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BERNOULLI’S THEOREM

BERNOULLI’S THEOREM. Bernoulli’s theorem is an out come of the principle of conservation of energy applied to a liquid in motion.

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BERNOULLI’S THEOREM

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  1. BERNOULLI’S THEOREM Bernoulli’s theorem is an out come of the principle of conservation of energy applied to a liquid in motion

  2. This theorem states that for the stream line flow of an ideal liquid, the total energy (the sum of pressure energy, potential energy and kinetic energy) per unit mass remains constant at every cross-section throughout the flow. The ideal liquid is one which is perfectly in compressible and non viscous

  3. P1=pressure applied on liquid A P2=pressure applied at the end B, which liquid is to move out.h1,h2=mean height of section A and B from the ground or a reference level.V1,V2=normal velocity of the liquid flow at the section A and B

  4. APPLICATIONS OF BERNOULLI’S THEOREM What’s it take to create lift? Lift on a aero plane wing ANS Air and motion.

  5. How do we explain lift? Newton’s Laws of Motion and Bernoulli’s Principal are used to explain lift.

  6. Newton’s Second Law: force causes a change in velocity which in turn generates another force. Newton’s Third Law: net flow of air is turned down resulting in an ‘equal and opposite’ upward force.

  7. Newton’s Third Law states that for every action there is an equal and opposite reaction.

  8. Venturi Tube • Bernouli’s first practical use of his theorem • Where are venturi tubes used today?

  9. Hold two sheets of paper together, as shown here, and blow between them. No matter how hard you blow, you cannot push them more than a little bit apart!

  10. Blowing off the roofs during storm During storms or cyclones, the roofs of the huts or tinned roofs are generally blown off without causing any damage to house.

  11. Pressure of air P1 under the roof is very large i.e. P1>P2. The difference of pressure ,provides a vertical lift to the roof of hut . When lift is sufficient to over come the gravity pull on the roof, the roof of the hut is blown off without causing any damage to the walls of the hut

  12. Curved motion of spinning ball (Magnus effect) Wind tunnel photograph of a "curve ball

  13. View from above, ball spinning clockwise moving right to left, shedding vortices down and curving up in the photograph. (Right-handed pitcher throws side-arm letting the ball slip off the end of fingers.)

  14. SOME DIAGRAMS

  15. Bad Good explanation for levitating ball and airplane wing

  16. THANK YOU!!!

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