Course Coordinator: 
Pinaki Chakraborty
Theoretical and Applied Fluid Mechanics

Explore a wide spectrum of flows from nature to engineering while learning the basic concepts, equations, and methods of fluid mechanics.  Consider conservation laws and constitutive equations, derive the Navier-Stokes equations, and interpret exact and approximate solutions.  Discussion includes an introduction to the theory of hydrodynamic stability and turbulent flows.  

To introduce basic concepts, equations, and methods of the mechanics of fluids.
Course Content: 
  1. Overview of fluid mechanics
  2. Kinematics of flow 
  3. Review of Tensors and the Stress Tensor
  4. Conservation Laws: Mass, Momentum, and Energy
  5. Constitutive Equations: the Navier-Stokes Equations, Boundary Conditions.
  6. Potential Flows
  7. Vortex motion
  8. Dimensional analysis and similarity
  9. Exact solutions of viscous flows
  10. Creeping Flows 
  11. Boundary Layers
  12. Hydrodynamic Stability
  13. Turbulent flows
Course Type: 
Text Book: 
    Reference Book: 
    • An Introduction to Fluid Dynamics by G. Batchelor (2000) Cambridge
    • Fluid Dynamics for Physicists by T. E. Faber (1995) Cambridge University Press
    • Fluid Mechanics by L. D. Landau and E. M. Lifshitz, 2 edn (1987) Butterworth-Heinemann
    • Fluid Mechanics by P. K. Kundu and I. M. Cohen, 5 edn (2011) Academic Press
    • General Continuum Mechanics by T. J. Chung (2007) Cambridge University Press
    • Scaling by G. I. Barenblatt (2003)
    • Vectors, Tensors and the Basic Equations of Fluid Mechanics by Rutherford Aris (1990) Dover
    Prior Knowledge: 
    Prerequisite is A104 Vector and Tensor Calculus, or equivalent.