B13
Theoretical and Applied Fluid Mechanics
Course Coordinator: 
Pinaki Chakraborty
Description: 

We will introduce basic concepts of flow of fluids. We will discuss conservation laws and constitutive  equations. We will derive the Navier-Stokes equations, and study its exact and approximate solutions. Last, we will introduce the theory of hydrodynamic stability and then discuss turbulent flows. Throughout the course we will discuss a wide spectrum of flows from nature and engineering.

Aim: 
To introduce basic concepts, equations, and methods of the mechanics of fluids.
Detailed Syllabus: 
  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: 
Elective
Credits: 
2
Text Book: 
No textbook is set.
Reference Book: 
Fluid Mechanics by L. D. Landau and E. M. Lifshitz, 2 edn (1987) Butterworth-Heinemann
Vectors, Tensors and the Basic Equations of Fluid Mechanics by Rutherford Aris (1990) Dover
General Continuum Mechanics by T. J. Chung (2007) Cambridge University Press
Fluid Dynamics for Physicists by T. E. Faber (1995) Cambridge University Press
An Introduction to Fluid Dynamics by G. Batchelor (2000) Cambridge
Scaling by G. I. Barenblatt (2003)
Fluid Mechanics by P. K. Kundu and I. M. Cohen, 5 edn (2011) Academic Press