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Elementary Mechanics of Fluids

Elementary Mechanics of Fluids. CE 319 F Daene McKinney. Buoyancy. Seawater ( g =10.1 kN/m 3 ). Buoy. Cable. F B. W. T. Example.

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Elementary Mechanics of Fluids

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  1. Elementary Mechanics of Fluids CE 319 F Daene McKinney Buoyancy

  2. Seawater (g=10.1 kN/m3) Buoy Cable FB W T Example Spherical buoy has a diameter of 1.5 m, weighs 8.50 kN, and is anchored to the sea floor with a cable as shown. The buoy normally floats on the surface, at other times the water depth increases so that the buoy is completely immersed as shown. What is the tension in the cable?

  3. Archimedes Principle • Archimedes PrincipleFB = weight displaced fluid • Line of action passes through the centroid of displaced volume

  4. Hydrometer • Buoyant force FB = weight of the hydrometermust remain constant • Hydrometer floats deeper or shallower depending on the specific weight of the fluid

  5. Example A hydrometer weighs 0.0216 N and has a stem at the upper end that is cylindrical and 2.8 mm in diameter. How much deeper will it float in oil of S=0.78 than in alcohol of S=0.821? h For position 1: 1 2 For position 2: S = 0.821 S = 0.780

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