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Activity Number:
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134
- Design of Experiments: Case Studies and Advancements
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Type:
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Contributed
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Date/Time:
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Monday, July 29, 2019 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Physical and Engineering Sciences
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Abstract #305042
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Title:
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Optimal Design for Estimating the Boltzmann-Enhanced Langmuir-Hinshelwood (BLH) Model for Graphite Oxidation Rates
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Author(s):
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Robert Mee* and Cristian Contescu
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Companies:
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University of Tennessee and Oak Ridge National Laboratory
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Keywords:
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nonlinear model;
nuclear graphite;
lack-of-fit;
power
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Abstract:
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The classical Langmuir-Hinshelwood (LH) model for oxidation of nuclear graphite in the presence of trace amounts of water vapor and hydrogen requires estimation of six or seven parameters. Contescu et al. (Carbon, 2018) showed this classical LH model to be inadequate for several types of graphite when temperature is varied over the range of 800 - 1100 (degrees C). A new model with four additional parameters was proposed and named the Boltzmann-enhanced Langmuir-Hinshelwood (BLH) model, because it uses a Boltzmann sigmoid function of temperature for the reaction order of water vapor. While this more flexible model has the advantage of improved fit, it has also proved difficult to estimate when the reaction order for water vapor is not clearly temperature dependent. In this paper, we propose a test for whether the reaction order is temperature dependent. Then we consider how to construct an optimal design for maximizing the power of this test and for estimating parameters of the Boltzmann-enhanced Langmuir-Hinshelwood (BLH) model.
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Authors who are presenting talks have a * after their name.
