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Understand Stokes’ Law and Poiseuille’s Law in Fluid Mechanics

Explore the relationship between drag force and speed for a sphere in a viscous fluid as per Stokes’ Law, and understand Poiseuille’s Law for laminar flow in tubes or pipes. Learn how resistance in pipes impacts flow rate and pressure drop. Differentiate between laminar and turbulent flows for a deeper insight into fluid mechanics.

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Understand Stokes’ Law and Poiseuille’s Law in Fluid Mechanics

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Presentation Transcript

  1. Physics Unit Four Subunit Two

  2. Stokes’ Law The relationship between the drag force and speed for a small sphere moving through a viscous fluid.

  3. Poiseuille,s Law For a fluid in laminar flow through a tube or pipe, the relationship between volume flow rate, pipe radius, pressure drop, and length of pipe.

  4. Resistance in a pipe occurs because outer layers of fluid are held back by a friction-like force as they slide by the wall of the pipe or duct. Resistance occurs also because fluid layers within the fluid itself face a drag-like force opposition as they slide pasr one another.

  5. Fluid resistance in a pipe or duct affects both: • (1) Flow rate • (2) Pressure drop along the pipe.

  6. Laminar Flow: The fluid moves in layers with the center of the pipe moving fastest. • Turbulent Flow. The fluid swirls and mixes layers within the pipe.

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