Many recreation facilities use inflatable “bubble” structures. A tennis bubble to enclose four courts is shaped roughly as a circular semicylinder with a diameter of 50 ft and a length of 50 ft. The blowers used to inflate the structure can maintain the air pressure inside the bubble at 0.75 in. of water above ambient pressure. The bubble is subjected to a wind that blows at 35 mph in a direction perpendicular to the axis of the semicylindrical shape. Using polar coordinates, with angle θ measured from the ground on the upwind side of the structure, the resulting pressure distribution may be expressed as
where p is the pressure at the surface, p∞ the atmospheric pressure, and Vw the wind speed. Determine the net vertical force exerted on the structure.
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Additional Engineering Textbook Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Manufacturing Engineering & Technology
Statics and Mechanics of Materials (5th Edition)
Applied Fluid Mechanics (7th Edition)
Mechanics of Materials
Engineering Mechanics: Dynamics (14th Edition)
- Q6) The space between two parallel plates is filled with oil. Each side of the plate is 60 cm. the thickness of oil film is 12.5 mm. The upper plate, which moves at 2.5 metre per sec requires a force of 98.1 N to maintain the Speed. Determinearrow_forwardQ6. Two large fixed parallel planes are 12 mm apart. The space between the surfaces is filled with oil of viscosity 0.972 N.s / m². A flat thin plate 0.25 m² area moves through the oil at a velocity of 0.3 m / s. Calculate the drag force: (1) When the plate is equidistant from both the planes, and (ii) When the thin plate is at a distance of 4 mm from one of the plane surfaces.arrow_forwardHow big is the viscous force acting on the 1 μm-radius droplet when it is moving with terminal velocity? On the 10 μm droplet?arrow_forward
- A semi-cylindrical concrete structure having a radius of 5 m and length of 3 m is rested on ground. Wind (air having a density ρ=1,2 kg/m3 ) at a free-sream speed of 3 m/s with an atmospheric pressure of 100 kPa far upstream the structure blows over the structure. The air entrance to the structure is at ground level corresponding to the forward stagnation point . Determine the magnitude of pressure at ground level in terms of gage .Assume flow potential. a. 100 kPa b. 5,4 Pa c. 105,4 Pa d. 5,4 kPa e. 94,6 kPaarrow_forwardA 7-ft-diameter spherical tank completely submerged in freshwater is being towed by a ship at 8 ft/s. Assuming turbulent flow, determine the required towing power.arrow_forward1.)A semi-cylindrical concrete structure having a radius of 5 m and length of 3 m is rested on ground. Wind (air having a density ρ=1,2 kg/m3 ) at a free-sream speed of 3 m/s with an atmospheric pressure of 100 kPa far upstream the structure blows over the structure. The air entrance to the structure is at ground level corresponding to the forward stagnation point . Since the magnitude of minimum pressure is acting on the top of the structure determine the magnitude of lift force due to the pressure difference in vertical direction .Assume flow potential ANSWER: 648 Narrow_forward
- The rectangular wing of a trainer aircraft has a wingspan of 15.3 m and a chord of 3 m, the chord being parallel to the direction of the airflow. The aircraft is flying at standard sea level conditions with a velocity of 97 mps. Considering laminar flow only, determine total skin friction drag (N, 2 decimals).arrow_forwardA relative airflow of 100 ft/s is flowing round the cylinder which has a diameter of 2 ft, and a length of 8 ft. Determine the total lift it creates when it is rotating at a rate of 1800 rpm at standard sea level.-round off to 4 decimal places-show complete solutionarrow_forwardThe 1.5-in (0.125-ft) gap between two large plane surfaces is filled with SAE-30 oil at 80 °F (μ=0.0063 lb.s/ft2). What force is required to drag a very thin plate of 5-ft2 area between the surfaces at a speed of 0.5 ft/s if this plate is equally spaced between the two surfaces.arrow_forward
- Using the following streamline pattern, draw an appropriate control volume on the topside of the airfoil and describe how the airfoil creates a lift force based on the equations for conservation of mass and momentum.arrow_forwardAn open rectangular tank 1 m wide and 2 m long contains gasoline to a depth of 1 m. If the height of the tank sides is 1.5 m, what is the maximum horizontal acceleration (along the long axis of the tank) that can develop before the gasoline would begin to spill? notw: include free body diagramarrow_forwardAir having the standard sea level density and a velocity of 100 fps at a section of a wind tunnel while on the other section, having an area half as great as of the first section, the flow velocity is 400 mph. What is the density at the second section?arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY