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. |
Text/Reference Books:
- Panton R.L., Incompressible Flow, Wiley.
- White F.M., Viscous Fluid Flow, McGraw-Hill.
- Schlichting H., and Gersen K., Boundary Layer Theory, Springer.
- Batchelor G.K., An Introduction to Fluid Dynamics, Cambridge University Press.
- Pope S.B., Turbulent Flows, Cambridge University Press
- Aris R., Vectors, Tensors and the Basic Equations of Fluid Mechanics, Dover Publications.
- Kundu P.K., and Cohen I.M., Fluid Mechanics with Multimedia DVD, AP / Elsevier.
- Munson B.R., Young D.F., Okiishi T.H., and Huebsch W.W., Fundamentals of Fluid Mechanics Wiley.
- Davidson P.A., Turbulence, An Introduction for Scientists and Engineers, Oxford.
- Townsend A.A., The Structure of Turbulent Shear Flows, Cambridge University Press.
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