XCVI.<i>The variation of velocity amplitude close to the surface of a cylinder moving through a viscous fluid</i>

Piercy, N.A.V.; B.A., E.G. Richardson

doi:10.1080/14786441108564677

Cited by 18 publications

(6 citation statements)

References 2 publications

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“…Similar phenomena were detected in the next two investigations, one of circular cylinder flow (79) , the other of flow around a streamlined strut (80) . In the case of the cylinder (79) , the hot wire was also used to investigate separation around the cylinder's shoulder, the wire's signal being amplified so that the shed vorticity became audible (Fig. 25).…”

Section: The Aeronautical Departmentsupporting

confidence: 82%

One hundred years of aeronautics in East London

Ackroyd¹,

Bernstein²,

Armstrong³

2008

Aeronaut. j.

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Section: The Aeronautical Departmentsupporting

confidence: 82%

One hundred years of aeronautics in East London

Ackroyd¹,

Bernstein²,

Armstrong³

2008

Aeronaut. j.

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“…Perhaps the eadiest indication that the flow in the stagnation region of a blunt body acquires a complex pattern is contained in two papers by Piercy & Richardson (1928, 1930, who concluded that "[there exists] a considerable area of instability extending upstream a distance about one-quarter of the length of the strut section and roughly covering the area for which the mean velocity is sensibly reduced below its value in the undisturbed stream .... Within the area explored, velocity amplitude (the amplitude of the usually observed fluctuating component) increases rapidly as the stagnation point is approached".…”

Section: Introductionmentioning

confidence: 99%

On the stability of two-dimensional stagnation flow

Kestin

Wood

1970

J. Fluid Mech.

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The paper examines the stability of the uniform flow which approaches a two-dimensional stagnation region formed when a cylinder or a two-dimensional blunt body of finite curvature is immersed in a crossflow. It is shown that such a flow is unstable with respect to three-dimensional disturbances. This conclusion is reached on the basis of a mathematical analysis of a simplified form of the disturbance equation for the stream-wise component of the vorticity vector. The ultimate, or stable, flow pattern is governed by a singular Sturm–Liouville problem whose solution possesses a single eigenvalue. The resulting flow is one in which a regularly distributed system of counter-rotating vortices is super-imposed on the basic, Hiemenz-like pattern of streamlines. The spacing of the vortices is a unique function of the characteristics of the flow, and a theoretical estimate for it agrees well with experimental results. The analysis is extended heuristically to include the effect of free-stream turbulence on the spacing.The problem is similar to the classical Görtler–Hämmerlin study of the stability of stagnation flow against an infinite flat plate, which revealed the existence of a spectrum of eigenvalues for the disturbance equation. The present analysis yields the same result when an infinite radius of curvature is assumed for the blunt body.

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“…Widely known in the literature are the Görtler vortices generated at high Reynolds numbers in the boundary layer on a surface concave toward the freestream [1]. Experimental investigations of the incompressible transverse flow past a circular cylinder show that along the attachment line on the frontal surface of the body there appear vortex structures with a period equal to several boundary layer thicknesses [2]. At high Mach numbers M ∞ 1 the formation of spatially periodic vortices in the shock layer between the bow shock and the body surface is associated with considerable fluctuations of the enthalpy and heat flux distributions over the body surface.…”

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confidence: 99%

Vortex structure generation on the frontal surface of a cylinder set transversely in a hypersonic flow

Drozdov¹

2006

Fluid Dyn

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The problem of formation of spatially periodic structures on the frontal surface of a cylindrically blunted body set transversely in a hypersonic flow is studied. Within the framework of the model adopted, a possible mechanism of vortex structure generation on the frontal surface of the blunt body is proposed and confirmed by calculations; in this mechanism, the curved bow shock produces a vortex flow, while in its turn the vortex, which persists under weak dissipation, acts on the shock thus maintaining its curved shape. It is shown that the spatially periodic mode of hypersonic flow past a cylinder can exist in the case of a uniform incident flow and under homogeneous boundary conditions on the body surface.

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XCVI.The variation of velocity amplitude close to the surface of a cylinder moving through a viscous fluid

Cited by 18 publications

References 2 publications

One hundred years of aeronautics in East London

One hundred years of aeronautics in East London

On the stability of two-dimensional stagnation flow

Vortex structure generation on the frontal surface of a cylinder set transversely in a hypersonic flow

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