Laminar separation

Sychev, V.V.

doi:10.1007/bf01209044

Cited by 79 publications

(79 citation statements)

References 8 publications

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“…If k(s 0 ) < 0 then separation can occur at a corner point (Ruban 1974(Ruban , 1976 but not from a smooth surface because in the latter case the dividing streamline would penetrate the body surface. A self-consistent, local viscous structure near the separation point on a smooth surface (Sychev 1972;Smith 1977) exists only if in the inviscid flow k(s 0 ) = 0.…”

Section: Restrictions On the Position Of The Viscous Separation Pointmentioning

confidence: 99%

High-Reynolds-number Batchelor-model asymptotics of a flow past an aerofoil with a vortex trapped in a cavity

Chernyshenko¹,

Stepanov²

1998

J. Fluid Mech.

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Section: Restrictions On the Position Of The Viscous Separation Pointmentioning

confidence: 99%

High-Reynolds-number Batchelor-model asymptotics of a flow past an aerofoil with a vortex trapped in a cavity

Chernyshenko¹,

Stepanov²

1998

J. Fluid Mech.

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“…Most notably, the theory remains predominantly restricted to incipient or small-scale separations where the entire recirculating region together with the separation and reattachment points 'fits' into the O(Re −3/8 ) region of interaction. Even in the studies specifically aimed at describing developed separations (see Neiland 1969;Stewartson & Williams 1969;Sychev 1972;Ruban 1974), the analysis is confined to the 'local' flow behaviour near the separation point. Meanwhile, the 'global' structure of the flow in the recirculating region remains unresolved.…”

Section: Introductionmentioning

confidence: 99%

Once again on the supersonic flow separation near a corner

2002

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Laminar boundary-layer separation in the supersonic flow past a corner point on a rigid body contour, also termed the compression ramp, is considered based on the viscous-inviscid interaction concept. The 'triple-deck model' is used to describe the interaction process. The governing equations of the interaction may be formally derived from the Navier-Stokes equations if the ramp angle θ is represented as θ = θ 0 Re −1/4 , where θ 0 is an order-one quantity and Re is the Reynolds number, assumed large. To solve the interaction problem two numerical methods have been used. The first method employs a finite-difference approximation of the governing equations with respect to both the streamwise and wall-normal coordinates. The resulting algebraic equations are linearized using a Newton-Raphson strategy and then solved with the Thomas-matrix technique. The second method uses finite differences in the streamwise direction in combination with Chebychev collocation in the normal direction and Newton-Raphson linearization.Our main concern is with the flow behaviour at large values of θ 0 . The calculations show that as the ramp angle θ 0 increases, additional eddies form near the corner point inside the separation region. The behaviour of the solution does not give any indication that there exists a critical value θ * 0 of the ramp angle θ 0 , as suggested by Smith & Khorrami (1991) who claimed that as θ 0 approaches θ * 0 , a singularity develops near the reattachment point, preventing the continuation of the solution beyond θ * 0 . Instead we find that the numerical solution agrees with Neiland's (1970) theory of reattachment, which does not involve any restriction upon the ramp angle.

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“…Sychev [7] has recently shown that triple deck theory is valid for subsonic flow conditions as well. The problem of strong slot injection into a subsonic laminar boundary layer, has thus become feasible, and is the subject of this paper.…”

Section: Introductionmentioning

confidence: 99%