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Flow in

Flow in. TUBES. FORCE NEEDED TO MOVE A LAYER OF VISCOUS FLUID WITH A CONSTANT VELOCITY.

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Flow in

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  1. Flow in TUBES

  2. FORCE NEEDED TO MOVE A LAYER OF VISCOUS FLUID WITH A CONSTANT VELOCITY • The magnitude of the tangential force required to move a fluid layer at a constant speed v, when the layer has an area A and is located a perpendicular distance y from an immobile surface, is given by • Where n is the coefficient of viscosity. • SI Unit of Viscosity: Pa s • Common or CGS Unit of Viscosity: poise (P)

  3. By solving the equation for the viscosity, Fy/(vA), it can be seen that the SI unit for viscosity is N m/[(m/s) m2]Pa s. Another common unit for viscosity is the poise (P), which is used in the CGS system of units and is named after the French physician Jean Poiseuille (1799–1869; pronounced, approximately, as Pwah-zoy). The following relation exists between the two units: 1 poise (P)0.1 Pa s

  4. Viscous Flow For viscous flow, the difference in pressures P2 -- P1, the radius R and length L of the tube, and the viscosity of the fluid influence the volume flow rate.

  5. POISEUILLE’S LAW A fluid whose viscosity is , flowing through a pipe of radius R and length L, has a volume flow rate Q given by where P1 and P2 are the pressures at the ends of the pipe.

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