Effect of multiphase surface heating on the generation of thermal stresses in an infinitely long circular cylinder fixed in a rotating frame of reference

For instance, in some materials with impurities and/or inhomogeneities, the thermal conductivity differs from the Fourier behavior. In this work, the thermoelastic response of an infinitely long circular solid cylinder with anomalous thermal conductivity is examined in relation to rotation and multiphase surface temperature.

The rotation-induced displacement is included when there is just a centrifugal force acting normal to the cylindrical surface and resulting from rotation about the cylinder axis. The fractional Fourier law of heat conduction with the Riemann-Liouville fractional derivative is used to express the anomaly of thermal conductivity. Furthermore, the multiphase surface temperature, which represents a real-life application, is mathematically represented by a piecewise function recently suggested by Awad, Phys Fluid, 2024.