Practical calculations of transitional boundary layers

McDonald, H.; Fish, R. W.

doi:10.1016/0017-9310(73)90164-6

Cited by 71 publications

(29 citation statements)

References 10 publications

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“…Equation (1) shows the Reynolds stresses multiplied by the intermittency factor. This is the form utilized by McDonald and Fish (1973) and others.…”

Section: Transition Region Equationsmentioning

confidence: 99%

The Use of Transition Region Characteristics to Improve the Numerical Simulation of Heat Transfer in Bypass Transitional Flows

Simon

1995

International Journal of Rotating Machinery

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A method is presented for improving the numerical prediction of bypass transition heat transfer on a flat plate in a high-disturbance environment with zero or favorable pressure gradient. The method utilizes low Reynolds number k-e turbulence models in combination with the characteristic parameters of the transition region. The parameters representing the characteristics of the transition region used are the intermittency, transition length and turbulent spot properties. An analysis is made of the transition length in terms of turbulent spot variables. The nondimensional spot formation rate, required for the prediction of the transition length, is shown by the analysis to be a function of the spot spreading angle, the dimensionless spot velocity ratio and the dimensionless spot area ratio. The intermittency form of the k-e equations was derived from conditionally averaged equations which have been shown to be an improvement over global-time-averaged equations for the numerical calculation of the transition region. The numerical predictions are in general good agreement with the experimental data and indicate the potential use of the method in accelerating flows. Turbulence models of the k-e type are known to underpredict the transition length. The present work demonstrates how incorporating transition region characteristics improves the ability of two-equation turbulence models to simulate bypass transition for flat plates with potential application to turbine vanes and blades.

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“…Equation (1) shows the Reynolds stresses multiplied by the intermittency factor. This is the form utilized by McDonald and Fish (1973) and others.…”

Section: Transition Region Equationsmentioning

confidence: 99%

The Use of Transition Region Characteristics to Improve the Numerical Simulation of Heat Transfer in Bypass Transitional Flows

Simon

1995

International Journal of Rotating Machinery

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“…As in Ref. 33, the present investigation assumes that the damping distributes normally about a mean height y~(y~= y,,-~7~7 v) with a standard deviation ° leading to the equation…”

Section: Rmentioning

confidence: 99%

“…33. In the present calculations the von Karman cons tant k was taken to be The MINT calculation procedure represents an efficient solution to the multi-dimensional, time-dependent Navi c-r-Stokes equations.…”

Section: Rmentioning

confidence: 99%

A Study of the Turbulent Shock Wave Boundary Layer Interaction.

Levy¹,

Shamroth²,

Gibeling³

et al. 1977

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“…Following Dhawan and Narasimha (15), the mean transitional velocity profile is represented as the intermittency weighted average of the separate laminar and turbulent components : (4) and the integral parameters are given by Evaluation of the mixed integral term in equation (7) requires both the laminar and turbulent mean velocity profiles in the transition region to be fully specified. The thickness of the transitional layer 6, is taken as either 6, or 6,, whichever is the greater.…”

mentioning

confidence: 99%

Integral Calculations of Transitional Boundary Layers

Fraser¹,

Milne²

1986

Proceedings of the Institution of Mechanical Engineers, Part C:

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A method is presented for the calculation of two-dimensional, incompressible, transitional boundary layers under small pressure gradient and moderate freestream turbulence conditions. Established integral techniques are used in conjunction with an intermittency weighted model of the transitional boundary layer, and empirical correlations are used to predict the onset and length ofthe trunsition region. The only input data required to compute the entire unseparated boundary layer are the ambient pressure and temperature, fhe freestream turbulence level and the freestream velocity distribution in a power law, or a polynomial form. Alternatively, the freestream velocity can be input in tabular form as a function of x.

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Practical calculations of transitional boundary layers

Cited by 71 publications

References 10 publications

The Use of Transition Region Characteristics to Improve the Numerical Simulation of Heat Transfer in Bypass Transitional Flows

The Use of Transition Region Characteristics to Improve the Numerical Simulation of Heat Transfer in Bypass Transitional Flows

A Study of the Turbulent Shock Wave Boundary Layer Interaction.

Integral Calculations of Transitional Boundary Layers

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