1 Basic Equations
Time-dependent temperature fields T (r, t) play a crucial role in many technical applications. Their mathematical modeling enables us to predict the duration of a heating or cooling process, the heat taken up or released during the process, or the exact position inside a body where a maximum or a minimum temperature occurs at a certain time. The fundamentals needed for a calculation of such temperature fields are the first law of thermodynamics (applied as an energy balance of the system in question) and Fourier's law of heat conduction (as a rate equation, or an equation describing the “kinetics” of heat transfer). For the volume element of a stagnant incompressible medium, the (thermal) energy balance is
Equation (1) states that the internal energy of the volume element is increased if the net heat flux out of the system is less than the heat flux entering the system. An additional increase of...
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6 Bibliography
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Martin, H. (2010). E2 Transient Conduction in Stagnant Media. In: VDI Heat Atlas. VDI-Buch. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77877-6_33
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