Parameter Estimation for a Thin Layer by Measuring Temperature Induced by a Heat Source

Abstract

We study the temperature profile for a semi-infinite thin layer due to a Gaussian heat source. We follow the time-dependent temperature profile at the center of the top surface of the layer, deriving the asymptotic behavior and both the short time and long time behaviors. We also show that one can estimate thermal properites from various time measurements of the temperature at the center of the top surface. Finally, we investigate the statistical uncertainty in estimating parameter values from temperature measurements.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2013
Accession Number
ADA595114

Entities

People

  • Hong Zhou
  • Hongyun Wang

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Data Sets
  • Equations
  • Heat Capacity
  • Heat Flux
  • Laser Beams
  • Lasers
  • Materials Processing
  • Mathematics
  • Measurement
  • Numbers
  • Probability Density Functions
  • Random Variables
  • Specific Heat
  • Square Roots
  • Thermal Conductivity
  • Thermal Properties

Readers

  • Computational Modeling and Simulation
  • Statistical inference.
  • Thermal Physics or Thermal Science.