A General Computer Program for Two-Dimensional Parabolic Phenomena

1st Edition - January 1, 1977

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  • Author: D Brian Spalding
  • eBook ISBN: 9781483188171

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Genmix: A General Computer Program for Two-dimensional Parabolic Phenomena explains a computer program called GENMIX. The main intention of the program is to be used as a tool of instructions. The name of the program is a mixture of two considerations: its generality and its concern for mixing processes. The book aims to help the potential user to understand the physical and mathematical basis of the topic computer program. It is also the aim of the book to make the program applicable to practical problems. The book is arranged in such a way as to parallel a course of lectures and associated computer-workshop sessions wherein the student is allowed to do some elementary computations as soon as he has gained some knowledge of the method. The book contains the mathematical, physical, and computer-coding aspects of the program. Concepts such as the boundary layer, two-dimensional, and steady- flow are defined and discussed in depth. The text will be a useful tool for computer instructors and students.

Table of Contents

  • 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


    Glossary of Fortran Variables


    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

Product details

  • No. of pages: 392
  • Language: English
  • Copyright: © Pergamon 1977
  • Published: January 1, 1977
  • Imprint: Pergamon
  • eBook ISBN: 9781483188171

About the Author

D Brian Spalding

About the Editor

D Brian Spalding

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