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Aula 9

Aula 9. Escoamento na camada limite sobre uma placa plana . Bernoulli’s Equation: Introduction.

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Aula 9

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  1. Aula 9

  2. Escoamento na camada limite sobre uma placa plana

  3. Bernoulli’s Equation: Introduction Swiss mathematician, son of Johann Bernoulli, who showed that as the velocity of a fluid increases, the pressure decreases, a statement known as the Bernoulli principle. He won the annual prize of the French Academy ten times for work on vibrating strings, ocean tides, and the kinetic theory of gases. For one of these victories, he was ejected from his jealous father's house, as his father had also submitted an entry for the prize. His kinetic theory proposed that the properties of a gas could be explained by the motions of its particles. P V Daniel Bernoulli (1700-1782) • Acceleration of Fluid Particles give Fluid Dynamics • Newton’s Second Law is the Governing Equation • Applied to an Idealized Flow and Assumes Inviscid Flow • There are numerous assumptions • “Most Used and Abused Equation” The Bernoulli Equation is Listed in Michael Guillen's book "Five Equations that Changed the World: The Power and Poetry of Mathematics"

  4. Partícula movendo-se ao longo de uma linha de corrente

  5. Equação de Bernoulli

  6. Considerações  • Escoamento não viscoso; • Escoamento permanente; • Ao longo de uma linha de corrente; • Massa específica constante

  7. Equação de Bernoulli Carga piezométrica Pressão estática Pressão total

  8. Medidores de Pressão (a) tubo piezométrico; (b) tubo de pitot; (c) tubo de pitot estático

  9. Escoamentos internos não viscosos: a) escoamento através de uma contração; (b) escoamento a partir de um tanque pressurizado

  10. Flow around a sphere: (a) inviscid flow; (b) actual flow.

  11. Exit flow into the atmosphere.

  12. 3.51- Aproxime a força agindo sobre um farol de 15cm de diâmetro, mostrado na figura abaixo, de um automóvel viajando a 120Km/h

  13. 3.52 Um aspirador de pó é capaz de criar um vácuo de 2kPa logo na entrada da mangueira, conforme ilustrado abaixo. Qual a velocidade média máxima esperada na mangueira

  14. 3.56 Um campo de escoamento não-viscoso e incompressível mostrado na figura abaixo é dado por: Se a pressão em ou seja Encontre uma equação para a pressão desprezando os efeitos da gravidade:

  15. a)

  16. b) c) d)

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