Introduction to Tensors & Tensors Equations. Concept of continuum and definition of a fluid. Body and surface forces, stress tensor, scalar and vector fields. Eulerian and Lagrangian description of flow.Motion of fluid element - translation, dilation, strain, rotation and vorticity. Strain rate & rotation rate tensors. Continuity equation, stream function and velocity potential. Transport theorems, constitutive equations, Derivation of Navier-Stokes equations for compressible flow, Newtonian Fluid & Constant Property Incompressible Navier-Stokes equation. Exact solutions of Navier Stokes equations. Slow viscous flow: Stokes and Oseen's approximation. Theory of hydrodynamic lubrication. Boundary layers: Exact, Approximate & Numerical solutions. Free Shear Flows – Jets & Wakes. Introduction to Turbulent Flow – Reynolds Stress, Turbulent Viscosity Hypothesis.
Recommended Books:
- Incompressible Flow 3ed - R. L. Panton – Wiley
- Viscous Fluid Flow 3ed - F. M. White - McGraw-Hill
- Boundary Layer Theory 8 Ed - H. Schlichting& K. Gersten – Springer
- An Introduction to Fluid Dynamics – G. K. Batchelor – Cambridge University Press
- Turbulent Flows – S. B. Pope – Cambridge
- Vectors, Tensors and the Basic Equations of Fluid Mechanics – Rutherford Aris - Dover
- Fluid Mechanics with Multimedia DVD, 4ed - Pijush K. Kundu, Ira M. Cohen – AP / Elsevier
- Fundamentals of Fluid Mechanics 6ed - Bruce R. Munson, Donald F. Young, Theodore H. Okiishi, Wade W. Huebsch - Wiley
- Turbulence, An Introduction for Scientists and Engineers – P. A. Davidson – Oxford
- The Structure of Turbulent Shear Flows – A. A. Townsend
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