

Subject description  Survey of principal concepts and methods of fluid dynamics. Mass conservation, momentum and energy equations for continua. NavierStokes 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 3256  Ext. 32247  sonin@mit.edu  
Prof. Ahmed Ghoniem  Room 3344  Ext. 32295  ghoniem@mit.edu  
Time and place  Lectures:  Tuesday and Thursday  9:3011:00  Room 3270  
Tutorials:  Wednesday  9:0010:00  Room 1132  
Wednesday  11:0012:00  Room 1135  
Wednesday  3:004:00  Room 1379  
Course and texts  
Writings


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  NavierStokes
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 