A new three-dimensional heat flux-temperature integral relationship for half-space transient diffusion

DOI10.1016/J.JFRANKLIN.2010.08.002zbMath1207.80008OpenAlexW2085927447MaRDI QIDQ613929

Jay I. Frankel, Rao V. Arimilli, Majid Keyhani

Publication date: 23 December 2010

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2010.08.002

zbMATH Keywords

heat equationheat fluxFourier lawAbel regularizationintegral relationship

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Unnamed Item
• A new flux integral relationship for half-space transient heat conduction with arbitrary initial condition
• Regularization of inverse heat conduction by combination of rate sensor analysis and analytic continuation
• A new multidimensional integral relationship between heat flux and temperature for direct internal assessment of heat flux
• Inferring convective and radiative heating loads from transient surface temperature measurements in the half-space
• A new anisotropic, two-dimensional, transient heat flux-temperature integral relationship for half-space diffusion

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