ApL361
| ApL361 | |
|---|---|
| Advanced Fluid Dynamics | |
| Credits | 3 |
| Structure | 3-0-0 |
| Pre-requisites | APL106 or equivalent Overlaps with: APL360, APL711, APL715, MCL702 |
| Overlaps | |
ApL361 : Advanced Fluid Dynamics
[edit]Derivation of Navier-Stokes (NS) equations; Boundary-conditions and Exact/Similarity solutions. General Boundary-Layer assumption; Free-shear flows; Separation and drag crisis. Low Reynolds Number flows: Stokes Flow; Oseen's Correction; Lubrication Theory. Hydrodynamic Stability Theory: Capillary Instability; Orr-Sommerfeld Equation; Squire's Theorem; Turbulence: Nature of turbulence; Averaging and scales; Reynolds decomposition and the closure problem; Kolmogorov hypotheses and microscales; Reynolds stress; eddy viscosity vs. molecular viscosity. Dynamics of turbulence; balance of kinetic energy, vorticity dynamics, scalar dispersion. Statistics; convergence of averages; correlations and probability density functions. Turbulent shear flows.