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A Simplified Version of Bradshaw’s Method for Calculating Two-dimensional Turbulent Boundary Layers

Published online by Cambridge University Press:  07 June 2016

V. C. Patel  and
M. R. Head
V. C. Patel
Affiliation:
Cambridge University, Engineering Department
M. R. Head
Affiliation:
Cambridge University, Engineering Department
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Summary

Bradshaw’s method of calculating the development of two-dimensional turbulent boundary layers involves the simultaneous solution of partial differential equations of mean motion and turbulent kinetic energy. The present approach avoids the computational complexities of this procedure.

The use of Thompson’s two-parameter family of velocity profiles and associated skin-friction law enables the momentum integral equation to be satisfied, along with Bradshaw’s version of the turbulent kinetic-energy equation at a specified fraction of the boundary layer thickness. This fraction (y/δ = 0·5) is chosen as representing the position in the boundary layer where Bradshaw’s equation, which contains several empirical functions, is shown by comparisons with experiment to hold with greatest accuracy. Thus the present simplified approach leads not only to a reduction in computing time but also to an appreciable increase in the general accuracy of prediction.

Type
Research Article
Information
Aeronautical Quarterly , Volume 21 , Issue 3 , August 1970 , pp. 243 - 262
Copyright
Copyright © Royal Aeronautical Society. 1970

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References

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