Analysis of Turbulent Flows with Computer Programs, 3rd Edition

Chapter 2

Conservation Equations for Compressible Turbulent Flows

Chapter Outline Head

2.1 Introduction

2.2 The Navier–Stokes Equations

2.3 Conventional Time-Averaging and Mass-Weighted-Averaging Procedures

2.4 Relation Between Conventional Time-Averaged Quantities and Mass-Weighted-Averaged Quantities

2.5 Continuity and Momentum Equations

2.6 Energy Equations

2.7 Mean-Kinetic-Energy Equation

2.8 Reynolds-Stress Transport Equations

2.9 Reduced Forms of the Navier–Stokes Equations

Problems

References

2.1 Introduction

In this chapter we consider the Navier-Stokes equations for a compressible fluid and show how they can be put into a form more convenient for turbulent flows. We follow the procedure first introduced by Reynolds in incompressible ...