Abstract
In this paper, the mathematical modeling of heat transfer in two aluminum cylinders controlled by a Peltier element is presented. The corresponding initial-boundary value problem is derived based on the Peltier and Seebeck thermoelectric effects in the scope of the linear theory of heat transfer. To validate the reliability of the mathematical model and identify its parameters, several sets of experiments have been performed on an originally designed test rig. The method of separation of variables is used to reduce the original three-dimensional system with distributed parameters to a spatially one-dimensional system which is nonlinear with respect to the input voltage as control function. The eigenvalues and eigenforms for the linearized problem are found by applying a Fourier analysis. The steady-state heat flow under a constant input signal is obtained for the considered structure as well. The corresponding numerical results are discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.