SettlingWorkSheet - settling velocities for two different...

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_________________ Group Members: ________________ _________________ Name: _________________ Geology 351 Mathematics for Geologists In-class worksheet Problem 3.11 Stokes' law states that the viscosity at which a spherical particle suspended in a fluid settles is given by ( ) η ρρ 9 2 2 gr v f p = where v is the velocity of descent, ρ p and ρ f are the densities of particle and fluid respectively, g is the acceleration due to gravity, r is the particle radius and η is a property of the fluid known as viscosity . Assuming that grains of different sizes have identical densities, show that the ratio of the
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Unformatted text preview: settling velocities for two different grain sizes is 2 2 1 2 1 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ = r r v v where v 1 and v 2 are the velocities for grains of radius r 1 and r 2 respectively. • Now with that result in mind consider the following problem. If a grain of radius 0.1 mm, suspended in a lake takes 10 days to settle to the lake bottom, how long would it take a grain of radius 1mm? Hand in before you leave today 37...
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