A Mathematical Study of a Semiconducting Thermoelastic Rotating Solid Cylinder with Modified Moore–Gibson–Thompson Heat Transfer under the Hall Effect

This research aims to investigate photo-thermoelastic interactions in a rotating infinite semiconducting solid cylinder under high magnetic field acting along its axis with the Hall current effect. The boundary surface is subjected variable heat flux generated by an exponential laser pulse. governing equations are expressed using new model generalized Moore–Gibson–Thompson photo-thermal (MGTPT) transfer for medium. (MGT) equation obtained introducing thermal relaxation parameter into Green–Naghdi (GN III) model. Laplace transform utilized determine mathematical expressions components of displacement, carrier density, temperature field, and stresses transformed domain. numerical inversion technique used obtain physical impacts relaxations, different theories thermoelasticity, current, rotation on temperature, stresses, density represented graphically MATLAB software.