Lec 3: Derivation of incompressible Navier-Stokes equations
5
Lec 4: Initial and Boundary Conditions
6
Lec 5: Plane Couette Flow
7
Lec 6: Plane Poiseuille Flow
8
Lec 7: Plane Poiseuille Flow with Slip and Thin Film Flow
9
Lec 8: Combined Couette – Poiseuille Flow
10
Lec 9: Example Problems
11
Lec 10: Hagen – Poiseuille Flow
12
Lec 11: Thin Film Flow and Annular Flow
13
Lec 12: Steady Flow Between Rotating Cylinders
14
Lec 13: Flow near a plate suddenly set in motion
15
Lec 14: Flow due to an oscillating plate
16
Lec 15: Transient Plane Couette Flow
17
Lec 16: Transient Axisymmetric Poiseuille Flow
18
Lec 17: Flow Through Rectangular Duct
19
Lec 18: Flow Through Equilateral Triangular Duct
20
Lec 19: Flow Through Elliptical Duct
21
Lec 20: Example Problems
22
Lec 21: Creeping Flow Around a Sphere
23
Lec 22: Reynolds Equation for Lubrication
24
Lec 23: One-dimensional Slider Bearing
25
Lec 24: Journal Bearing and Piston-ring Lubrication
26
Lec 25: Derivation of Boundary Layer Equations
27
Lec 26: Blasius Flow Over A Flat Plate: Similarity Solution
28
Lec 27: Momentum Integral Equation For Flat Plate Boundary Layer
29
Lec 28: Falkner-Skan equation: Boundary layer flow over a wedge
30
Lec 29: Karman-Pohlhausen Method for Non-zero Pressure Gradient Flows
31
Lec 30: The Correlation Method by Thwaites
32
Lec 31: Separation of Boundary Layer
33
Lec 32: Example Problems
34
Lec 33: Two-dimensional Laminar Jet
35
Lec 34: Flow in the Wake of a Flat Plate
36
Lec 35: Free Shear Layer Between Two Different Streams
37
Lec 36: Derivation of Orr-Sommerfeld Equation
38
Lec 37: Viscous Stability
39
Lec 38: Inviscid Analysis
40
Lec 39: Introduction to Turbulent Flows
41
Lec 40: Derivation of Reynolds Averaged Navier-Stokes Equations
42
Lec 41: External Turbulent Flows
43
Lec 42: Integral Solution for Turbulent Boundary Layer Flow
44
Lec 43: Internal Turbulent Flow
45
Lec 44: Turbulence Modelling
Description:
COURSE OUTLINE: Viscous fluid flow covers the fundamentals of fluid mechanics from an advanced point of view with emphasis on the mathematical treatment of viscosity effects in Newtonian fluid flows. This course will cover the derivation of Navier-Stokes equations, exact solutions for simplified configurations, creeping flows , Stokess first and second problems, laminar boundary layers, wall-bounded and free-shear boundaries and hydrodynamic stability with an introduction to turbulence.