Fluid Motion & Non-Inertial Systems



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Lectures

  • Lecture 1. [Streamline & Turbulent Flow]
  • Lecture 2. [Poiseuille's Equation]
  • Lecture 3. [Stokes Flow]
  • Lecture 4. [Inertial Systems]
  • Lecture 5. [Uniformly Accelerated System]
  • Lecture 6. [EOM in Rotating Frames]
  • Lecture 7. [Motion on Earth Surface]
  • Lecture 8. [Flow of Dry water]
  • Lecture 9. [Euler's equation]
  • Lecture 10. [Infamous laws]
  • Lecture 11. [Flow of Wet water]

Homework

Remarks

Topics

  1. Fluid Motion:
    • Viscosity: Poiseuille's equation for Flow of a viscous Liquid through a Capillary Tub.
    • Kinematics of Moving Fluids: Idea of compressible and incompressible fluids, Equation of continuity, streamline and turbulent flow, Reynold's number. Euler's Equation. The special case of fluid statics F = ∇p, Simple applications (e.g: Pascal's law and Archimedes principle).
  2. Non-inertial Frame:
    • Galilean transformations and Galilean invariance.
    • Non-inertial frames and idea of fictitious forces:
      • E.O.M with respect to a uniformly accelerating frame.
      • E.O.M with respect to a uniformly rotating frame - Centrifugal and Coriolis forces.
      • Laws of Physics in a laboratory on the surface of the earth.

Study Materials

  1. Classical Mechanics and General Properties of Matter - S.N. Maiti and D.P. Raychaudhuri.
  2. General Properties of Matter - Sengupta Chatterjee.
  3. General Properties of Matter - D.S. Mathur.
  4. Feynman Lectures in Physics (Vol.1 & 2).
  5. The Finite Volume Method in Computational Fluid Dynamics - F. Moukalled, L. Mangani & M. Darwish.
  6. Fluid Mechanics (Vol.6) & Theory of Elasticity (Vol.7) - L.D. Landau & E.M. Lifshitz.
  7. An Introduction to Mechanics - D. Kleppner, R.J. Kolenkow.
  8. Mechanics - Berkeley Physics (Vol.1) - C.Kittel, W.Knight et.al.
  9. Physics - Resnick, Halliday and Walker.