Energy-driven model for HE initiation and burn

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A simple 2-state reactive flow HE burn model is described in which an approximate thermal energy is used in place of temperature to drive an Arrhenius-like rate expression. The product volume fraction and the exchange energy are determined by Newton-Raphson iteration under the twin requirements that reactant and product end up in mechanical (P+Q) equilibrium and that energy be rigorously conserved in the zone. The burn fraction is then adjusted by iterating the burn rate calculation. The rate expression is analytically integrable provided the rate coefficients can be taken as constant over a hydro cycle; we assume this to be ... continued below

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127 Kilobytes

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Rathkopf, J. & Zimmerman, I. H. October 1, 1998.

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Description

A simple 2-state reactive flow HE burn model is described in which an approximate thermal energy is used in place of temperature to drive an Arrhenius-like rate expression. The product volume fraction and the exchange energy are determined by Newton-Raphson iteration under the twin requirements that reactant and product end up in mechanical (P+Q) equilibrium and that energy be rigorously conserved in the zone. The burn fraction is then adjusted by iterating the burn rate calculation. The rate expression is analytically integrable provided the rate coefficients can be taken as constant over a hydro cycle; we assume this to be true. Ignition is represented in two ways: by a void-collapse hot-spot model in porous zones and, in zones that are sufficiently energetic, by a direct-conversion reactant burn model. Neither the reactant nor the product EOS is part of the model prescription. This separates the rate law from the EOS parametrization and frees the user to choose any available EOSs to represent the reactant and product states. In particular, it is possible to model the reactant material with strength, which can be an important capability in threshold situations.

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127 Kilobytes

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  • 1998 Nuclear Explosives Development Conference, Las Vegas, NV, October 25-30, 1998

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  • Other: DE00007279
  • Report No.: UCRL-JC-132747
  • Grant Number: W-7405-Eng-48
  • Office of Scientific & Technical Information Report Number: 7279
  • Archival Resource Key: ark:/67531/metadc706246

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • October 1, 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • May 6, 2016, 9:52 p.m.

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Rathkopf, J. & Zimmerman, I. H. Energy-driven model for HE initiation and burn, article, October 1, 1998; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc706246/: accessed September 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.