Abstract
In the paper the application of fractional order calculus to the modelling of a beam heating process is discussed. The original process description in the form of the partial differential equation (Heat Transfer Equation) is transformed into a fractional order partial differential equation when the heat-flux is treated as the system input and the temperature is the system output. Using the Laplace transform, the transfer function of the beam heating system and its frequency response are obtained from the time-domain description. The theoretical results are verified with the experimental setup, using the thermoelectric (Peltier) module. The experimental results match the theoretical ones with high degree of accuracy.
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Dzieliński, A., Sierociuk, D. (2010). Fractional Order Model of Beam Heating Process and Its Experimental Verification. In: Baleanu, D., Guvenc, Z., Machado, J. (eds) New Trends in Nanotechnology and Fractional Calculus Applications. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3293-5_24
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DOI: https://doi.org/10.1007/978-90-481-3293-5_24
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