7.15. The thickness of the viscous sublayer (Fig. 7.7) is usually defined by the intersection of a laminar velocity profile (adjacent to the wall) with a turbulent velocity profile. If the former may be described by v = c₁y and the latter by v = c₂y¹/7, derive an expression for the thickness of the film in terms of c, and C₂.

Elements Of Electromagnetics
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In mechanical fluid
7.15. The thickness of the viscous sublayer (Fig. 7.7) is usually defined by the intersection of
a laminar velocity profile (adjacent to the wall) with a turbulent velocity profile. If the former
may be described by v = c₁y and the latter by v = c₂y¹/7, derive an expression for the thickness
of the film in terms of c₁ and c₂.
y
V
Turbulent
region
Viscous
sublayer
(a) Smooth boundary.
Turbulent
region
Viscous
sublayer
(b) Rough boundary.
Fig. 7.7 Turbulent flow over boundaries that act smooth.
Transcribed Image Text:7.15. The thickness of the viscous sublayer (Fig. 7.7) is usually defined by the intersection of a laminar velocity profile (adjacent to the wall) with a turbulent velocity profile. If the former may be described by v = c₁y and the latter by v = c₂y¹/7, derive an expression for the thickness of the film in terms of c₁ and c₂. y V Turbulent region Viscous sublayer (a) Smooth boundary. Turbulent region Viscous sublayer (b) Rough boundary. Fig. 7.7 Turbulent flow over boundaries that act smooth.
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