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Fluid Mechanics-I Spring 2010

Fluid Mechanics-I Spring 2010. Lecture #07. Why it is?. An object feels lighter and weighs less in a liquid than it does in air. Objects made of wood or other light materials float on water. A steel needle sinks into water and a ship does not.

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Fluid Mechanics-I Spring 2010

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  1. Fluid Mechanics-ISpring 2010 Lecture #07

  2. Why it is? • An object feels lighter and weighs less in a liquid than it does in air. • Objects made of wood or other light materials float on water. • A steel needle sinks into water and a ship does not.

  3. Hydrostatic force on Submerged Surface Parallel to the free Surface

  4. Buoyancy Force • A fluid exerts an upward force on a body immersed in it. This force that tends to lift the body is called the buoyant force and is denoted by FB. • The Buoyant force is equal to the weight of the liquid displaced by the object.

  5. Line of Action of FB • For a body in Static equilibrium, the net force and net moment of the body must be equal to zero. • Therefore, FB must be balanced by weight of the body and it must act upward through the centroid of the body to have zero moment. This is called Archimedes Principle.

  6. Physical Meaning of Center of Buoyancy • COB is the center of gravity of the liquid displaced by the body. Or • COB is the center of area of the submerged section

  7. Line of Action of FB

  8. Effects of Buoyancy • Reduction of Weight • Apparent Weight (Weight of Volume Displaced)

  9. Sink, Float or Suspended Condition

  10. Buoyancy of Gases • The force of buoyancy exerted by the gases on the solid bodies is very small and ignored mostly. For example the air effecting on the human body. • In case of helium balloons and hot air rise in the cooler environment, the buoyancy force becomes important.

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