Daniel bernoulli economics

Bernoulli's principle

  • 1. 1 Bernoulli's Principle and Application Ang Sovann
  • 2. 2 Fluid flow  Amount of volume of fluid that passes through an area (pipe) per time called Volume flow rate.  Q : volume flow rate (m3/s)  V : volume of fluid (m/s)  t : time (s)
  • 3. 3 Fluid flow  Amount of mass of the fluid that passing a point (pipe) in the system per unit time called Mass flow rate.
  • 4. 4 Fluid flow  Flow rate depends on the pressure differences in the region.  R : flow resistance
  • 5. 5 Fluid flow  Resistance is the factor that reduce the flow of fluid.  Friction of the fluid with the pipe (elbow, fitting, valve, pipe surface…)  Friction within the fluid which known as Viscosity.
  • 6. 6 Viscosity  Viscosity is a measure of a fluid's resistance to flow.  It describes the internal friction of a moving fluid.  Viscosity means friction between the molecules of fluid.
  • 7. 7 Viscosity
  • 8. 8 Viscosity
  • 9. 9 Fluid flow characteristic  Flow of fluid has two types: 1. Laminar flow 2. Turbulent
  • 10. 10 Laminar flow  fluid follows a smoo

    Daniel Bernoulli

    Daniel Bernoulli (8 de febreru de 1700, Groningen – 17 de marzu de 1782, Basilea) foi un matemáticu, estadísticu, físicu y médicuholandés-suizu. Destacó non yá en matemática pura, sinón tamién nes llamaes aplicaes, principalmente estadística y probabilidá. Fixo importantes contribuciones en hidrodinámica y elasticidá.

    Vida

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    Daniel Bernoulli provenía de la saga familiar de Bernoulli, que xeneró grandes meyores matemátiques a lo llargo de la historia. Yera fíu de Johann Bernoulli y nació en Groningen, Países Baxos, onde'l so padre yera entós profesor de matemátiques. En 1705, el so padre llogra una plaza na Universidá de Basilea y la familia torna a la ciudá suiza d'onde yera orixinaria.

    Por deséu del so padre estudió Medicina na Universidá de Basilea, ente qu'al empar, na so casa, el so hermanu mayor Nicolau y el so padre ampliaben les sos conocencies matemátiques. Daniel remató los estudios de Medicina en 1721. En principiu intentó entrar como profesor na Universidá de Basilea,

    Hydrodynamica

    Book by Daniel Bernoulli

    Hydrodynamica (Latin for Hydrodynamics) is a book published by Daniel Bernoulli in 1738.[1][2] The title of this book eventually christened the field of fluid mechanics as hydrodynamics.

    Contents

    The book deals with fluid mechanics and is organized around the idea of conservation of energy, as received from Christiaan Huygens's formulation of this principle. The book describes the theory of water flowing through a tube and of water flowing from a hole in a container. In doing so, Bernoulli explained the nature of hydrodynamic pressure and discovered the role of loss of vis viva in fluid flow, which would later be known as the Bernoulli principle. The book also discusses hydraulic machines and introduces the notion of work and efficiency of a machine. In the tenth chapter, Bernoulli discussed the first model of the kinetic theory of gases. Assuming that heat increases the velocity of the gas particles, he demonstrated that the pressure of air is proportional to kinetic energy of gas particles, thus

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