1961
DOI: 10.1017/s0022112061000445
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The motion of a thin oil sheet under the steady boundary layer on a body

Abstract: A solution is obtained for the motion of a thin oil sheet, of non-uniform thickness, under a boundary layer. The following points are deduced: (a) The oil flows in the direction of the boundary-layer skin-friction, except near separation, where the oil tends to indicate separation too early. These conclusions are independent of oil viscosity. (b) The effect of the oil flow on the boundary-layer motion is very small.The application of the results to the interpretation of oil-flow patterns is briefly considered.

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Cited by 118 publications
(51 citation statements)
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“…It only requires calibration between image space and physical space and can be used to obtain the wall shear stress without any knowledge or assumptions about the flow field. This technique was first introduced by Tanner and Blows (1976), who developed a simple relationship to measure shear stress using the thin oil-film equation developed by Squire (1961). Image-based technique, here, is one of the several variations from the original form proposed by Tanner and Blows (1976).…”
mentioning
confidence: 99%
“…It only requires calibration between image space and physical space and can be used to obtain the wall shear stress without any knowledge or assumptions about the flow field. This technique was first introduced by Tanner and Blows (1976), who developed a simple relationship to measure shear stress using the thin oil-film equation developed by Squire (1961). Image-based technique, here, is one of the several variations from the original form proposed by Tanner and Blows (1976).…”
mentioning
confidence: 99%
“…This principle finds its mathematical expression in the thin-film theory that is used to quantify the skin friction from the measurements of the oil-film technique. 25 The key relation is the one that links the height of the oil film, h, to the shear stress, τ w …”
Section: Technique For Skin Friction Measurementsmentioning
confidence: 99%
“…Figure 10 only displays the luminescent oil flow results at representative angles of incidences (i.e., 0, 6 and 12 degrees) viewed from the top. According to Squire's analysis, 43 the direction of the oil movement is believed to correlate to the wall shear stress and the pressure gradient. Generally, the oil streaks are longer on the conical surface than the cylinder segment, which corresponds to the high shear stress on the conical surface.…”
Section: B Surface Flow Patternmentioning
confidence: 99%