21.1
Pipe flow describes fluid movement through enclosed, fully-filled conduits, typically cylindrical pipes like water pipes or hydraulic hoses, engineered to withstand higher pressure gradients without deforming.
Rectangular conduits, such as air conditioning and heating ducts, typically handle lower pressures.
In pipe flow, movement is pressure-driven, whereas open-channel flow relies solely on gravity.
Osborne Reynolds pioneered fluid flow classification in pipes using his dye injection experiment.
By injecting dye into water flowing through pipes, Reynolds identified three distinct regimes: laminar, transitional, and turbulent.
At low flow rates, the dye forms a smooth streakline; with increasing flow, it begins to fluctuate and eventually disperses randomly.
The Reynolds number, a key dimensionless parameter, represents the ratio of inertial to viscous forces in pipe flow.
The Reynolds number depends on fluid velocity, density, viscosity, and the pipe diameter. For smooth, circular pipes, flows are typically laminar below 2100, turbulent above 4000, and transitional in between.
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