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Instructor Class Description

Time Schedule:

James J Riley
M E 543
Seattle Campus

Fluid Turbulence

Methods of characterizing fluid turbulence; probability concepts; spatial and temporal velocity correlations; spectral energy transfer; turbulent diffusion; isotropic turbulence and Kolmogoroff's hypothesis; Taylor's hypothesis; hot-wire measurement techniques. Prerequisite: 3 credits of graduate level fluid mechanics or permission of instructor. Offered: W, even years.

Class description


ME 543A/B -- Fluid Turbulence

Class Web Site Address:

Winter Quarter, 2014, 3 credits

Instructor: James J. Riley, MEB 314, 543-5347 (email:

Schedule: MW 2:30 -- 3:50, Mary Gates Hall 242

Text: Turbulent Flows, by Stephen B. Pope, Cambridge University Press

Prerequisites: ME/AA 507 (or equivalent course), or permission of the instructor.

Summary: The material in this course will encompass theoretical, numerical, and experimental results in the study of turbulence. Statistical methods will be used, but the physical mechanisms involved will be emphasized.


A. Introduction

Historical sketch Definition and some properties of turbulence Some properties of the equations of motion

B. Some Stochastic Tools

Deterministic but random-like nature of turbulence Probability distributions Properties of random functions Correlations, energy spectra, length and time scales

C. Mean Flow Dynamics

Closure problem; Reynolds stresses Energetics, scaling Heuristic Models

D. Turbulence Dynamics

Energetics, Scaling Spectral energy transfer Vortex dynamics

E. Free Shear Flows

Scaling, similarity Large-scale structures Mean flow & turbulence dynamics

F. Nonlinear Dynamics Revisited

Homogeneous turbulence Equations for two-point correlations Spectral energy dynamics Kolmogorov's and related theories

Student learning goals

General method of instruction

Recommended preparation

Class assignments and grading

The information above is intended to be helpful in choosing courses. Because the instructor may further develop his/her plans for this course, its characteristics are subject to change without notice. In most cases, the official course syllabus will be distributed on the first day of class.
Last Update by James J Riley
Date: 01/05/2014