2.25 | Fall 2013 | Graduate

Advanced Fluid Mechanics

The Continuum Viewpoint and the Equations of Motion

This section covers lectures 1-3.

Readings

Textbooks

Reading in: Panton, Ronald L. Incompressible Flow. 4th ed. Wiley, 2013. ISBN: 9781118013434. [Preview with Google Books]

  • Chapter 1: Continuum Mechanics
  • Chapter 3: Vector Calculus and Index Notation
  • Chapter 4: Kinematics of Local Fluid Motion

Reading in: Buy at MITPress Fay, James A. Introduction to Fluid Mechanics. MIT Press, 1994. ISBN: 9780262061650. [Preview with Google Books]

  • Chapter 1: Introduction
  • Chapter 2: Fluid Statics
    • 2.1: Forces on a Fluid Particle
    • 2.2: Stress in a Fluid
    • 2.3: Pressure in a Static Fluid
  • Chapter 3: Conservation of Mass
    • 3.1: Kinematics of Fluid Flow
  • Chapter 4: Inviscid Flow
    • 4.1: Criterion for Inviscid Flow
    • 4.2: Acceleration of a Fluid Particle
    • 4.3: Euler’s Equation

Reading in: Tritton, D. J. Physical Fluid Dynamics. Springer, 2013. ISBN: 9780442301323.

  • Chapter 6: Further Basic Ideas
    • 6.1: Streamlines, streamtubes, particle paths and streaklines
    • 6.2: Computations for flow past a circular cylinder

Additional Readings

Class Notes

Videos Seen During Class

Assignment

Problem Set 1

PROBLEMS SOLUTIONS
Particle Kinematics (PDF) Solutions to Particle Kinematics (PDF)
Problem 1.00 (PDF) Solutions to Problem 1.00 (PDF)
Vector Calculus Review Problems (PDF) Solutions to Vector Calculus Review Problems (PDF)

Course Info

As Taught In
Fall 2013
Level
Learning Resource Types
Problem Sets with Solutions
Exams with Solutions