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Title: Self-consistent numerical model for analyzing thermal layering of liquid mixtures of hydrogen isotopes inside a spherical inertial confinement fusion target

Abstract

A self-consistent 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 far-field temperature gradient which will sustain a uniform liquid layer. This method is much faster than the trial-and-error method previously employed. The governing equations are the equations of continuity, momentum, energy, mass diffusion--convection, 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 finite-difference 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 as 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 spherical-shell ICF target are calculated, and the results compared with the existing experimental data. For targets containing a mixture of hydrogen and deuterium the agreement between the theoretical predictions based on either themore » binary or ternary mixture model and the experimental data is shown to be excellent.« less

Authors:
;  [1];  [2]
  1. Fusion Technology Laboratory, University of Illinois, 1406 West Green Street Urbana, Illinois 61801 (United States)
  2. Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
Publication Date:
OSTI Identifier:
7182241
Resource Type:
Journal Article
Journal Name:
Journal of Vacuum Science and Technology, A (Vacuum, Surfaces and Films); (United States)
Additional Journal Information:
Journal Volume: 10:4; Journal ID: ISSN 0734-2101
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; INERTIAL CONFINEMENT; TARGETS; THERMONUCLEAR FUELS; FLUID MECHANICS; BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; HYDROGEN ISOTOPES; LAYERS; LIQUIDS; MIXTURES; TEMPERATURE GRADIENTS; CONFINEMENT; DISPERSIONS; FLUIDS; FUELS; ISOTOPES; ITERATIVE METHODS; MECHANICS; NUMERICAL SOLUTION; PLASMA CONFINEMENT; 700411* - Inertial Confinement Devices- (1992-)

Citation Formats

Simpson, E M, Kim, K, and Bernat, T P. Self-consistent numerical model for analyzing thermal layering of liquid mixtures of hydrogen isotopes inside a spherical inertial confinement fusion target. United States: N. p., 1992. Web. doi:10.1116/1.578241.
Simpson, E M, Kim, K, & Bernat, T P. Self-consistent numerical model for analyzing thermal layering of liquid mixtures of hydrogen isotopes inside a spherical inertial confinement fusion target. United States. https://doi.org/10.1116/1.578241
Simpson, E M, Kim, K, and Bernat, T P. Wed . "Self-consistent numerical model for analyzing thermal layering of liquid mixtures of hydrogen isotopes inside a spherical inertial confinement fusion target". United States. https://doi.org/10.1116/1.578241.
@article{osti_7182241,
title = {Self-consistent numerical model for analyzing thermal layering of liquid mixtures of hydrogen isotopes inside a spherical inertial confinement fusion target},
author = {Simpson, E M and Kim, K and Bernat, T P},
abstractNote = {A self-consistent 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 far-field temperature gradient which will sustain a uniform liquid layer. This method is much faster than the trial-and-error method previously employed. The governing equations are the equations of continuity, momentum, energy, mass diffusion--convection, 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 finite-difference 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 as 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 spherical-shell ICF target are calculated, and the results compared with the existing experimental data. For targets containing a mixture of hydrogen and deuterium the agreement between the theoretical predictions based on either the binary or ternary mixture model and the experimental data is shown to be excellent.},
doi = {10.1116/1.578241},
url = {https://www.osti.gov/biblio/7182241}, journal = {Journal of Vacuum Science and Technology, A (Vacuum, Surfaces and Films); (United States)},
issn = {0734-2101},
number = ,
volume = 10:4,
place = {United States},
year = {1992},
month = {7}
}