21 nitialct air: ballown,REALEDElutionion in21. A body falling in a relatively dense fluid, oil for example, isacted on by three forces (see Figure 2.3.5): a resistive force R, abuoyant force B, and its weight w due to gravity. The buoyant forceis equal to the weight of the fluid displaced by the object. For a slowlymoving spherical body of radius a, the resistive force is given byStokes's law, R = 67 μalvl, where v is the velocity of the body, andu is the coefficient of viscosity of the surrounding fluid.7'Sir George Gabriel Stokes (1819-1903) was born in Ireland but spent most ofhis life at Cambridge University, first as a student and later as a professor.Stokes was one of the foremost applied mathematicians of the nineteenthcentury, best known for his work in fluid dynamics and the wave theory oflight. The basic equations of fluid mechanics (the Navier-Stokes equations)are named partly in his honor, and one of the fundamental theorems of vectorcalculus bears his name. He was also one of the pioneers in the use of divergent(asymptotic) series.

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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 =