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Worksheet 300

Calculate the Reynolds number N′R for a ball with a 7.40-cm diameter thrown at 40.0 m/s.

Strategy

We can use the Reynolds number equation calculate N’R , since all values in it are either given or can be found in tables of density and viscosity.

Solution

We first find the kinematic viscosity values:

Kinematic Viscosity

Substituting values into the equation for N’R yields:

Reynolds number

Discussion

This value is sufficiently high to imply a turbulent wake. Most large objects, such as airplanes and sailboats, create significant turbulence as they move. As noted before, the Bernoulli principle gives only qualitatively-correct results in such situations.

Reference : OpenStax College,College Physics. OpenStax College. 21 June 2012.
http://openstaxcollege.org/textbooks/college-physics

Reynolds number

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Rayleigh Number

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Roshko number

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Rayleigh number (for the mushy zone of a solidifying alloy)

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Sommerfeld Number

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Rayleigh Taylor instability

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Atwood number

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Kinematic Viscosity

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Rayleigh number (for the mushy zone of a solidifying alloy - related to isotherm speed)

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Critical grain size (diameter)

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Precession - (Torque-induced - Classical Newtonian)

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Settling velocity

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Reynolds number (for motion of an object in a viscous fluid)

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Petroff's Law - Torque required to shear the lubricant film

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Petroff's Law - shear stress in the lubricant

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Stokes Number

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Hartmann Number

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Boundary layer thickness (For laminar boundary layers over a flat plate)

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Archimedes number

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Friction Loss (laminar flow)

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Period of Precession - (Torque-induced - Classical Newtonian)

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Angular Velocity - related to linear velocity

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Rossby Number

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Drag coefficient for a spherical object in creeping flow

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