In a turbulent flow in a pipe, the shear stress is
shear stress variation where y is distance from pipe wall, so, the shear stress varies linearly with the distance from the boundary to become zero at the center.
Water of kinematic viscosity v = 1 centistoke flows through a 10 mm diameter pipe. The critical flow in this pipe would correspond to a discharge of approximately
Shear velocity is
Friction factor f in laminar and turbulent flow in a pipe varies as Re-1 and Re-0.25 respectively. If V\s the average velocity, the pressure drop in a horizontal pipe for laminar and turbulent flow respectively will be proportional to
For hydrodynamically smooth pipes, the friction factor f
The critical value of reynolds number for transition from laminar to turbulent boundary layer in external flows is taken as
Critical Reynolds number for external flow
(Re)Cr = 5 x 105
The logarithmic velocity distributions observed in
Logarithmic profile exist is in turbulent flow.
In a fully turbulent flow through a rough pipe, the friction factor ‘f’ is (Re is Reynolds number and ξs/D is relative roughness)
Using the Prandtl's mixing length concept, how is the turbulent shear stress expressed?
Turbulent shear stress
(Smarter way to solve this kind of question is to check for units)