57:020 Fluid Mechanics
14
Analytical Fluid Dynamics
•Example: turbulent flow in smooth pipe(             )
paste_velocity_profile
Three layer concept (using dimensional analysis)
 
1.Laminar sub-layer (viscous shear dominates)
1.
2.Overlap layer (viscous and turbulent shear important)
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3.    Outer layer (turbulent shear dominates)
Assume log-law is valid across entire pipe:
Integration for average velocity and using EFD data to adjust constants:
(k=0.41, B=5.5)