An analytic approach to the unsteady heat conduction processes in one-dimensional composite media. (English) Zbl 0992.80006

Summary: The transient heat conduction problems in one-dimensional multi-layer solids are usually solved applying conventional techniques based on Vodicka’s approach. However, if the thermal diffusivity of each layer is retained on the side of the heat conduction equation modified from the application of the separation-of-variables method where the time-dependent function is collected, then the modified heat conduction equation by itself represents a transparent statement of the physical phenomena involved. This ‘natural’ choice thus simplifies unsteady heat conduction analysis of composite media, which thermal response computation reduces to a matter of relatively simple mathematics when compared with traditional techniques hitherto employed.


80A20 Heat and mass transfer, heat flow (MSC2010)
80M25 Other numerical methods (thermodynamics) (MSC2010)
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