Transcription of Viscous flow in pipe
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Viscous flow in pipe
Viscous flow in pipeHenryk KudelaContents1 Laminar or turbulent flow12 Balance of Momentum - Navier-Stokes Equation23 Laminar flow in factor for laminar flow ..51 Laminar or turbulent flowThe flow of a fluid in a pipe may be laminar flow or it may be turbulent flow. Osborne Reynolds(18421912), a British scientist and mathematician, was thefirst to distinguish the difference be-tween these two classifications of flow by using a simple apparatus as shown in 1: (a) Reynolds experiment using water in a pipe to study transition to turbulence, (b) Typ-ical dye streake1If water runs through a pipe of diameter D with an average velocity V, the following charac-teristics are observed by injecting neutrally buoyant dye as shown. For small enough flow ratesthe dye streak (a streakline) will remain as a well-defined line as it flows along, with only slightblurring due to molecular diffusion of the dye into the surrounding water.
Viscous flow in pipe Henryk Kudela Contents 1 Laminar or turbulent flow 1 2 Balance of Momentum - Navier-Stokes Equation 2 3 Laminar flow in pipe 2
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