Genmix

Preface

Locations of Major Items

Chapter 1 Introduction

1.1 The Scope of Two-Dimensional Boundary-Layer Theory

1.2 Some Practical Circumstances in Which Steady Two-Dimensional Boundary Layers Often Play Important Roles

1.3 The Mathematical Character of the Problem of Predicting 2D Steady Boundary-Layer Behavior

1.4 Summary of the Mathematical Task

Chapter 2 Introduction to the Genmix Computer Program

2.1 General Features of the Program

2.2 Program Structure

2.3 The Problem Embodied in the Basic Version of the Program

2.4 The Grid and Its Numbering

Chapter 3 Mathematical Foundation of Genmix

3.1 The Structure of the Theory

3.2 The Conservation Laws, for Steady Flow

3.3 Flux Laws

3.4 The Resulting Differential Equations

3.5 Procedures for Solving the Differential Equations

Chapter 4 The Patankar-Spalding Method

4.1 Transformation of the Differential Equations to the x ~ ω Coordinate System

4.2 The Finite-Difference Equations

4.3 Procedure for Solving the Finite-Difference Equations

4.4 The Locations of the Coefficient-Forming and Equation-Solving Sequences in Genmix

Chapter 5 Organization of the Computer Program

5.1 Variable Names

5.2 The Treatment of the Velocity in the Various Sub-Routines

5.3 Differences Between Plane and Axisymmetric Flow

5.4 The Execution of a Forward Step

Chapter 6 The Treatment of Wall Boundaries

6.1 The Problem

6.2 Couette-Flow Theory; Laminar Flow

6.3 Couette-Flow Theory; Turbulent Flow

6.4 The Wall Subroutine

Chapter 7 Further Features of the Calculation Procedure

7.1 The Calculation of y and r

7.2 Grid Expansion through Undisturbed Fluid (Entrainment)

7.3 Calculation of Pressure Gradient for Confined Flows

7.4 Accounting for the Gravitational Acceleration

Chapter 8 Physical Processes and Properties Incorporated into Genmix

8.1 Laminar Transport Properties

8.2 Turbulent Transport Properties

8.3 Source Terms

8.4 The Results of the Calculation

Chapter 9 Some Special Problems without Chemical Reaction

9.1 Kinds, Cases, Lessons and Runs

9.2 Examples of KIND = 1

9.3 Examples of KIND = 2

9.4 Examples of KIND = 3

Chapter 10 Some Special Problems with Chemical Reaction

10.1 Examples of KIND = 1

10.2 Examples of KIND = 2

10.3 Examples of KIND = 3

10.4 Some Other Kase's of Interest

Chapter 11 Extensions of Genmix

11.1 More Advanced Turbulence Models

11.2 Further Physical Processes

11.3 Hyperbolic Problems

11.4 Partially-Parabolic Problems

Nomenclature

Glossary of Fortran Variables

References

Appendix A Listing & Results of Standard Genmix Discussed in the Text in Section 2.3, in Chapter 8, and Elsewhere (KIND = 1, KASE = 0, IRUN = 0)

Appendix B Listing and Results of Standard Genmix, KIND = 2

Appendix C Listing and Results of Standard Genmix, KIND = 3

Appendix D Listing and Results for a Version of Genmix Dealing With the Flow of a Single Fluid (Air)

Appendix E Listing and Results for a Version of Genmix Dealing With the Flow of Two Chemically-Inert Fluids (Steam and Air)

Appendix F Genmix 0

Listing of a Version of Genmix from Which All Physical Content Has Been Removed