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Numerical modelling of radiation Marshak Waves

Published online by Cambridge University Press:  09 March 2009

N. A. Tahir
Affiliation:
Institut für Neutronenphysik und Reaktortechnik, Kernforschungszentrum Karlsruhe, Postfach 3640, D-7500 Karlsruhe, Federal Republic of Germany
K. A. Long
Affiliation:
Institut für Neutronenphysik und Reaktortechnik, Kernforschungszentrum Karlsruhe, Postfach 3640, D-7500 Karlsruhe, Federal Republic of Germany

Abstract

In this paper we discuss the importance of radiation transport in inertial confinement fusion (ICF) target design. It is shown that a self similar solution of non-linear heat conduction can be used to estimate the penetration depth of radiation thermal waves (Marshak Waves) in ion-beam ICF pellets. An improved numerical treatment of non-linear heat conduction has been incorporated into the hydrodynamic code MEDUSA-KA to simulate radiation transport in ICF target design studies. The numerical results have been checked against self-similar solutions and a comparison between the two is presented in this paper. We find good agreement between the two. The necessity of using a high-z radiation shield to protect the fuel from radiative preheat is also discussed.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1984

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References

Badger, B., Arendt, F., Becker, K. & Bock, R., et al. 1981 HIBALL—A Conceptual Heavy Ion Beam Driven Fusion Reactor Study, University of Wisconsin Rep., UWFDM-450, Kernforschungszentrum Karlsruhe, Rep. KfK-3202 (1981).Google Scholar
Bodner, S. E. 1981 J. Fusion Energy, 1, 219.CrossRefGoogle Scholar
Fraley, G. S. & Gula, W. P. 1975 Phys. Rev. Lett. 35, 520.CrossRefGoogle Scholar
Frohlich, R., Goel, B., Henderson, D., Höbel, W., Long, K. A. & Tahir, N. A. 1982 Nucl. Eng. Des. 73, 201.Google Scholar
Kidder, R. E. 1979 Nucl. Fusion, 19, 223.Google Scholar
Long, K. A. & Tahir, N. A. 1982 Phys. Lett. 91A, 451.Google Scholar
Long, K. A., Moritz, N. & Tahir, N. A. 1982 GSI Darmstadt Annual Report, GSI–82–6, 54.Google Scholar
Long, K. A., Moritz, N. & Tahir, N. A. 1982 GSI Darmstadt Annual Report, GSI–82–6, 56.Google Scholar
Long, K. A., Tahir, N. A. & Pomraning, G. C. 1983 GSI Darmstadt Annual Report, GSI–83–2, 39.Google Scholar
Marshak, R. E. 1958 Phys. Fluids, 1, 24.CrossRefGoogle Scholar
Mason, R. J. & Morse, R. L. 1974 Tamped thermonuclear burn of DT microspheres, Los Alamos Rep. LA–5789–MS.Google Scholar
Petschek, A. G.Williamson, R. E. & Wooten, J. K. 1960 The penetration of Radiation with Constant Driving Temperature, Los Alamos Rep. LAMS 2421.Google Scholar
Tahir, N. A. & Laing, E. W. 1980a Phys. Lett. 77A, 430.Google Scholar
Tahir, N. A. & Laing, E. W. 1980b Plasma Phys. 22, 1113.Google Scholar
Tahir, N. A. & Long, K. A. 1982a Atomkernenergie 40, 157.Google Scholar
Tahir, N. A. & Long, K. A. 1982b GSI Darmstadt Annual Report, GSI–82–6, 59.Google Scholar
Tahir, N. A. & Long, K. A. 1983a Nucl. Fusion, 23, 887.Google Scholar
Tahir, N. A. & Long, K. A. 1983b GSI Darmstadt, Annual Report, GSI–83–2, 38.Google Scholar
Tahir, N. A. & Long, K. A. 1983c GSI Darmstadt Annual Report, GSI–83–2, 53.Google Scholar
Tahir, N. A., Long, K. A. & Fröhlich, R. 1982 HIBALL Target Design (Proc. Symp. Accelerator Aspects of Heavy Ion Fusion) GSI Darmstadt Rep., GSI–82–8, 598.Google Scholar
Tahir, N. A. & Long, K. A. 1983 MEDUSA-KA: A One-Dimensional Computer Code for Inertial Confinement Fusion Target Design, Kernforschungszentrum Karlsruhe Report KfK-3454.Google Scholar
Zel'dovich, Ya. B. & Raizer, Yu. P. 1966 Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Vol. 2, Academic Press.Google Scholar