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530.327 Introduction to Fluid Mechanics (fall 2009)
MWF 10-11 am, Hodson 311
(course schedule)
Instructor: Prof. Lester Su, Latrobe 229, 6-8637, lsu: jhu.edu
Office hours: M 4-5, F 9-10
TAs: Kunlun Bai, Latrobe B31, kbai2: jhu.edu
Office hours: M 1-2
Yuan Lu, Latrobe B31, ylu11: jhu.edu
Office hours: T 1-2
This course equips students with the fundamental mathematical tools and physical insight necessary to approach realistic fluid flow problems in engineering systems. Areas covered include physical properties of fluids; fluid statics; control volumes; fluid kinematics; conservation principles; Bernoulli's equation; dimensional analysis; the Navier-Stokes equations; laminar and turbulent viscous flows; and external flows, lift and drag. Laboratory assignments provide physical examples to complement the analytical treatment in lectures and homework assignments. (syllabus)
Course schedule (updated 11.20.09)
| Date |
Subjects |
Reading |
Assignments |
| 2 Sept |
Introduction; fluid properties |
Ch. 1 |
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| 4 Sept |
Fluid properties |
Ch. 1, 2.1, 2.2 |
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| 7 Sept |
(Labor day - no class) |
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HW 1 due 9/8 (solutions) |
| 9 Sept |
Stresses; viscosity |
Ch. 2.3, 2.4 |
Quiz 1 |
| 11 Sept |
Viscosity; flow classification |
Ch. 2.4, 2.6 |
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| 14 Sept |
Fluid statics |
Ch. 3.1, 3.3; notes |
HW 2 due 9/15 (solutions) |
| 16 Sept |
Hydrostatic forces |
Ch. 3.5 |
Quiz 2 (solutions) |
| 18 Sept |
Hydrostatic forces |
Ch. 3.5; notes |
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| 21 Sept |
Buoyancy; control volumes |
Ch. 3.6, 4.1, 4.2 |
HW 3 due 9/22 (solutions) |
| 23 Sept |
Conservation of mass |
Ch. 4.3 |
Quiz 3 (solutions) |
| 25 Sept |
Momentum equation |
Ch. 4.4; notes |
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| 28 Sept |
Momentum equation: moving reference frames |
Ch. 4.4, 4.5; notes |
HW 4 due 9/29 (solutions) |
| 30 Sept |
Moving reference frames; rocket problem |
Ch. 4.5, 4.7 |
Quiz 4 (solutions) |
| 2 Oct |
Angular momentum equation |
Ch. 4.7 |
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| 5 Oct |
Differential forms: Euler's equation |
Ch. 4.4, 6.1, 6.2 |
HW 5 due 10/6 (solutions) |
| 7 Oct |
Bernoulli's equation; lab intro. |
Ch. 6.3 |
Quiz 5 (solutions) |
| 9 Oct |
Bernoulli's equation: examples, static and stagnation pressures |
Ch. 6.3 |
Lab 1 this week (Th/F) (supplement; report instructions) |
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| 12 Oct |
Bernoulli's equation: examples and d'Alembert's paradox |
Ch. 6.3 |
HW 6 due 10/12 (solutions) |
| 14 Oct |
First exam (solutions) |
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| 16 Oct |
D'Alembert's paradox; Dimensional analysis: Pi-theorem |
Ch. 6.3, 7.2-7.4, 7.5 |
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| 19 Oct |
Dimensional analysis: Pi-theorem, examples |
Ch. 7.4 |
HW 7 due 10/20 (solutions) |
| 21 Oct |
Non-dimensional numbers in fluids; flow similarity |
Ch. 7.5, 7.6 |
Quiz 6 (solutions) |
| 23 Oct |
Flow similarity; differential forms: continuity equation |
Ch. 7.5, 7.6, 5.1, 5.4; notes |
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| 26 Oct |
Continuity and Navier-Stokes equations |
Ch. 5.1, 5.4; notes |
HW 8 due 10/27 (solutions) |
| 28 Oct |
Navier-Stokes equations |
Ch. 8.2, 8.3 |
Quiz 7 (solutions) |
| 30 Oct |
Navier-Stokes equations: examples |
Ch. 8.2, 8.3 |
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| 2 Nov |
Navier-Stokes equations: examples; pipe flow: conservation of energy, head loss |
Ch. 8.2, 8.3, 4.8 |
HW 9 due 11/3 (solutions) |
| 4 Nov |
Pipe flow: conservation of energy, head loss |
Ch. 4.8, 8.6 |
Quiz 8 (solutions) |
| 6 Nov |
Pipe flow: head loss, turbulence, major losses, Moody diagram |
Ch. 8.4-8.7 |
Lab 2 this week |
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| 9 Nov |
Pipe flow: major losses, Moody diagram, examples |
Ch. 8.6-8.8 |
HW 10 due 11/11 (Weds) (solutions) |
| 11 Nov |
Pipe flow: minor losses |
Ch. 8.7, 8.8 |
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| 13 Nov |
Pipe flow: minor losses; external flows |
Ch. 8.7, 8.8, 2.6, 9.1, 9.2 |
Quiz 9 (solutions) |
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| 16 Nov |
Extermal flows; boundary layers, thickness definitions |
Ch. 9.1, 9.2 |
HW 11 due 11/19 (Thurs) (solutions) |
| 18 Nov |
Boundary layers: thickness definitions, momentum integral eq., growth rates |
Ch. 9.2, 9.4, 9.5 |
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| 20 Nov |
Boundary layers: friction drag; effect of pressure gradients; pressure drag |
Ch. 9.5-9.7; notes |
Lab 3 this week |
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| 23 Nov |
Second exam (old exams: fall 06, fall 07, fall 08) |
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| 25-27 Nov |
(Thanksgiving break) |
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| 30 Nov |
Drag: streamlining; example problems |
Ch. 9.6, 9.7 |
HW 11 due 12/1 |
| 2 Dec |
Drag: examples; Lift: airfoils |
Ch. 9.7, 9.8 |
Quiz 10 |
| 4 Dec |
Lift: airfoils |
Ch. 9.8 |
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| 7 Dec |
(Final day of class) Lift: airfoils, Magnus force |
Ch. 9.8 |
HW 12 due 12/7 |
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| 15 Dec (Tuesday) |
Final exam (2 pm - 5 pm) |
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All course materials © 2009 by Lester K. Su.
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