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Browse materialsMIT 1.63 · Fall 2002

Advanced Fluid Dynamics of the Environment

Art: Bartlett, W. H. (William Henry), 1809-1854, artist, Columbia bridge (Susquehanna) - drawn after nature for the…, 1850 · Public domain

Instructors: Prof. Chiang Mei, Guangda Li
Term: Fall 2002
Level: Graduate
What's inside: 1 lecture note · 72 other files · 4 web pages
Materials open: MIT OCW

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Source: MIT OpenCourseWare 1.63 Advanced Fluid Dynamics of the Environment, Fall 2002, Prof. Chiang Mei, Guangda Li — 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.

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Lecture Notes

51 files

Assignments

20 files

Other materials from this course

MIT OpenCourseWare, Prof. Chiang Mei, Guangda Li, 1.63 Advanced Fluid Dynamics of the Environment, Fall 2002.

License: CC BY-NC-SA 4.0 · Edition: Fall 2002 · Open the original course on OCW ↗

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Advanced Fluid Dynamics of the Environment

Before you start

What's here, and what isn't

Not included here

Materials by section

Lecture Notes

Assignments

Other materials from this course

Lecture 1: Eulerian and Lagrangian Descriptions of Fluid Motion

Lecture 2: Kinematics, Strain and Vorticity

Lecture 3: Kinematic Transport Theorem and Consequences

Lecture 4: Forces in the Fluid, Stresses and Cauchy’s Law

Lecture 5: Momentum Conservation Law

Lecture 6: Stress and Strain, Navier-Stokes Equations

Lecture 7: Vorticity Theorems for Homogeneous and Stratified Fluids

Lecture 8: Rayleigh Problem – Where Does Vorticity Come From?

Lecture 9: Scaling and Approximations

Lecture 10: Slow Spreading of a Mud Layer on an Incline

Lecture 11: Selective Withdrawal into a Line Sink, Boundary Layer Approximation and Similarity Solution

Lecture 12: Stokes Flow Past a Sphere

Lecture 13: Mechanics of Aerosols

Lecture 14: Inviscid Irrotational Flows of a Homogeneous Fluid

Lecture 15: Bernoulli’s Theorems for Inviscid Homogeneous Fluids

Lecture 16: Example of Steady Boundary Layer; The Laminar Jet

Lecture 17: Effects of Variable Pressure Gradient

Lecture 18: Kármán’s Momentum Integral Approximation

Lecture 19: An Application to Transient Boundary Layer Along a Flat Plate

Lecture 20: Unsteady Boundary Layers

Lecture 21: Gust and Separation

Lecture 22: Thermal Energy; Mountain Wind

Lecture 23: Buoyant Plume from a Steady Source of Heat

Lecture 24: Homogenization and Dispersion in Oscillatory Flows in a Pipe

Lecture 25: Heruristic Argument of Kelvin-Helmholtz Instability; Linearized Analysis of K-H Instability; K-H Instabilty of a Continuously Stratified Fluid

Lecture 26: Rayleigh’s Inviscid Theory of Instability of Parallel Flows; Fjortoft’s Theorem

Lecture 27: Viscous Effects on Parallel Flow Instability

Lecture 28: Porous Media and Darcy’s Law; Homogenization and Micro-Mechanical Basis of Darcy’s Law

Lecture 29: Saffman-Taylor Instability and Viscous Lingering; Convection in a Porous Layer with a Geothermal Gradient (Rayleigh Number)

Lecture 30: Horton-Rogers-Lapwood Instability

Lecture 31: Rotating Coordinates and Coriolis Force

Lecture 32: Vorticity Theorem in Rotating Fluid; Shallow-Sea Approximation

Lecture 33: Steady Wind-Induced Flow in a Shallow Sea

Lecture 34: Nonuniform Forcing on the Sea Surface-Ekman Pumping

Lecture 35: Wind-Forced Waves in a Two-Layered Sea

Lecture 36: Coastal Upwelling