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    SACRAMENTO PLANT

    PROPOSAL 1\I0„ RN-66250

    SYNTHESIS OF CALCULATION METHODS FOR THE

    DESIGN AND ANALYSIS OF RADIATION SHIELDS FOR

    NUCLEAR ROCKET SYSTEMS

    SUBMITTED TO

    MARSHALL SPACE FLIGHT CENTER

    VOLUME I - TECHNICAL

    MARCH 1966

    f» 1 R ^ T ' ^ t e ^

    FILE COPY Do not remove from

    R£ON Technical Information Center Aerojet-General Corporation

    AEROJET-GENERAL CORPORATION S A C R A M E N T O C A L I F O R N I A

    \

    'Df'i Of THIS OOCi.JMFNT !S UNn^^T'-'^

    TECHNICAL DOCUMENT CENTER Nuclear Rocket Operations

    DOC. NO AGCS 0120-48 '' \

  • DISCLAIMER

    This report was prepared as an account of work sponsored by an agency of the United States Government. Neither the United States Government nor any agency Thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States Government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.

  • DISCLAIMER Portions of this document may be illegible in electronic image products. Images are produced from the best available original document.

  • This document and the data furnished shall not be disclosed outside the Government or be reproduced, used or disclosed in whole or in part for any purpose other than to evaluate the proposal; provided, that if a contract is awarded to this offeror as a result of or in connection with the submission of such data, the Government shall have the right to re- produce, use or disclose this data to the extent provided in the contract. This restriction does not limit the Government's right to use information contained in such data if it is obtained from other sources.

    CLASSIFICATION CATEGORY

    UNCLASSIFIED

    CLASSIFYING OFFICER DATE

  • AEROJET-GENERAL CORPORATION S A C R A M E N T O C A L I F O R N I A

    SACRAMENTO PLANT

    Gentlemen:

    f — NOTICE _ _ _ ^ This report was prepared as an account of work I

    t he 'unH H%?'^ " " " = " ' ' " • " Government. NeUher the United States nor the United States Enersy Research and Development Administration, nor anyTf theu employees, nor any of their contractors subcontractors, or their employees, makes any ^r ranty , express or implied, or assumes any legiQ liabihty or responsibihty for the accuracy, completene^ I c ^ s " i " 7 ° ' r ' ' " f " ™ ' - " . apparatus, p r X c " o" fZZ ^f*' "' ' ' 'P'^^^"'*

  • AEROJET

    GENERAL

    PROPOSAL NO. RN-66250

    SYNTHESIS OF CALCULATION METHODS FOR THE

    DESIGN AND ANALYSIS OF RADIATION SHIELDS FOR

    NUCLEAR ROCKET SYSTEMS

    R O C K E T E N G I N E O P E R AT I O N S - N U C L E A R

    VOLUME I - TECHNICAL MARCH 1966

    A E R O J E T - G E N E R A L C O R P O R A T I O N A S U B S I D I A R Y O F T H E G E N E R A L T I R E & R U B B E R C O M P A N Y

  • TABLE OF CONTENTS

    Introduction and Summary

    A. Program Objectives

    B. Technical Approach

    C. Key Features of the Program

    D. Anticipated Problem Areas

    E. Program Plan

    F. Management Plan

    Go Applicable Facilities

    Ho Technical Capabilities Relating to the Program

    Technical Discussion

    A. Review of Existing Methods

    1. Point Kernel Methods

    2. Monte Carlo Methods

    3. Discrete S Transport Method

    k. Diffusion Theory Methods

    5. Auxiliary Programs

    B. Development of Evaluation Criteria

    1. Preliminary Evaluation Criteria

    2. Characteristic Radiation Transport Problems

    3- Collection of Suitable Experimental Data

    C. Selection of Test Problems

    1. Basic Configuration

    2o Nuclear Rocket System

    3. Nuclear Electric Systems

    Do Candidate Analysis Methods

    E, Test Calculations

    F. Programming Considerations

    Proposed Program

    A. Work To Be Performed

    Bo Program Approach

    C. Schedules

    i

  • TABLE OF CONTENTS (cont.)

