21. A body falling in a relatively dense fluid, oil for example, is acted on by three forces (see Figure 2.3.5): a resistive force R, a buoyant force B, and its weight w due to gravity. The buoyant force is equal to the weight of the fluid displaced by the object. For a slowly moving spherical body of radius a, the resistive force is given by Stokes's law, R 6π μalvl, where v is the velocity of the body, and u is the coefficient of viscosity of the surrounding fluid.7 =

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nitial
ct air
: ball
own,
REALEDE
lution
ion in
21. A body falling in a relatively dense fluid, oil for example, is
acted on by three forces (see Figure 2.3.5): a resistive force R, a
buoyant force B, and its weight w due to gravity. The buoyant force
is equal to the weight of the fluid displaced by the object. For a slowly
moving spherical body of radius a, the resistive force is given by
Stokes's law, R = 67 μalvl, where v is the velocity of the body, and
u is the coefficient of viscosity of the surrounding fluid.7
'Sir George Gabriel Stokes (1819-1903) was born in Ireland but spent most of
his life at Cambridge University, first as a student and later as a professor.
Stokes was one of the foremost applied mathematicians of the nineteenth
century, best known for his work in fluid dynamics and the wave theory of
light. The basic equations of fluid mechanics (the Navier-Stokes equations)
are named partly in his honor, and one of the fundamental theorems of vector
calculus bears his name. He was also one of the pioneers in the use of divergent
(asymptotic) series.
Transcribed Image Text:nitial ct air : ball own, REALEDE lution ion in 21. A body falling in a relatively dense fluid, oil for example, is acted on by three forces (see Figure 2.3.5): a resistive force R, a buoyant force B, and its weight w due to gravity. The buoyant force is equal to the weight of the fluid displaced by the object. For a slowly moving spherical body of radius a, the resistive force is given by Stokes's law, R = 67 μalvl, where v is the velocity of the body, and u is the coefficient of viscosity of the surrounding fluid.7 'Sir George Gabriel Stokes (1819-1903) was born in Ireland but spent most of his life at Cambridge University, first as a student and later as a professor. Stokes was one of the foremost applied mathematicians of the nineteenth century, best known for his work in fluid dynamics and the wave theory of light. The basic equations of fluid mechanics (the Navier-Stokes equations) are named partly in his honor, and one of the fundamental theorems of vector calculus bears his name. He was also one of the pioneers in the use of divergent (asymptotic) series.
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