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2. Outcomes 1 and 4.Show and explain all work. You must show and explain all work. The drag on the hull of a sailboat can be shown to depend on the boat velocity V, the water density p and viscosity μ, the length of the hull f, and the acceleration due to gravity g.

2. Outcomes 1 and 4.Show and explain all work. You must show and explain all work. The drag on the hull of a sailboat can be shown to depend on the boat velocity V, the water density p and viscosity μ, the length of the hull f, and the acceleration due to gravity g.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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.
Chapter5: Analysis Of Convection Heat Transfer
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2. Outcomes 1 and 4.Show and explain all work. You must show and explain all work. The drag on the hull of a sailboat can be shown to depend on the boat velocity V, the water density p and viscosity μ, the length of the hull f, and the acceleration due to gravity g. JIH Class 40 Racing Yacht. 30
Transcribed Image Text:2. Outcomes 1 and 4.Show and explain all work. You must show and explain all work. The drag on the hull of a sailboat can be shown to depend on the boat velocity V, the water density p and viscosity μ, the length of the hull f, and the acceleration due to gravity g. JIH Class 40 Racing Yacht. 30
a) Show that the dimensionless drag (drag coefficient, CD) is functionally dependent on the Froude number (V2/fg) and the Reynolds number (pV/μ). b) A Class 40 racing yacht has a length of approximately 14 m. The fastest average speed (over the course of a 24 hour race) recorded for this type of yacht is about 18 kts (9.3 m/s). The density and viscosity of cold seawater are 1030 kg/m² and 1.88 x10-2 kg/m-s, respectively. You wish to test a 1/14 scale model in a towing tank in order to estimate the drag on the yacht hull at 18 kts. What is the tow speed for dynamic similarity? For this condition, what would be the required kinematic viscosity (v = μ/p) of the liquid in the tow tank in order to maintain dynamic similarity with the full-scale yacht? Given that the kinematic viscosity of water is approximately 1 x 10-6 m²/s, does this seem possible?
Transcribed Image Text:a) Show that the dimensionless drag (drag coefficient, CD) is functionally dependent on the Froude number (V2/fg) and the Reynolds number (pV/μ). b) A Class 40 racing yacht has a length of approximately 14 m. The fastest average speed (over the course of a 24 hour race) recorded for this type of yacht is about 18 kts (9.3 m/s). The density and viscosity of cold seawater are 1030 kg/m² and 1.88 x10-2 kg/m-s, respectively. You wish to test a 1/14 scale model in a towing tank in order to estimate the drag on the yacht hull at 18 kts. What is the tow speed for dynamic similarity? For this condition, what would be the required kinematic viscosity (v = μ/p) of the liquid in the tow tank in order to maintain dynamic similarity with the full-scale yacht? Given that the kinematic viscosity of water is approximately 1 x 10-6 m²/s, does this seem possible?
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