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    Fluid Dymnamics and Drag Forces

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    We would like to know the nature of the drag forces experienced by a sphere as it passes through a fluid. The sphere has a low speed. Therefore, the drag force is highly dependent on the viscosity of the fluid. The fluid density is to be neglected.

    a) Use dimensional analysis to develop a model for drag force: F (MLT^-2) as a function of the radius r (L) and velocity v (LT^-1) of the sphere and the viscosity: µ (ML^-1T^-1) of the fluid.

    b) What is required to use the model for F above to be of use for predictions?

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    We would like to know the nature of the drag forces experienced by a sphere as it passes through a fluid. The sphere has a low speed. Therefore, the drag force is highly dependent on the viscosity of the fluid. The fluid density is to be neglected.

    a) Use dimensional analysis to develop ...

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