Credits: 4 (3-0-2)
Prerequisites: APL100 and EC 50
Description
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.
Prerequisite Tree
flowchart TD
APL360-27[APL360]
APL360-27 --> APL100-27[APL100]
APL360-27 --> EC50-27[EC50]
classDef empty height:17px, fill:transparent, stroke:transparent;
classDef trueEmpty height:0px, width:0px;