ME61003: Advanced Fluid Mechanics

ME61003
Course name	Advanced Fluid Mechanics
Offered by	Mechanical Engineering
Credits	4
L-T-P	3-1-0
Previous Year Grade Distribution
11 7 8 3 1 EX A B C D P F
Semester	Autumn

Syllabus

Syllabus mentioned in ERP

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, rotation and vorticity; strain rate tensor, continuity equation, stream function and velocity potential. Constitutive equations, derivation of Navier;Stokes equations. Exact solutions of Navier;Stokes equations: plane Poiseuille flow and Couette flow, Hagen;Poiseuille flow, flow between two concertic rotating cylinders, Stokes first and second problem, Hiemenz flow, flow near a rotating disk, flow in convergent-divergent channels. Slow viscous flow: Stokes and Oseen s approximation, theory of hydrodynamic lubrication. Thin-film equations. Boundary layer: derivation, exact solutions, Blasius, Falkner Skan, series solution and numerical solutions. Approximate methods. Momentum integral method. Two dimensional and axisymmetric jets. Introduction to Hydrodynamic stability: linear stability of plane Poiseuille flow, Orr;Sommerfeld equation. Description of turbulent flow, velocity correlations, Reynolds stresses, Prandtl s Mixing Length Theory, Karman s velocity defect law, universal velocity distribution. Concepts of closure model, eddy viscosity models of turbulence- zero equation, one equation and two-equation models.

Time Table

Day	8:00-8:55 am	9:00-9:55 am	10:00-10:55 am	11:00-11:55 am	12:00-12:55 pm		2:00-2:55 pm	3:00-3:55 pm	4:00-4:55 pm	5:00-5:55 pm
Monday					NC234
Tuesday			NC234	NC234
Wednesday
Thursday	NC234
Friday