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The drag force, F_D on a sphere due to a fluid flowing past the sphere is a function of viscosity, μ, the mass density, ρ, the velocity of flow, V, and the diameter of the sphere, D. Pick the relevant (one or more) non-dimensional parameter(s) pertaining to the above process from the following list.

1. F_D/(ρV²D²)
2. ρF_D/(V²D²)
3. ρVD/μ
4. μρ/(VD)

Correct answer: F_D/(ρV²D²)

Solution

The correct option, F_D/(ρV²D²), is a non-dimensional parameter known as the drag coefficient, which helps to characterize the drag force on the sphere relative to the inertial forces acting on it, making it essential for comparing different flow conditions.

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