Mechanical Properties of Fluids

Streamline Flow

  • If the motion of parallel layers is an orderly fashion and maintains uniform velocity gradient , it is called streamline flow or Laminar flow.
  • The path followed by a fluid particle is called streamline.
  • The velocity at a point in a fluid remains constant both in magnitude and direction.
  • No two streamlines intersect because at the point of intersection two direction for a particle which is impossible.
  • The tangent drawn to the streamline gives the direction of velocity.
  • According to the equation of continuity the mass of the liquid entering the tube at one end is equal to the mass leaving at other end.
  • The product of area of cross section of tube and velocity of flow at that point is constant. A1V1=A2V2
  • If the motion of parallel layers of fluid is in disorder and maintain different velocity at the same point the flow is called turbulent flow.
  • Reynold number is a pure number which decides the flow is streamline or turbulent.
  • Critical velocity is the velocity at which stream line flow charges to turbulent flow.
  • Reynold number depends upon the diameter of pipe.
  • 0 < R < 1000 the flow is said to be streamline
    R > 2000 the flow becomes turbulent.
  • Density of a liquid to density of water called Relative density.

View the Topic in this video From 36:35 To 47:32

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1. A mass m oscillating with frequency ω0, the equation is \tt \frac{d^{2}x}{dt^{2}}+\omega_0^{2} x=0