Accurate numerical methods for boundary layer flows I. Two dimensional laminar flows

Keller, Herbert B.; Cebeci, Tuncer

doi:10.1007/3-540-05407-3_15

Cited by 90 publications

(67 citation statements)

References 3 publications

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“…The initial conditions at ξ = 0, which correspond to the steady Hiemenz flow and its quasi-steady linear perturbation, take the form of ODEs in η, which were solved using a fourth-order Runge-Kutta method. The solution was then obtained by marching downstream using a Keller Box scheme (Keller & Cebeci, 1970) for both the mean flow, given by a nonlinear PDE (3.5), and the linearised disturbance equations for symmetric and anti-symmetric components, (4.4). From the asymptotic form of the eigensolutions, it is clear that the growth or decay of the disturbance is very sensitive to the mean flow.…”

Section: Numerical Resultsmentioning

confidence: 99%

Boundary-layer receptivity for a parabolic leading edge

Hammerton

Kerschen

1996

J. Fluid Mech.

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The effect of the nose radius of a body on boundary-layer receptivity is analyzed for the case of a symmetric mean flow past a body with a parabolic leading edge. Asymptotic methods based on large Reynolds number are used, supplemented by numerical results. The Mach number is assumed small, and acoustic free-stream disturbances are considered. The case of free-stream acoustic waves, propagating obliquely to the symmetric mean flow is considered. The body nose radius, r n , enters the theory through a Strouhal number, S = ωr n /U , where ω is the frequency of the acoustic wave and U is the mean flow speed. The finite nose radius dramatically reduces the receptivity level compared to that for a flat plate, the amplitude of the instability waves in the boundary layer being decreased by an order of magnitude when S = 0.3. Oblique acoustic waves produce much higher receptivity levels than acoustic waves propagating parallel to the body chord.

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Section: Numerical Resultsmentioning

confidence: 99%

Boundary-layer receptivity for a parabolic leading edge

Hammerton

Kerschen

1996

J. Fluid Mech.

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“…Under these assumptions, the governing differential equations are transformed into a form amenable to numerical solution. These equations are non-similar and they are solved using a very efficient finite-difference method known as Keller-box method developed by Keller and Cebeci [14]. Solutions of the velocity and enthalpy distributions are obtained from which estimates of the skin friction coefficient and local Nusselt number can be obtained.…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric compressible boundary layer on a long thin moving cylinder

Pop

1999

Acta Mechanica

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Summary. The steady laminar boundary layer flow on a thin and isothermal moving cylinder in a viscous compressible fluid at rest is studied in this paper. The fluid considered is a model fluid in which ~ ~ T -1 and # ~ T ~. The transformed non-similar boundary layer equations are solved numerically using a very efficient numerical method for some values of c~ and wall enthalpy 9~ parameters. The skin friction coefficient and Nusselt number are calculated for Pr -0.7 and some values ofw and 9~-1

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“…laving solved the problem for Z = 0, a Crank-Nicolson procedure In Z (or ) was adopted. Overall, the numerical differeicing scheme was based on that of Keller and Cebeci (1971). At each Z (or ) statlos, first the steady system was computed, with Newton iteration being used to treat the non-linearity in the problem.…”

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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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Accurate numerical methods for boundary layer flows I. Two dimensional laminar flows

Cited by 90 publications

References 3 publications

Boundary-layer receptivity for a parabolic leading edge

Boundary-layer receptivity for a parabolic leading edge

Axisymmetric compressible boundary layer on a long thin moving cylinder

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

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