Fuel energy balance studies of pellet ignition requirements
TL;DRAbstract
A simple power balance model is used to study DT fuel ignition requirements in the parameter regime appropriate for many ICF target applications. The model includes fuel energy loss due to thermal conduction and radiation, gain due to PdV work and ..cap alpha.. particle deposition, and pusher boundary conditions. It can be shown analytically that a minimum pusher velocity of approx. 10/sup 7/ cm/sec is necessary to achieve ignition, with corresponding fuel rho R approx. = .1 gm/cm/sup 2/ and T approx. = 4 keV. If thermal conduction losses are reduced, then the minimum necessary velocity required for ignition is shown to be substantially reduced. Various formulas and scaling laws are presented which should aid target design calculations which use large hydrocode models.
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A simple power balance model is used to study DT fuel ignition requirements in the parameter regime appropriate for many ICF target applications. The model includes fuel energy loss due to thermal conduction and radiation, gain due to PdV work and ..cap alpha.. particle deposition, and pusher boundary conditions. It can be shown analytically that a minimum pusher velocity of approx. 10/sup 7/ cm/sec is necessary to achieve ignition, with corresponding fuel rho R approx. = .1 gm/cm/sup 2/ and T approx. = 4 keV. If thermal conduction losses are reduced, then the minimum necessary velocity required for ignition is shown to be substantially reduced. Various formulas and scaling laws are presented which should aid target design calculations which use large hydrocode models.
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