The resistance of a sea-going ship is due to wave-making and viscous drag, and it may be expressed in functional form as where FD is the drag force, V is the ship speed, L is its length, B is its width, ρ and µ are the sea water density and viscosity, and g is the gravitational constant. (a) Find the nondimensional parameters that describe the problem. (b) If we are to test a model of the ship, what are the requirements for dynamic similarity? (c) We are going to test a 1/25th scale model of a 100 m long ship. If the maximum velocity of the full-scale ship is 10 m/s, what should the maximum speed of the model be? What should the kinematic viscosity of the model test fluid be compared to the kinematic viscosity of sea water?

The resistance of a sea-going ship is due to wave-making and viscous drag, and it may be expressed in functional form as where FD is the drag force, V is the ship speed, L is its length, B is its width, ρ and µ are the sea water density and viscosity, and g is the gravitational constant. (a) Find the nondimensional parameters that describe the problem. (b) If we are to test a model of the ship, what are the requirements for dynamic similarity? (c) We are going to test a 1/25th scale model of a 100 m long ship. If the maximum velocity of the full-scale ship is 10 m/s, what should the maximum speed of the model be? What should the kinematic viscosity of the model test fluid be compared to the kinematic viscosity of sea water?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter6: Forced Convection Over Exterior Surfaces

Section: Chapter Questions

Problem 6.32P

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This problem is (16.23) from a book "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"