An approach based on the “entrainment” theory is presented as a tool for the prediction of turbulent boundary layer growth in adverse pressure gradients. The rate of entrainment of free-stream fluid by the boundary layer is assumed to be a unique function of the shape factor. A two parameter velocity profile has been assumed, which reduces to the Spalding [24] profile for zero pressure gradient flows and to the half-power profile of Stratford [26] for separating flows. The integral equations of continuity and momentum are solved with the above empirical input to predict the growth of the boundary layer parameters, both in two-dimensional and axisymmetric flows. The predictions are compared with some of the available experimental data in both the cases. The technique is found to give improved predictions compared with those of previous methods. Results in the case of conical diffusers indicate that the theory predicts slightly higher shape factors than actual, especially in the far downstream portions of the diffuser and thus furnishes a slightly conservative method for design.
Skip Nav Destination
Article navigation
December 1969
This article was originally published in
Journal of Basic Engineering
Research Papers
A Modified Entrainment Theory for the Prediction of Turbulent Boundary Layer Growth in Adverse Pressure Gradients
W. B. Nicoll,
W. B. Nicoll
Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada
Search for other works by this author on:
B. R. Ramaprian
B. R. Ramaprian
Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada
Search for other works by this author on:
W. B. Nicoll
Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada
B. R. Ramaprian
Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada
J. Basic Eng. Dec 1969, 91(4): 649-655 (7 pages)
Published Online: December 1, 1969
Article history
Received:
February 28, 1969
Online:
November 3, 2011
Citation
Nicoll, W. B., and Ramaprian, B. R. (December 1, 1969). "A Modified Entrainment Theory for the Prediction of Turbulent Boundary Layer Growth in Adverse Pressure Gradients." ASME. J. Basic Eng. December 1969; 91(4): 649–655. https://doi.org/10.1115/1.3571205
Download citation file:
14
Views
Get Email Alerts
Cited By
Related Articles
An Integral Solution for Heat Transfer in Accelerating Turbulent Boundary Layers
J. Heat Transfer (November,2009)
Separation Criterion for Turbulent Boundary Layers Via Similarity Analysis
J. Fluids Eng (May,2004)
Boundary Layer Calculation for Analysis and Design
J. Fluids Eng (June,1978)
Calculation of the Development of Turbulent Boundary Layers With a Turbulent Freestream
J. Fluids Eng (December,1974)
Related Proceedings Papers
Related Chapters
Boundary Layer Analysis
Centrifugal Compressors: A Strategy for Aerodynamic Design and Analysis
Introduction
Design and Analysis of Centrifugal Compressors
Re-entrant Gas Flows of High-speed Ventilated Supercavity
Proceedings of the 10th International Symposium on Cavitation (CAV2018)