FRS, has played in these developments over the course of the past 35 years. The following points will be emphasized: (i) unsteady separation plays a pivotal role in a wide variety of high-Reynolds-number flows, (ii) asymptotic methods have been instrumental in elucidating the physics of both steady and unsteady separation, (iii) Frank T. Smith has served as a catalyst in the application of asymptotic methods to high-Reynolds-number flows, and (iv) there is still much work to do in articulating a complete theoretical understanding of unsteady boundary-layer separation.

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“…perturbation of the free-stream on laminar boundary layers has also been extensively studied, but mainly from a theoretical and computational point of view (eg. Ishigald, 1970 andPhillips &Ackerberg, 1973) while the combined effect of free-stream turbulence and a standing wave perturbation were studied computationally by Greenblatt (1991). The effect of travelling wave disturbances, representing an idealized model of the wake-passing over turbomachinery blades, was studied both experimentally and theoretically by Patel (1975) and has received revived attention in recent times (Evans, 1989, Paxson & Mayle, 1991and Greenblatt & Damelin, 1992.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Wake-Passing and Free-Stream Turbulence on Laminar Gas Turbine Blade Boundary Layers

Greenblatt

1993

Volume 3A: General

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A computational procedure has been developed which accounts for the combined time-mean effect of wake-passing and free-stream turbulence on laminar turbine blade boundary layers. The procedure has the advantage of being computationally efficient as well as providing a realistic model of the unsteady nature of the flow. The procedure yielded the parameter TuReD/σD/2 for characterizing the time-mean flow in the leading edge region and the parameter Γ≡2T~u2σx/γ for describing the flow downstream of the stagnation point. A provisional comparison with stagnation flow experimental data showed that the procedure may be more general than initially expected.

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A numerical method for integrating the unsteady boundary-layer equations when there are regions of backflow

Cited by 29 publications

References 12 publications

The unsteady laminar boundary layer on an axisymmetric body subject to small-amplitude fluctuations in the free-stream velocity

The unsteady laminar boundary layer on an axisymmetric body subject to small-amplitude fluctuations in the free-stream velocity

Unsteady separation in vortex-induced boundary layers

The Effect of Wake-Passing and Free-Stream Turbulence on Laminar Gas Turbine Blade Boundary Layers

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