The thrust, F (MLT-2), generated by a ship's propeller is generally thought to be a function of the diameter, D (L), forward speed, V (LT-¹), and rate of blade rotation, 0 (T-¹), of the propeller, the density, p (ML), and viscosity, u (ML-¹T-¹), of the liquid in which the propeller is submerged, the pressure, p (ML ¹T2), at the level of the propeller, and the gravity constant, g (LT-2). Determine a non-dimensional functional relationship between the thrust, F, and its influencing variables. conventional dimensionless Identify any named groups that appear in this relationship. F = f(V, p, D, u, p, o, g)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The thrust, F (MLT-2), generated by a ship's
propeller is generally thought to be a function of the
diameter, D (L), forward speed, V (LT-¹), and rate of
blade rotation, o (T-¹), of the propeller, the density, p
(ML-³), and viscosity, µ (ML-¹T-¹), of the liquid in
which the propeller is submerged, the pressure, p
(ML-¹T-2), at the level of the propeller, and the gravity
constant, g (LT-2). Determine a non-dimensional
functional relationship between the thrust, F, and its
influencing variables. Identify any
named
conventional dimensionless groups that appear in this
relationship.
F = f(V, p, D, µ, p, o, g)
Transcribed Image Text:The thrust, F (MLT-2), generated by a ship's propeller is generally thought to be a function of the diameter, D (L), forward speed, V (LT-¹), and rate of blade rotation, o (T-¹), of the propeller, the density, p (ML-³), and viscosity, µ (ML-¹T-¹), of the liquid in which the propeller is submerged, the pressure, p (ML-¹T-2), at the level of the propeller, and the gravity constant, g (LT-2). Determine a non-dimensional functional relationship between the thrust, F, and its influencing variables. Identify any named conventional dimensionless groups that appear in this relationship. F = f(V, p, D, µ, p, o, g)
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