Viscous Fluid Flow

Overview

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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.

Syllabus

Viscous Fluid Flow [Intro Video].
Lec 1: Preliminary concepts.
Lec 2: Fluid Kinematics.
Lec 3: Derivation of incompressible Navier-Stokes equations.
Lec 4: Initial and Boundary Conditions.
Lec 5: Plane Couette Flow.
Lec 6: Plane Poiseuille Flow.
Lec 7: Plane Poiseuille Flow with Slip and Thin Film Flow.
Lec 8: Combined Couette – Poiseuille Flow.
Lec 9: Example Problems.
Lec 10: Hagen – Poiseuille Flow.
Lec 11: Thin Film Flow and Annular Flow.
Lec 12: Steady Flow Between Rotating Cylinders.
Lec 13: Flow near a plate suddenly set in motion.
Lec 14: Flow due to an oscillating plate.
Lec 15: Transient Plane Couette Flow.
Lec 16: Transient Axisymmetric Poiseuille Flow.
Lec 17: Flow Through Rectangular Duct.
Lec 18: Flow Through Equilateral Triangular Duct.
Lec 19: Flow Through Elliptical Duct.
Lec 20: Example Problems.
Lec 21: Creeping Flow Around a Sphere.
Lec 22: Reynolds Equation for Lubrication.
Lec 23: One-dimensional Slider Bearing.
Lec 24: Journal Bearing and Piston-ring Lubrication.
Lec 25: Derivation of Boundary Layer Equations.
Lec 26: Blasius Flow Over A Flat Plate: Similarity Solution.
Lec 27: Momentum Integral Equation For Flat Plate Boundary Layer.
Lec 28: Falkner-Skan equation: Boundary layer flow over a wedge.
Lec 29: Karman-Pohlhausen Method for Non-zero Pressure Gradient Flows.
Lec 30: The Correlation Method by Thwaites.
Lec 31: Separation of Boundary Layer.
Lec 32: Example Problems.
Lec 33: Two-dimensional Laminar Jet.
Lec 34: Flow in the Wake of a Flat Plate.
Lec 35: Free Shear Layer Between Two Different Streams.
Lec 36: Derivation of Orr-Sommerfeld Equation.
Lec 37: Viscous Stability.
Lec 38: Inviscid Analysis.
Lec 39: Introduction to Turbulent Flows.
Lec 40: Derivation of Reynolds Averaged Navier-Stokes Equations.
Lec 41: External Turbulent Flows.
Lec 42: Integral Solution for Turbulent Boundary Layer Flow.
Lec 43: Internal Turbulent Flow.
Lec 44: Turbulence Modelling.