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Bernoulli's Equation

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Estimated time: 5 minutes
Maharashtra State Board: Class 11

Definition: Coefficient of Viscosity

The viscous force acting per unit area between two layers of fluid moving with unit velocity gradient is called the coefficient of viscosity. Units: dyne-s-cm⁻² or Poise (CGS system), Newton-s-m⁻² or Poiseuille or decapoise (SI system).

Maharashtra State Board: Class 11

Definition: Equation of Continuity

The equation derived from the principle of conservation of mass, which states that the velocity of flow is independent of the liquid (assuming the liquid to be non-viscous) and the velocity of flow will increase if area of cross-section decreases and vice-versa, is called the equation of continuity.

Maharashtra State Board: Class 11

Law: Bernoulli's Theorem

Statement:

"According to this theorem, the total energy (pressure energy, potential energy and kinetic energy) per unit volume or mass of an incompressible and non-viscous fluid in steady flow through a pipe remains constant throughout the flow, provided there is no source or sink of the fluid along the length of the pipe."

Applications of Bernoulli's Theorem:

  • Speed of efflux
  • Venturi tube
  • Lifting up of aeroplane
  • Working of an atomizer
  • Blowing off of roofs by stormy wind
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