MIT OpenCourseWare

Browse materialsMIT 2.25 · Fall 2013

Advanced Fluid Mechanics

Art: Robison, John, 1739-1805., Steam engine - Mr. Watt's double steam engine from his specification…, 1822 · Public domain

Instructor: Prof. Gareth McKinley
Term: Fall 2013
Level: Graduate
What's inside: 4 exams · 63 solutions · 84 other files · 14 web pages
Materials open: MIT OCW

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About this course

Source: MIT OpenCourseWare 2.25 Advanced Fluid Mechanics, Fall 2013, Prof. Gareth McKinley — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.

Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.

Has MIT solutions 63 files in this course are named by MIT as solutions.

Formula sheets

License: CC BY-NC-SA 4.0 · MIT

All formula sheets →

Before you start

Prerequisites are not listed here. Check MIT's own syllabus for this course.

This course’s cited books, in our reading lists: Physical Fluid Dynamics · Physical Fluid Dynamics · Fluid Mechanics · Fluid Mechanics

How this course was organized

What's here, and what isn't

MIT's own materials here did not support a verified, course-wide order, so they are grouped by section instead.

Not included here

67 items from the source could not be safely included:

MIT's page format for this item wasn't recognized clearly enough to place it safely. (53 items)
Referenced in a table, but without MIT's own verified order, so it isn't used to claim a sequence. (14 items)

Materials by section

Grouped by section, as MIT organized them. Not sequenced or ordered.

The Continuum Viewpoint and the Equations of Motion

10 files

Fluid Statics

9 files

Inviscid Flow and Bernoulli

14 files

Control Volume Theorems and Applications

26 files

Equations of Viscous Flow

10 files

Dimensional Analysis

14 files

More Complex Viscous-Dominated Flows

21 files

Potential Flow Theory

11 files

Vorticity and Circulation

12 files

Boundary Layers, Separation, and Drag

9 files

Surface Tension and Its Importance

8 files

Exams

7 files

MIT OpenCourseWare, Prof. Gareth McKinley, 2.25 Advanced Fluid Mechanics, Fall 2013.

License: CC BY-NC-SA 4.0 · Edition: Fall 2013 · Open the original course on OCW ↗

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Advanced Fluid Mechanics

Formula sheets

Before you start

What's here, and what isn't

Not included here

Materials by section

The Continuum Viewpoint and the Equations of Motion

Fluid Statics

Inviscid Flow and Bernoulli

Control Volume Theorems and Applications

Equations of Viscous Flow

Dimensional Analysis

More Complex Viscous-Dominated Flows

Potential Flow Theory

Vorticity and Circulation

Boundary Layers, Separation, and Drag

Surface Tension and Its Importance

Exams

Lecture 1: Introduction: Continuum Hypothesis; Thermophysical Properties

Lecture 2: The Material Derivative; Lagrangian and Eulerian Descriptions

Lecture 3: Kinematics of Deformation

Lecture 4: Forces and Stresses at a Point; Hydrostatic Pressure Variations; Rigid Body Motions

Lecture 5: Steady Bernoulli Equation Along / Across Streamlines; Unsteady / Generalized Forms of the Bernoulli Equation

Lecture 6: The Reynolds Transport Theorem

Lecture 7: Conservation of Mass / Energy / Entropy; Conservation of Linear Momentum

Lecture 8: Examples of Conservation of Linear Momentum; Conservation of Angular Momentum

Lecture 9: Conservation of Mass in Differential Form; The Constitutive Equation for Newtonian Fluid; Mechanical Pressure versus Thermodynamic Press

Lecture 10: The Navier Stokes Equation; Boundary Conditions for Navier-Stokes Equations

Lecture 11: Full Developed Flows, Couette and Poiseuille Flows, Stability of Viscous Flows

Lecture 12: The Buckingham Pi Theorem; Physical Significance of Dimensionless Variables

Lecture 13: Asymptotic Limits of the Governing Equations and Scaling with Dimensionless Variables

Lecture 14: Start-Up and Transient Flows; Similarity Solution for a Flat Plate (The Rayleigh Problem)

Lecture 15: Quasi-Fully Developed Flows: Lubrication Analysis

Lecture 16: Free Surfaces and Other Lubrication Flows

Lecture 17: The Velocity Potential and Stream Function; Complex Variable Formulation

Lecture 18: Examples of Potential Flow Solutions

Lecture 19: Definition of Circulation; Connection to Inviscid Flow and Vorticity; Rotational and Irrotational Flows

Lecture 20: Kelvin’s Circulation Theorems; Lift, Induced Drag; Airfoils, Lifting Lines, Propellers, Windmills

Lecture 21: Motivation and Scaling of the Boundary Layer Equations; Measures of Boundary Layer Thickness

Lecture 22: Boundary Layer on a Flat Plate; Effect of a Pressure Gradient: Falkner-Skan Solutions

Lecture 23: Flow Separation; Turbulent Boundary Layers

Lecture 24: Free Surface Force Balance; Scaling and Dimensional Analysis; Capillarity: Simple Static Solutions

Lecture 25: Examples of Flows Driven by Surface Tension

Lecture 26: Course Review