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FLUENT 6.3
Magnetohydrodynamics (MHD)
Module Manual
September 2006
Copyright
c
2006 by Fluent Inc.
All rights reserved. No part of this document may be reproduced or otherwise used in
any form without express written permission from Fluent Inc.
Airpak, FIDAP, FLUENT, FLUENT for CATIA V5, FloWizard, GAMBIT, Icemax, Icepak,
Icepro, Icewave, Icechip, MixSim, and POLYFLOW are registered trademarks of Fluent
Inc. All other products or name brands are trademarks of their respective holders.
CHEMKIN is a registered trademark of Reaction Design Inc.
Portions of this program include material copyrighted by PathScale Corporation
2003-2004.
Fluent Inc.
Centerra Resource Park
10 Cavendish Court
Lebanon, NH 03766
Contents
Preface UTM-1
1 Introduction 1-1
2 Magnetohydrodynamic Model Theory 2-1
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-1
2.2 Magnetic Induction Method . . . . . . . . . . . . . . . . . . . . . . . . . 2-2
2.2.1 Case 1:
~
B
0
Generated in Non-conducting Media . . . . . . . . . 2-3
2.2.2 Case 2:
~
B
0
Generated in Conducting Media . . . . . . . . . . . . 2-4
2.3 Electric Potential Method . . . . . . . . . . . . . . . . . . . . . . . . . . 2-4
3 Implementation 3-1
3.1 Solving Magnetic Induction and Electric Potential Equations . . . . . . . 3-1
3.2 Calculation of MHD Variables . . . . . . . . . . . . . . . . . . . . . . . . 3-2
3.3 MHD Interaction with Fluid Flows . . . . . . . . . . . . . . . . . . . . . 3-2
3.4 MHD Interaction with Discrete Phase Model . . . . . . . . . . . . . . . 3-3
3.5 General User-Defined Functions . . . . . . . . . . . . . . . . . . . . . . . 3-3
4 Using the FLUENT MHD Module 4-1
4.1 MHD Module Installation . . . . . . . . . . . . . . . . . . . . . . . . . . 4-1
4.2 Loading the MHD Module . . . . . . . . . . . . . . . . . . . . . . . . . . 4-1
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Fluent Inc. June 21, 2006 i
CONTENTS
4.3 MHD Model Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-3
4.3.1 Enabling the MHD Model . . . . . . . . . . . . . . . . . . . . . . 4-3
4.3.2 Selecting an MHD Method . . . . . . . . . . . . . . . . . . . . . 4-5
4.3.3 Applying an External Magnetic Field . . . . . . . . . . . . . . . 4-5
4.3.4 Setting Up Boundary Conditions . . . . . . . . . . . . . . . . . . 4-9
4.3.5 Solution Controls . . . . . . . . . . . . . . . . . . . . . . . . . . 4-13
4.4 MHD Solution and Postprocessing . . . . . . . . . . . . . . . . . . . . . 4-14
4.4.1 MHD Model Initialization . . . . . . . . . . . . . . . . . . . . . . 4-14
4.4.2 Iteration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-14
4.4.3 Postprocessing . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-15
4.5 Limitations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-16
A Guidelines For Using the FLUENT MHD Model A-1
A.1 Installing the MHD Module . . . . . . . . . . . . . . . . . . . . . . . . . A-1
A.2 An Overview of Using the MHD Module . . . . . . . . . . . . . . . . . . A-2
B Definitions of the Magnetic Field B-1
B.1 Magnetic Field Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . B-1
C External Magnetic Field Data Format C-1
C.1 Magnetic Field Data Format . . . . . . . . . . . . . . . . . . . . . . . . C-1
D MHD Module Text Commands D-1
ii
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Fluent Inc. June 21, 2006
Using This Manual
The Contents of This Manual
The FLUENT Magnetohydrodynamics (MHD) Module Manual tells you what you need
to know to model magnetohydrodynamics with FLUENT. In this manual, you will find
background information pertaining to the model, a theoretical discussion of the model
used in FLUENT, and a description of using the model for your CFD simulations.
Typographical Conventions
Several typographical conventions are used in this manual’s text to facilitate your learning
process.
• An informational icon (
i
) marks an important note.
• An warning icon (
!
) marks a warning.
• Different type styles are used to indicate graphical user interface menu items and
text interface menu items (e.g., Iso-Surface panel, surface/iso-surface com-
mand).
• The text interface type style is also used when illustrating exactly what appears on
the screen or exactly what you need to type into a field in a panel. The information
displayed on the screen is enclosed in a large box to distinguish it from the narrative
text, and user inputs are often enclosed in smaller boxes.
• A mini flow chart is used to indicate the menu selections that lead you to a specific
command or panel. For example,
Define −→Boundary Conditions...
indicates that the Boundary Conditions... menu item can be selected from the Define
pull-down menu, and
display −→grid
indicates that the grid command is available in the display text menu.
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Fluent Inc. June 21, 2006 UTM-1
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