Reference no: EM132645004

CVEN-3313 Fluid Mechanics - University of Colorado Denver

Problem 1: Aircraft Atmosphere

Consider an Airbus A330, whose cargo hold has a volume of 43.3 m3. Assume the passenger compartment has the same volume, a temperature of 15oC, and a pressure matching the International Civil Aviation Organization (ICAO) standard atmosphere at an elevation of 2,000 m. Air MW = 29 g/mol, and recall Ro = 8.314 N.m/mol.K.
Hint, see Canvas, Week 1, Fluid Property Tables.

Part A
How many kilograms of air are contained inside the passenger compartment?

Part B
How many extra kilograms of air would be required to pressurize the passenger compartment to the ICAO standard atmosphere at sea level?

Problem 2: Aircraft Pressure

Now consider the door to the A330. Assume the door is 3.0 ft wide and 6.0 ft tall, measured from the top edge straight down to the bottom edge. Its radius of 6.0 ft matches the aircraft body.
The airline pressurizes the cabin to ICAO standard pressure at 5,000 ft. The aircraft cruises at an elevation of 40,000 ft.
Hint, see Canvas, Week 1, Fluid Property Tables.

Part A
What is the magnitude of the resultant horizontal hydrostatic force on the door? [lb]

Part B
What is the location of the resultant hydrostatic force on the door?

Problem 3: Hydrostatic Loads

Kaiser Steel (1982)

You are a structural engineer designing the hinge for a radial gate that is 42 ft wide (i.e., into the page) with a radius of r = 20 ft. By scaling the relevant dimensions off the drawing above, estimate the horizontal load on the hinge when the gate is in the position shown. [tons]
Hint, 1 ton = 2000 lb.

Problem 4: Buoyancy I

Pontoon bridges use buoyant forces to support loads. This problem will ask you to consider a 10 ft section of the pontoon bridge sketched below. The bridge deck is 4 ft wide, and each 10 ft section has five 55 gallon drums on each side. Each drum has a diameter of 22 in, so the cross-sectional area of each drum is 2.64 ft2, and each drum is 2.79 ft tall. Assume the bridge deck and the bracing system for the drums weigh 2300 lb per 10 ft section but occupy negligible volume. The bridge floats in water with γ = 62.3 lb/ft3.

Part A
What is the cross-sectional area of all ten drums? [ft2]

Part B
What is the volume of all ten drums? [ft3]

Part C
When the bridge is unloaded, what length of the drums will be underwater? [ft]

Part D
How much weight can each 10 ft section carry without sinking? [lb]

Problem 5: Buoyancy II

This Russian K-162 class submarine had a volume of about 12,095 m3. Assume 1/3 of the vessel's volume is above the water surface. How much seawater must the submarine take on board to become neutrally buoyant (i.e., on the verge of sinking-to allow cruising underwater)? Assume seawater
ρ = 1,025 kg/m3 and γ = 10,063 N/m3.

Problem 6: Constant Acceleration

Consider a bathtub on a luxury train. Before the train leaves the station, the bathtub is completely full. If the train has an acceleration of 12.8 ft/s2, how much water will spill [ft3]? The dimensions of the bathtub are 5.0 ft long (i.e., in the direction of movement), 2.5 ft deep, and 3.0 ft wide.

Attachment:- Fluid Mechanics.rar