Question

At very low speeds the drag on an object is independent of fluid viscosity, µ. Thus, the drag force, F, on a small sphere is a function of its velocity, V, fluid density, rho, and sphere diameter, D. Use dimensional analysis to determine how the drag force F depends on V.

Answer 1

see explaination and attachment

Step-by-step explanation:

Before we get to determine the drag force using dimensional analysis. Let's have an understanding of what those terms mean.

Dimensional analysis is a unique technique that is also called Factor-Label Method or the Unit Factor Method. It is a problem-solving method that uses the fact that any number or expression can be multiplied by one without changing its value.

Hence, determining that drag force F depends on V, let's see attachment.

Answer 2

Force F = (viscosity×flu density×rho)/ (πD)

Step-by-step explanation:

viscosity = sharing stress/velocity gradient.

Where sharing stress is = Force/Area