17696

On the Self Similar Energy Gain Scaling in Isobaric Approach of ICF Targets.

Koshbinfar S. نويسنده , Ghasemizad A. نويسنده

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176

6

In this paper we start with Meyer-Ter-Vehn isobaric fusion model and try to reconstruct all equations by introducing a dimensionless variable (psi)i=ri/Rm. Then we investigate the proper sets of spark confinement parameter and temperature {Hs,Ts} which satisfy ignition conditions of spark ignition in deuterium-tritium (DT) equimolar mixture in terms of isentrope parameter,(alpha), implosion velocity, Uim. Finally, limiting fuel energy gain curve (Gf*) as function of ignition energy (Eign) for different implosion velocities is calculated. By this simple modification of our original formulation, we obtain fuel energy scaling as Ef (propotional to)(alpha)^3 Uim^-10 for desirable range of ignition parameters. Since in our formulation HsTs product has appeared, it enabled us to insert a scaling relation for ignition condition in fuel energy, Ef which this in turn decreases implosion velocity exponent in our scaling relation to 7.0.

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