Some analytical solutions of the one dimensional transient coupled heat and mass transfer linear equations in a semi-infinite medium are proposed, based on an extension of the thermal quadrupole formalism, in both axial and radial coordinate systems. A direct relationship is proposed between the local temperature and moisture content, both at wall and inner locations. For a previous characterized medium, these relationships seem to be relevant in order to deduce the moisture content from temperature measurements. Another application would be the transport parameters estimation.
Analytical Solution of Coupled Diffusion Equations in Semi-Infinite Media
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division September 11, 2003; revision received January 23, 2004. Associate Editor: J. N. Chung.
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Fudym, O., Batsale , J., Santander , R., and Bubnovich , V. (June 16, 2004). "Analytical Solution of Coupled Diffusion Equations in Semi-Infinite Media." ASME. J. Heat Transfer. June 2004; 126(3): 471–475. https://doi.org/10.1115/1.1731317
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