2026-10-11T23:48:33Z https://api.figshare.com/v2/oai

oai:figshare.com:article/33974379 2026-09-23T16:04:49Z category_1 category_915 category_15 category_16 category_21 category_24 category_873 category_69 category_122 portal_87 item_type_3 month_year_09_2026

Effect of multiphase surface heating on the generation of thermal stresses in an infinitely long circular cylinder fixed in a rotating frame of reference Emad Awad (17541264) Alaa A. El-Bary (20308571) Hamdy M. Youssef (25098675) Biophysics Physical Sciences not elsewhere classified Neuroscience Physiology Biotechnology Evolutionary Biology Chemical Sciences not elsewhere classified Inorganic Chemistry Mental Health Anomalous thermal conductivity fractional thermoelasticity infinitely long cylinder rotating frame of reference Primary 34A08 74B05 80A20 <p>It is commonly known that the thermal conduction phenomenon is greatly influenced by the temperature and the internal structure of materials. 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. The multiphase surface temperature considered in the present investigation consists of three phases: (i) ramping-up temperature, (ii) dwelling temperature, and (iii) exponentially decaying temperature, generalizing the classical constant surface temperature. Analytical solutions in the Laplace domain are derived and using the Riemann sum series, numerical results for the temperature propagation, the stresses, and the displacement are recovered. The effects of rotation and multiphase surface temperature are studied, and it is found that the smaller angular velocity is, the larger time needed for noting the rotation effect is. Otherwise, the triple-phase surface heating changes the characteristics of thermal stresses and displacement.</p> 2026-09-23T16:04:49Z Dataset Dataset 10.6084/m9.figshare.33974379.v1 https://figshare.com/articles/dataset/Effect_of_multiphase_surface_heating_on_the_generation_of_thermal_stresses_in_an_infinitely_long_circular_cylinder_fixed_in_a_rotating_frame_of_reference/33974379 CC BY 4.0