TY - EJOU
AU - Sahabi, Toufik
AU - Balaska, Smain
TI - Unsteady Heat Transfer in Bilayer, and Three-Layer Materials
T2 - Fluid Dynamics \& Materials Processing
PY - 2023
VL - 19
IS - 4
SN - 1555-2578
AB - The heat transfer equation is used to determine the heat flow by conduction through a composite material along the real axis. An analytical dimensionless analysis is implemented in the framework of a separation of variables method (SVM). This approach leads to an Eigenvalues problem that is solved by the Newtonâ€™s method. Two types of dynamics are found: An unsteady condition (in the form of jumps or drops in temperatures depending on the considered case), and a permanent equilibrium (tending to the ambient temperature). The validity and effectiveness of the proposed approach for any number of adjacent layers is also discussed. It is shown that, as expected, the diffusion of the temperature is linked to the ratio of the thermo-physical properties of the considered layers and their number.
KW - Heat transfer; conduction; eigen values; composite materials; thermo-physical properties
DO - 10.32604/fdmp.2022.022059