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Advanced Fluid Mechanics >> Content Detail



Calendar / Schedule



Calendar

The calendar below provides information on the course's lecture (L) and tutorial (T) sessions.


SES #TOPICSKEY DATES
1. The Continuum Viewpoint and the Equation of Motion
L1Introduction: Continuum HypothesisHomework 1 out
L2The Material Derivative

Lagrangian and Eulerian Descriptions

Thermophysical Properties

Compressibility Effects in Gases
T1Tutorial Session
L3Forces Acting on a Continuum

The Inviscid Fluid
2. Static Fluids
L4Static FluidsHomework 2 out
T2Tutorial Session
3. Mass Conservation in Flowing Media
L5Mass Conservation in Flowing MediaHomework 3 out
4. Inviscid Flow
L6Steady Bernoulli EquationHomework 4 out
T3Tutorial Session
L7Unsteady/Generalized Forms of the Bernoulli Equation
5. Control Volume Theorems and Applications
L8The Reynolds Transport TheoremHomework 5 out
T4Tutorial Session
L9Conservation of Mass/Energy/Entropy
T5Tutorial Session
L10Conservation of Linear Momentum

Examples of Conservation of Linear Momentum
T6Tutorial Session
Quiz 1
L11Conservation of Angular Momentum
T7Tutorial Session
6. Navier-Stokes Equation and Viscous Flow
L12Kinematics of DeformationHomework 6 out
L13The Navier-Stokes Equation

Boundary Conditions for Navier-Stokes Equations
T8Tutorial Session
L14Fully Developed Flows, Stability of Viscous Flows
L15Start-up and Transient Flows Similarity Solution for a Flat Plate (The Rayleigh Problem)
T9Tutorial Session
L16Quasi-Fully Developed Flows: Lubrication Theory
T10Tutorial Session
7. Dimensional Analysis
L17The Buckingham Pi Theorem

Physical Significance of Dimensionless Variables
Homework 7 out
T11Tutorial Session
L18Asymptotic Limits of the Governing Equations and Scaling with Dimensionless Variables
8. Potential Flow Theory
L19The Velocity Potential and Streamfunction

Complex Variable Formulation
Homework 8 out
T12Tutorial Session
L20Examples of Potential Flow Solutions
Quiz 2
9. Boundary Layers, Separation and Drag
L21Boundary Layer on a Flat Plate

Effect of a Pressure Gradient

Separation
Homework 9 out
T13Tutorial Session
10. Vorticity and Circulation
L22Definition of Circulations

Kelvin's Circulation Theorems

Lift, Induced Drag
Homework 10 out
T14Tutorial Session
11. Surface Tension and its Importance
L23Free Surface Force Balance

Scaling and Dimensional Analysis
Homework 11 out
L24Sample Flows
T15Tutorial Session
12. Turbulence (v. Brief Introduction)
L25Mean and Fluctuating Quantities

Reynolds Stresses, Eddy Viscosity, Taylor Microscale

Homogeneous and Wall-Bounded Turbulence

Kolmogorov Energy Cascade
Homework 12 out
L26Turbulence (Conclusions)

Course Review
Final Exam

 








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