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Title: Temperature distributions in the laser-heated diamond anvil cell from 3-D numerical modeling

Abstract

We present TempDAC, a 3-D numerical model for calculating the steady-state temperature distribution for continuous wave laser-heated experiments in the diamond anvil cell. TempDAC solves the steady heat conduction equation in three dimensions over the sample chamber, gasket, and diamond anvils and includes material-, temperature-, and direction-dependent thermal conductivity, while allowing for flexible sample geometries, laser beam intensity profile, and laser absorption properties. The model has been validated against an axisymmetric analytic solution for the temperature distribution within a laser-heated sample. Example calculations illustrate the importance of considering heat flow in three dimensions for the laser-heated diamond anvil cell. In particular, we show that a “flat top” input laser beam profile does not lead to a more uniform temperature distribution or flatter temperature gradients than a wide Gaussian laser beam.

Authors:
;  [1];  [2]
  1. Department of Earth and Space Sciences, University of California, Los Angeles, California 90095 (United States)
  2. Department of Earth and Planetary Science, University of California, Berkeley, California 94720 (United States)
Publication Date:
OSTI Identifier:
22258724
Resource Type:
Journal Article
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 114; Journal Issue: 20; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ABSORPTION; ANALYTICAL SOLUTION; AXIAL SYMMETRY; BEAM PROFILES; DIAMONDS; EQUATIONS; GASKETS; HEAT FLUX; LASERS; STEADY-STATE CONDITIONS; TEMPERATURE DISTRIBUTION; TEMPERATURE GRADIENTS; THERMAL CONDUCTION; THERMAL CONDUCTIVITY

Citation Formats

Rainey, E. S. G., Kavner, A., Hernlund, J. W., and Earth-Life Science Institute, Megoro, Tokyo 152-8551. Temperature distributions in the laser-heated diamond anvil cell from 3-D numerical modeling. United States: N. p., 2013. Web. doi:10.1063/1.4830274.
Rainey, E. S. G., Kavner, A., Hernlund, J. W., & Earth-Life Science Institute, Megoro, Tokyo 152-8551. Temperature distributions in the laser-heated diamond anvil cell from 3-D numerical modeling. United States. https://doi.org/10.1063/1.4830274
Rainey, E. S. G., Kavner, A., Hernlund, J. W., and Earth-Life Science Institute, Megoro, Tokyo 152-8551. 2013. "Temperature distributions in the laser-heated diamond anvil cell from 3-D numerical modeling". United States. https://doi.org/10.1063/1.4830274.
@article{osti_22258724,
title = {Temperature distributions in the laser-heated diamond anvil cell from 3-D numerical modeling},
author = {Rainey, E. S. G. and Kavner, A. and Hernlund, J. W. and Earth-Life Science Institute, Megoro, Tokyo 152-8551},
abstractNote = {We present TempDAC, a 3-D numerical model for calculating the steady-state temperature distribution for continuous wave laser-heated experiments in the diamond anvil cell. TempDAC solves the steady heat conduction equation in three dimensions over the sample chamber, gasket, and diamond anvils and includes material-, temperature-, and direction-dependent thermal conductivity, while allowing for flexible sample geometries, laser beam intensity profile, and laser absorption properties. The model has been validated against an axisymmetric analytic solution for the temperature distribution within a laser-heated sample. Example calculations illustrate the importance of considering heat flow in three dimensions for the laser-heated diamond anvil cell. In particular, we show that a “flat top” input laser beam profile does not lead to a more uniform temperature distribution or flatter temperature gradients than a wide Gaussian laser beam.},
doi = {10.1063/1.4830274},
url = {https://www.osti.gov/biblio/22258724}, journal = {Journal of Applied Physics},
issn = {0021-8979},
number = 20,
volume = 114,
place = {United States},
year = {Thu Nov 28 00:00:00 EST 2013},
month = {Thu Nov 28 00:00:00 EST 2013}
}