1.63J/2.26J Advanced Fluid Dynamics


Syllabus
Lecture Notes
Simulations
Problem Sets
Exams&Grades

 

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Chapter 1 : BASICS

1-1: Methods of Describing Fluid Motion Tex
1-2: Kinematics of Fluid Motion - the Eulerian Picture Tex
1-3: Kinematic Transport Theorem Tex
1-4: Forces in the Fluid Tex
1-5: Law of Momentum Conservation Tex
1-6: Relations between Stress and Rate-of-Strain Tensors Tex
1-7: Vorticity Theorem for a Viscous Fluid Tex
1-8: Rayleigh's Problem - Solid Wall as a Source of Vorticity Tex
1-9: Scaling and Similarity Parameters Tex
Math Appendix
Chapter 2 : SLOW FLOWS

2-1: A Thin Fluid Layer Flowing Down an Incline Tex
2-2: Lubrication Approximation for Flow in a Thin Layer Tex
2-3: A Gravity Current Tex
2-4: Spreading of a Shallow Mass on an Incline Tex
2-4.a: Release from a Pile on a Horizontal Plane Tex
2-5: Stokes Flow Past a Sphere Tex
2-6: Oseen's Improvement for Slow Flow Past a Cylinder Tex
2-7: Aerosols and Coagulation Tex
2-8: Selective Withdrawal in an Isothermal Stratified Fluid Tex
2-8.a: Suppression of Vertical Motion in a Stratified Fluid
Chapter 3 : HIGH SPEED FLOWS AND BOUNDARY LAYERS

3-1: Flow of Invisid and Homogeneous Fluids Tex
3-2: Viscous Flow at High Reynolds Numbers Tex
3-3: Two Dimensional Laminar Jet Tex
3-4: The Effects of Pressure Gradient Tex
3-5: Karman's Momentum Integral Approach Tex
3-6: Transient Boundary Layer Along a Flat Plate
3-7: Unsteady Boundary Layers
3-8: Oscillatory Boundary Layers
3-8.a: Details of Perturbation Analysis
3-9: Impulsive Motion of a Blunt Body and Tendency for Separation

Chapter 4 : HEAT AND MASS TRANSPORT

4-1: Heat and Energy Conservation
4-2: Approximations for Small Temperature Variation
4-3: Buoyancy-Driven Convection - the Valley Wind
4-4: Buoyant Plume from a Steady Heat Source
4-5: Selective Withdrawal of Thermally Stratified Fluid
4-6: Dispersion of Suspension in a Steady Shear Flow
4-7: Dispersion in an Oscillatory Shear Flow

Chapter 5 : INTRODUCTION TO INSTABILITY

5-1: Kelvin-Helmholtz Instability for Continuous Shear and Stratification
5-2: Kelvin-Helmholtz Instability of Flow with Discontinuous Shear
5-3: Inviscid Instability Mechanism of Parallel Flows
5-4: Viscous Effects on the Instability of Parallel Flow

Chapter 6 : FLOW AND TRANSPORT IN POROUS MEDIA

6-1: Empirical Basis of Darcy's Law for Seepage Flow
6-2: Micro-scale Basis of Seepage Flow. Theory of Homogenization
6-3: Saffman-Taylor Instability in Porous Layer - Viscous Fingering
6-4: Geothermal Convection in Porous Media
6-5: Geothermal Plume
6-6: Rayleigh-Darcy Instability in a Porous Layer
6-7: Thermohaline Instability in a Porous Layer-Doubly Diffusive Instability
Chapter 7.a : COASTAL GFD

7.a-1: Equations of Motion in Rotating Coordinates
7.a-2: Vorticity in Inviscid Rotating Fluids
7.a-3: The Shallow-Water Approximation
7.a-4: Steady Onshore Wind in a Shallow Sea
7.a-5: Cyclonic Current Forced by a Swirling Wind
7.a-6: Transient Longshore Wind
7.a-7: Free Waves near a Coast in a Sea of Constant Depth
7.a-8: Transient Motion in a Two-Layered Sea
7.a-9: Coastal Upwelling in a Two-Layered Sea

Chapter 7.b : SURFACE TENSION

7.b-1: The Definition and Scaling of Surface Tension
7.b-2: Stress Conditions at a Fluid-fluid Interface
7.b-3: Fluid Statics
7.b-4: Marangoni Flows
7.b-5: Fluid Jets
7.b-6: Fluid Sheets

 

 

 

 

 


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