A solid cylinder of diameter D , length L , and density ρ sfalls due to gravity inside a tube of diameter D 0 . The clearance,D 0 - D <<, D , is fi lled with fl uid of density ρ andviscosity μ . Neglect the air above and below the cylinder.Derive a formula for the terminal fall velocity of the cylinder.Apply your formula to the case of a steel cylinder,D = 2 cm, D 0 = 2.04 cm, L = 15 cm, with a film of SAE30 oil at 20 ° C.

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Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.