ESDU 68020: The compressible two-dimensional turbulent boundary layer, both with and without heat transfer, on a smooth flat plate, with application to wedges, cylinders and cones

Abstract:

ESDU 68020 presents data for the skin friction coefficients, shape parameter, momentum thickness, displacement thickness and boundary layer thickness for the turbulent boundary layer on a smooth flat plate with zero pressure gradient. It applies for Reynolds numbers based on streamwise distance of 100 000 to 1000 million for Mach numbers up to 5.0 and wall temperature/recovery temperature ratios in the range 0.25 to 2.00. An indication of the lowest values of Reynolds number for which the data are applicable is also given. The data for skin friction and momentum thickness are based on the semi-empirical method of Spalding and Chi. The data for shape parameter and boundary layer thickness are wholly empirical, based on a large quantity of test data. The applicability of the data is extended to two-dimensional supersonic flow over sharp wedges, the axisymmetric flow along cylinders and the axisymmetric supersonic flow about sharp-nosed cones by means of approximate factors applied to the flat plate data. The data given for compressible flow are for air or other gases having the ratio of specific heat capacities equal to 1.4 and a Prandtl number of 0.72. The data for incompressible flow are applicable to any fluid.

Software for the calculation of the flat plate local skin friction coefficient for the case of zero heat transfer is provided as Toolbox CFM.

Indexed under:

Details:

Data Item ESDU 68020
Format:	PDF with software
Status:	Amendment (E), 01 Oct 2022 Published in Release 2024-01 (Jan 2024)
Previous Releases:	ESDU 68020 Amendment D ESDU 68020 Amendment C
ISBN:	978 1 86246 184 0

The Data Item document you have requested is available only to subscribers.

Subscribers login here.
If you are not an ESDU subscriber find out how to subscribe.

This Data Item is complemented by the following software:

Toolbox Apps

Name

Details

Toolbox CFM Run

Title

Local and mean skin friction coefficients on a flat plate

Version

1.1

Details

This App uses the semi-empirical method of Spalding and Chi to obtain the local and mean skin friction coefficients for a turbulent boundary layer on a smooth flat plate with zero pressure gradient and zero heat transfer.

The data are applicable to flows with Reynolds numbers based on streamwise distance over the range 100 thousand to 1000 million and for Mach numbers up to 5.

The equations used are taken from Appendix A of ESDU 78019, which itself is based on the method described in ESDU 68020. Both of these Items are to be found in the Aerodynamics Series.