Numerical simulation of transient, incongruent vaporization induced by high power laser
A mathematical model and numerical calculations were developed to solve the heat and mass transfer problems specifically for uranum oxide subject to laser irradiation. It can easily be modified for other heat sources or/and other materials. In the uranium-oxygen system, oxygen is the preferentially vaporizing component, and as a result of the finite mobility of oxygen in the solid, an oxygen deficiency is set up near the surface. Because of the bivariant behavior of uranium oxide, the heat transfer problem and the oxygen diffusion problem are coupled and a numerical method of simultaneously solving the two boundary value problems is studied. The temperature dependence of the thermal properties and oxygen diffusivity, as well as the highly ablative effect on the surface, leads to considerable non-linearities in both the governing differential equations and the boundary conditions. Based on the earlier work done in this laboratory by Olstad and Olander on Iron and on Zirconium hydride, the generality of the problem is expanded and the efficiency of the numerical scheme is improved. The finite difference method, along with some advanced numerical techniques, is found to be an efficient way to solve this problem.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6630561
- Report Number(s):
- LBL-12125; TRN: 81-005378
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
LASER-RADIATION HEATING
MATHEMATICAL MODELS
FINITE DIFFERENCE METHOD
HEAT TRANSFER
LASER TARGETS
OXYGEN
SIMULATION
URANIUM
ACTINIDES
ELEMENTS
ENERGY TRANSFER
HEATING
ITERATIVE METHODS
METALS
NONMETALS
NUMERICAL SOLUTION
PLASMA HEATING
TARGETS
700208* - Fusion Power Plant Technology- Inertial Confinement Technology