Study of high gain spherical shell ICF targets containing uniform layers of liquid deuterium tritium fuel. A numericial model for analyzing thermal layering of liquid mixtures of hydrogen isotopes inside a spherical inertial confinement fusion target: Final report
Abstract
A numerical model has been developed to describe the thermally induced behavior of a liquid layer of hydrogen isotopes inside a spherical Inertial Confinement Fusion (ICF) target and to calculate the farfield temperature gradient which will sustain a uniform liquid layer. This method is much faster than the trialanderror method previously employed. The governing equations are the equations of continuity, momentum, energy, mass diffusionconvection, and conservation of the individual isotopic species. Ordinary and thermal diffusion equations for the diffusion of fluxes of the species are included. These coupled equations are solved by a finitedifference method using upwind schemes, variable mesh, and rigorous boundary conditions. The solution methodology unique to the present problem is discussed in detail. in particular, the significance of the surface tension gradient driven flows (also called Marangoni flows) in forming uniform liquid layers inside ICF targets is demonstrated. Using the theoretical model, the values of the externally applied thermal gradients that give rise to uniform liquid layers of hydrogen inside a cryogenic sphericalshell ICF target are calculated, and the results compared with the existing experimental data.
 Authors:

 Lawrence Livermore National Lab., CA (United States)
 Publication Date:
 Research Org.:
 Lawrence Livermore National Lab., CA (United States); Illinois Univ., Urbana, IL (United States)
 Sponsoring Org.:
 USDOE, Washington, DC (United States)
 OSTI Identifier:
 10180906
 Report Number(s):
 UCRLCR118128
ON: DE94018550; TRN: 94:018926
 DOE Contract Number:
 W7405ENG48
 Resource Type:
 Technical Report
 Resource Relation:
 Other Information: PBD: May 1994
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; LASER TARGETS; DESIGN; ION BEAM TARGETS; INERTIAL CONFINEMENT; BOUNDARY CONDITIONS; TEMPERATURE GRADIENTS; PROGRESS REPORT; THERMAL DIFFUSION; FINITE DIFFERENCE METHOD; SHELLS; LIQUID FUELS; 700411; INERTIAL CONFINEMENT DEVICES
Citation Formats
Simpson, E M, and Kim, Kyekyoon. Study of high gain spherical shell ICF targets containing uniform layers of liquid deuterium tritium fuel. A numericial model for analyzing thermal layering of liquid mixtures of hydrogen isotopes inside a spherical inertial confinement fusion target: Final report. United States: N. p., 1994.
Web. doi:10.2172/10180906.
Simpson, E M, & Kim, Kyekyoon. Study of high gain spherical shell ICF targets containing uniform layers of liquid deuterium tritium fuel. A numericial model for analyzing thermal layering of liquid mixtures of hydrogen isotopes inside a spherical inertial confinement fusion target: Final report. United States. https://doi.org/10.2172/10180906
Simpson, E M, and Kim, Kyekyoon. Sun .
"Study of high gain spherical shell ICF targets containing uniform layers of liquid deuterium tritium fuel. A numericial model for analyzing thermal layering of liquid mixtures of hydrogen isotopes inside a spherical inertial confinement fusion target: Final report". United States. https://doi.org/10.2172/10180906. https://www.osti.gov/servlets/purl/10180906.
@article{osti_10180906,
title = {Study of high gain spherical shell ICF targets containing uniform layers of liquid deuterium tritium fuel. A numericial model for analyzing thermal layering of liquid mixtures of hydrogen isotopes inside a spherical inertial confinement fusion target: Final report},
author = {Simpson, E M and Kim, Kyekyoon},
abstractNote = {A numerical model has been developed to describe the thermally induced behavior of a liquid layer of hydrogen isotopes inside a spherical Inertial Confinement Fusion (ICF) target and to calculate the farfield temperature gradient which will sustain a uniform liquid layer. This method is much faster than the trialanderror method previously employed. The governing equations are the equations of continuity, momentum, energy, mass diffusionconvection, and conservation of the individual isotopic species. Ordinary and thermal diffusion equations for the diffusion of fluxes of the species are included. These coupled equations are solved by a finitedifference method using upwind schemes, variable mesh, and rigorous boundary conditions. The solution methodology unique to the present problem is discussed in detail. in particular, the significance of the surface tension gradient driven flows (also called Marangoni flows) in forming uniform liquid layers inside ICF targets is demonstrated. Using the theoretical model, the values of the externally applied thermal gradients that give rise to uniform liquid layers of hydrogen inside a cryogenic sphericalshell ICF target are calculated, and the results compared with the existing experimental data.},
doi = {10.2172/10180906},
url = {https://www.osti.gov/biblio/10180906},
journal = {},
number = ,
volume = ,
place = {United States},
year = {1994},
month = {5}
}