2.25 Advanced Fluid Mechanics
Subject description Survey of principal concepts and methods of fluid dynamics. Mass conservation, momentum and energy equations for continua. Navier-Stokes equation for viscous flows. Similarity and dimensional analysis. Lubrication theory. Boundary layers and separation. Circulation and vorticity theorems. Potential flow. Introduction to turbulence. Lift and drag. Surface tension and surface tension driven flows.
 
Fall 2003
Prof. Ain Sonin Room 3-256 Ext. 3-2247 sonin@mit.edu
 
Prof. Ahmed Ghoniem Room 3-344 Ext. 3-2295 ghoniem@mit.edu  
             
Time and place Lectures: Tuesday and Thursday 9:30-11:00 Room 3-270    
  Tutorials: Wednesday 9:00-10:00 Room 3-132    
    Wednesday 11:00-12:00 Room 3-135    
    Wednesday 3:00-4:00 Room 1-379     
             
Course and texts
Writings
  • Fundamental Laws of Motion for Particles, Material Volumes, and Control Volumes [PDF]
  • On Choosing and Using Control Volumes: Six Ways of Applying the Integral Mass Conservation Theorem to a Simple Problem [PDF]
  • Equation of Motion for Viscous Fluids [PDF]

 

Topics
Section 1 Continuum viewpoint and the equation of motion
Problem Set
Section 2 Static Fluids
Problem Set
Section 3 Mass Conservation
Problem Set
Section 4 Inviscid flow - differential approach: Euler's equation, Bernoulli's integral and the effects of streamline curvature, the general form of Bernoulliís integral.
Problem Set
Section 5 Control volume theorems (integral approach): linear momentum theorem, angular momentum theorem, and first and second laws of thermodynamics.
Problem Set
Section 6 Navier-Stokes equation and viscous flow
Problem Set
Section 7 Similarity and dimensional analysis
Problem Set
Section 8 Boundary layers, separation and the effect on drag and lift
Problem Set
Section 9 Vorticity and circulation
Problem Set
Section 10 Potential flows; lift, drag and thrust production
Problem Set
Section 11 Surface tension and its effect on flows
Problem Set
Section 12 Introduction to Turbulence
Problem Set