Transition,turbulence and oscillating flow in a pipe a visual study

Transitional and turbulent oscillatory flow in a rigid pipe with long entry sections was investigated using flow visualization to establish the existence of coherent structures. Flow tracer and high speed motion pictures were used. The simple harmonic motion of a scotch yoke and flywheel linked to a piston and cylinder provided the flow driving force. The camera was convected with the flow by attaching it through a gearing system to the scotch yoke.List of symbols A cross sectional area of flow - C, K constants - D pipe diameter - N _Re,ave Reynolds number based on average velocity (DU _ave /v) - N _Re,p Reynolds number based on maximum oscillatory velocity (DU _max /v) - Reynolds number based on maximum oscillatory velocity and Stokes (boundary) layer thickness (U _max /v) - R pipe radius - U instantaneous velocity in the flow direction - short-term average instantaneous velocity - U ^* friction velocity (U _ave (f/2)^1/2) - U _amp amplitude parameter (U _max /U _ave ) - U _ave average velocity - U _s steady velocity - U _t instantaneous oscillatory velocity - U _max maximum oscillatory velocity ( X _max /T) - u _r , u _z deviations from _r, and _z - y radial coordinate from wall (R–r) - y ⁺ dimensionless radial coordinate from wall (y U*/v) - frequency parameter R (/v) ^1/2] - Stokes (boundary) layer thickness C (2 v/)^1/2] - normalized time into cycle - fluid viscosity - v fluid kinematic viscosity (/) - density - angular frequency (2/T) - - overbar, average - sub-c critical value