Syllabus
Unit 1
Fundamentals of Fluid Dynamics
Differential approach – the Material Derivative, Integral Approach – RTT, Flow visualization – Path Lines, Streamlines, streaklines, Rate of Deformation, Vorticity and Circulation, The Stream Function Equation, The Vorticity Transport Equation, Conservation Equations – mass, momentum, energy, Boundary Conditions.
Exact Solution of Navier Stokes Equation
Couette (wall–driven) steady flow, Poiseuille(Pressure driven)steady duct flow, and Unsteady Duct Flow
Unit 2
Approximate Solution of Navier Stokes Equation
Creeping flow, inviscid region of flow, Irrotational flow – uniform flow, source, sink, doublelet, vortex, Hele – ShawRankine half body, Rankine Oval, Superposition principle
Boundary Layer Theory
Boundary Layer concept, Boundary layer equations for 2D flows, Blasius Similarity Solution, Karman Momentum integral Equation, Boundary layer thicknesses, Boundary Separation with various pressure gradient, Laminar and Turbulent boundary layers and sports ball dynamics
Unit 3
Flow Over Bodies: Drag And Lift
Drag and Lift, Friction and Pressure Drag, Reducing Drag by Streamlining, Flow Separation, Drag Coefficients of Common Geometries, Parallel Flow over Flat Plates, Friction Coefficient Flow over Cylinders and Spheres, D’Alembert’s Paradox. Effect of Surface Roughness, Lift – End Effects of Wing Tips Lift Generated by Spinning
Introduction to turbulence
Nature of Turbulence, Origin of turbulence, Characterization of turbulence,Kolmogorov Hypothesis and Energy Cascade, Reynolds modification of Navier-Stokes equations, Reynolds stresses, Turbulence Models – Prandtl Mixing length Model