    Page

    D o Report s

    Eo New Technology

    IV. Management Organization and Personnel

    Ao Corporate Organization

    Bo Project Organization

    V, Supporting Information

    Ao Related Experience

    Bo List of Operational Digital Computer Codes

    Co Computer Facilities

    Do Document Facilities

    VIo List of References

    85 15 87

    ST

    90

    105

    105

    117

    13?

    133

    135

    TABLE LIST

    A Brief List of Existing Methods

    Zone Description Data for Figure 5

    Boundary Equation Data for Figure 5

    Tentative List of Candidate Analysis Methods

    A Candidate Program System

    Sxunmary of User Decisions Affecting Accuracy

    Summary of Calculations to be Performed

    Computer Codes for Radiation Analysis at Aerojet

    Table

    I

    II

    III

    IV

    V

    VI

    VII

    VIII

    FIGURE LIST

    S Prediction of the NERVA Fast Neutron Environment n Relative Neutron Current Along Reactor Surface

    The Discrete Angular Direction for the Cylindrical S-6

    Figure

    1

    2

    Approx imat i on

    ii

  • FIGURE LIST (cont.)

    Recipe for Estimating Size of TDC Problems

    Computer Plot of XE-System in ETS-1

    Flow Schematic of Radiation Analys. s for NRX/EST

    Elements of Nuclear Heating in the Phoebus-2 Nozzle

    SNAP-8 Interplanetary Vehicle, Extended Version

    XE-Engine and Engine Test Compartment Radiation Shielding

    Candidate Analysis Method

    Flow Chart for the Work Program

    Schedule for the Proposed Program

    Management Organization

    Project Organization

    iii

  • APPENDIX

    Page

    I. NERVA Data A-3

    A. Gamma Ray Dose Rates A-3

    B. Fast Neutron Flux A-3

    C. Neutron Spectra A-T

    II. Monte Carlo Analysis of the General Dynamics (ASTR) A-7 Experiment on Neutron Penetration Through Hydrogen

    A. Introduction ^~

    B. Analysis A-IO

    C. Discussion of Results A-I6

    References A-19

    iv

  • I. INTRODUCTION AND SUMMARY

    This proposal is submitted by Aerojet-General Corporation to the Marshall

    Space Flight Center in response to Request for Proposal No. 1-6-28-00029, dated

    11 February 1966, entitled: "Synthesis of Calculation Methods for the Design and

    Analysis of Radiation Shields for Nuclear Rocket Systems."

    The ciirrent methods used to predict radiation distributions about nuclear

    rocket and nuclesir electrical systems are actually various combinations of shielding

    codes, each having inherent advantages and disadvantages. These codes evolved and

    were combined as a result of the immediate and pressing contractual requirements

    of past and current reactor programs without sufficient emphasis directed toward

    optimization of the methods on the basis of validity, efficiency, and cost. As

    a result, use of these current prediction methods has resulted in numerous analytical

    difficulties.

    Aerojet recognizes the innate deficiencies of these current analytical

    methods and responds to the Marshall Space Flight Center's requirements for a

    comparison and critical evaluation of these methods by proposing a program for

    objectively screening, evaluating, and selecting prediction methods which will

    ensure that future calculation of radiation levels will be made quickly and

    accurately.

    A. PROGRAM OBJECTIVES

    The proposed program has four principal objectives. The first is to

    compare and critically evaluate the applicability of existing computer programs

    to radiation analyses for nuclear rocket and nuclear electric systems. The second

    objective is to select one or two optimiim combinations of sinalytical methods for use

    in an automated analysis system that minimizes data handling by the analyst. The

    third objective is to reprogrsun the selected methods in the FORTRAN-IV language.

    The fourth objective is to check out the selected methods on the Marshall Space

    Flight Center computer and instruct MSEC personnel in the use of the selected

    programs.

    1

  • I, Introduction and Summary (conto)

    Bo TECHNICAL APPROACH

    Aerojet's approach to achieve these program objectives is to conduct

    a literature and field survey in order to identify and ferret out those existing

    analysis methods that are either of interest or contain desirable features o

    Simultaneously, criteria will be developed on the basis of the program operational

    characteristics and on considerations of the analysis requ