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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. |
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Fall 2003 | Prof. Ain Sonin | Room 3-256 | Ext. 3-2247 | sonin@mit.edu |
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Prof. Ahmed Ghoniem | Room 3-344 | Ext. 3-2295 | ghoniem@mit.edu |
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Time and place | Lectures: | Tuesday and Thursday | 9:30-11:00 | Room 3-270 |
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Tutorials: | Wednesday | 9:00-10:00 | Room 3-132 |
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Wednesday | 11:00-12:00 | Room 3-135 |
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Wednesday | 3:00-4:00 | Room 1-379 |
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Course and texts |
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Writings
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Topics |
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Section 1 | Continuum viewpoint
and the equation of motion Problem Set |
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Section 2 | Static Fluids Problem Set |
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Section 3 | Mass Conservation Problem Set |
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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 |
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Section 5 | Control volume
theorems (integral approach): linear momentum theorem, angular momentum
theorem, and first and second laws of thermodynamics. Problem Set |
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Section 6 | Navier-Stokes
equation and viscous flow Problem Set |
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Section 7 | Similarity
and dimensional analysis Problem Set |
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Section 8 | Boundary layers,
separation and the effect on drag and lift Problem Set |
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Section 9 | Vorticity and
circulation Problem Set |
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Section 10 | Potential flows;
lift, drag and thrust production Problem Set |
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Section 11 | Surface tension
and its effect on flows Problem Set |
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Section 12 | Introduction
to Turbulence Problem Set |
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