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NESC0443 HAA3B

HAA3B, Heterogeneous Aerosol Transport after LMFBR Accidents, Lognormal Size Distribution

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1. NAME OR DESIGNATION OF PROGRAM:  HAA3B
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2. COMPUTERS
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Program name Package id Status Status date
HAA-3 NESC0443/01 Tested 01-MAY-1979

Machines used:

Package ID Orig. computer Test computer
NESC0443/01 IBM 360 series IBM 360 series
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3. DESCRIPTION OF PROBLEM OR FUNCTION

HAA3B was written to provide an engineering method for calculating heterogeneous aerosol behavior and transport following various hypothetical LMFBR accidents. HAA3B  evaluates an approximation to the general integro-differential equation which describes aerosol behavior. The physical model includes particle generation, Brownian and gravitational agglomeration, settling, plating, and leakage for spherical particles. The approximation is the requirement that the size distribution function be lognormal.
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4. METHOD OF SOLUTION

HAA3B employs a time-dependent lognormal distribution when agglomeration is prevalent, then switches to a stirred-settling model. The time-dependent parameters which characterize the lognormal size-distribution function are obtained by numerical integration of three simultaneous differential equations for the zeroth through the second volume moments. The volume moments differential equations were obtained by analytic integration of the appropriate moments of the integro-differential equation. Additional differential equations for the plated, settled, and leaked functions are included in the simultaneous set; a mix of  Adams-Moulton, Runge-Kutta, and Gaussian procedures are used to solve the system of simultaneous, first-order differential equations.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM

Maxima of -
   1000 time-steps in lognormal model part
     42 discrete radii for leakage distribution calculations
     50 leak-rate input values
     50 source-rate input values
Applicability has been verified for moderate concentrations in moderate-sized vessels, and for limited types of sources, only.
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6. TYPICAL RUNNING TIME

Approximately 15 seconds are required for execution on a Model 168.
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7. UNUSUAL FEATURES OF THE PROGRAM

The program computes plated, settled, suspended, and leaked masses, distribution parameters, and  effective radii. It prepares input cards, which describe leaked mass, for use in evaluating aerosol behavior in a second compartment, has a Klyacho correction calculation, and includes input parameters to characterize effective density and collision efficiency.
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8. RELATED AND AUXILIARY PROGRAMS

Leak rates may be obtained from the AI SOFIRE code. Fallout rate data may be used in COMRADEX3 (NESC Abstract 663).
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9. STATUS
Package ID Status date Status
NESC0443/01 01-MAY-1979 Tested at NEADB
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10. REFERENCES

R. S.  Hubner, E. U.  Vaughn and L.  Baurmash, HAA-3B
User Report, AI-AEC-13038, March 1973.
             J.   M.  Otter,   Understanding   the  HAA-3B   Input
Parameters  Used   to  Characterize  the  Aerosol   Particle  Size
Distribution, N707-TI-130-041, August 1975.
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11. MACHINE REQUIREMENTS

A logical unit 5 for input, unit 6 for output, unit 16 for a scratch unit, and a card punch. SC-4020 CRT coding is included as comment cards. Storage allocation is less than 150K bytes.
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12. PROGRAMMING LANGUAGE(S) USED
Package ID Computer language
NESC0443/01 FORTRAN-IV
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13. OPERATING SYSTEM UNDER WHICH PROGRAM IS EXECUTED:  OS/370 Release 21.6.
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14. OTHER PROGRAMMING OR OPERATING INFORMATION OR RESTRICTIONS:
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15. NAME AND ESTABLISHMENT OF AUTHORS

                 J. Otter, E. U. Vaughan, L. Baurmash, R. Koontz
                 Atomics International Division
                 Rockwell International
                 8900 De Soto Avenue
                 Canoga Park, California  91304
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16. MATERIAL AVAILABLE
NESC0443/01
File name File description Records
NESC0443_01.001 INFORMATION 5
NESC0443_01.002 SOURCE PROGRAM (F4,EBCDIC) 2119
NESC0443_01.003 SAMPLE PROBLEM INPUT DATA 18
NESC0443_01.004 SAMPLE PROBLEM PRINTED OUTPUT 816
NESC0443_01.005 JCL 4
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17. CATEGORIES
  • G. Radiological Safety, Hazard and Accident Analysis
  • R. Environmental and Earth Sciences

Keywords: aerosols, agglomeration, leaks, particle size.