Closure to “Discussion of ‘Simultaneous Lateral Skewing in a Three-Dimensional Turbulent Boundary-Layer Flow’” (1970, ASME J. Basic Eng., 92, pp. 90–91)

Abstract

Simultaneous lateral skewing was detected and existed over a relatively long flow distance.2 When skewing existed in only one direction, the polar velocity profiles indicated a near linear region as the floor of the channel was approached. With simultaneous lateral skewing, a linear region was not apparent until flow reversal was near completion.3 The crossflow velocity profile model advanced by Johnston [6] did not adequately describe the experimental crossflow profiles when skewing was in only one lateral direction.4 With skewing in one lateral direction, the crossflow models (equations ( 6), (7), and ( 8)), while representing a few of the experimentally determined polar plots reasonably well, were generally judged to be poor approximations to the bulk of these crossflow velocity profiles.5 The crossflow models providing for simultaneous lateral skewing, equations ( 7) and ( 8), did not satisfactorily represent the data obtained in this investigation for such conditions. No attempt could be made to test the ability of the crossflow profile model (equations ( 9) or ( 11)) proposed by Eichelbrenner [10, 11] to approximate the data because wall shear stress and pressure gradient data were not available.6 The difficulty in defining a boundary-layer edge and freestream velocity precisely affects the outer portion of the velocity polar plots to a substantial degree.