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.
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.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
A solid cylinder of diameter D , length L , and density ρ s
falls 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 and
viscosity 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 SAE
30 oil at 20 ° C.
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