APL100
| APL100 | |
|---|---|
| and EC 50 | |
| Credits | 4 |
| Structure | 3-0-2 |
| Pre-requisites | APL100 and EC 50 |
| Overlaps | |
APL100 : and EC 50
[edit]Introduction to Cartesian tensors. The Navier Stokes Equations: Derivation via continuum mechanics; Boundary conditions; surface tension; Exact Solutions; Steady and unsteady problems; Similarity solutions. Laminar Boundary-Layers: Order of magnitude analysis; Blasius solution; Von Kármán Momentum Integral; Free-shear flows. Low Reynolds Number flows: Stokes Flow; Oseen's Correction. Lubrication Approximation. Hydrodynamic Stability Theory: Capillary Instability; Orr-Sommerfeld Equation; Rayleigh Equation. Inflection Point Criterion. Rotating flows. Introduction to Turbulent Flows: Reynolds decomposition; Closure problem. Scaling arguments; energy cascade and vorticity dynamics.