2d and 3d Method of Characteristics for Nozzle Design

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  • Topic: Fluid dynamics, Mach number, Nozzle
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  • Published : December 25, 2012
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Applied Physics Laboratory

RTDC-TPS-48 I

Laurel MD 207236099

Y

2D and 3D Method of Characteristic Tools for
Complex Nozzle Development
Final Report

Tharen Rice
June 3 0,2003

Prepared under Grant No. NAG3-2460, “Design of Exhaust Nozzle for the RBCC- GTX Concept,” with the NASA Glenn Research Center

THE JOHNS HOPKINS UNIVERSITY APPLIED PHYSICS LABORATORY
Johns Hopkins Road, Laurel, Maryland 20723-6099

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Applied PhytiCS Laboratory

RTDC-TPS-48 1

Laurel M D 207236(199

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Table of Contents

1 .0
Purpose .................................................................................................................. 2.0
Introduction............................................................................................................ 3.0
2D Method of Characteristics Tool ........................................................................ 2D MOC Nozzle Algorithm Overview .............................................................. 3.1

2D MOC Tool Inputs ....................................................................................... 3.2
Nozzle Geometry Input ............................................................................ 3.2.1
Nozzle Type Input.................................................................................... 3.2.2
3.2.2.1 Perfect Nozzle ...................................................................................... 3.2.2.2 Rao Nozzle ........................................................................................... 3.2.2.3 Set End Point Nozzles .......................................................................... 3.2.2.4 Cone/Wedge Nozzles ........................................................................... Nozzle Design Parameters ....................................................................... 3.2.3

3.2.4
Flow Properties ........................................................................................ Throat Geometry Input ............................................................................. 3.2.5

Print Option Input .................................................................................... 3.2.6
3.2.6.1 Summary.out File ................................................................................. Number of Output Streamlines Input ....................................................... 3.2.7

..
MOC Limiters Input ................................................................................. 3.2.8
Run Streamline Tracing Tool Button ....................................................... 3.2.9
3.2.I O Calculate MOC Grid Button .................................................................... Initial Data Line Definition .............................................................................. 3.3

Tricks ofthe Trade ........................................................................................... 3.4
3D Method of Characteristic Tool ....................................................................... 4.0
3D MOC Nozzle Algorithm Overview ............................................................ 4.1
4.1.1
Mathematical Equations ........................................................................... 4.1.2
Solution Methodology.............................................................................. 4.1.2.1 New Reference Plane Determination ................................................... 4.1.2.2 Field Point Calculation......................................................................... 4.1.2.2.1 Surface Fit Algorithm ..................................................................... 4.1.2.2.2 Field Point Compatibility Equation Solution ................................. 4.1.2.2 Body Point Calculation ........................................................................ 4.1.2.2.1 Body Surface...
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