A thermodynamic two-temperature model with distinct fractional derivative operators for an infinite body with a cylindrical cavity and varying properties

Abouelregal, Ahmed E.; Nofal, Taher A.; Alsharari, Fahad

doi:10.1016/j.joes.2022.05.001

Cited by 9 publications

(1 citation statement)

References 52 publications

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“…Abouelregal et al [29] modified the heat conduction equation using the fractional derivative of the thermoelastic medium. On the other hand, Abouelregal et al [30,31] used the time-fractional derivative technique to study the exciting viscoelastic two-temperature model for an infinite dipolar elastic body. El-Sapa et al [32] studied the Moore-Gibsonompson model of an excited nonlocal semiconductor material when the stability investigations are taken into account.…”

Section: Introductionmentioning

confidence: 99%

Laser Short-Pulse Effect on Thermodiffusion Waves of Fractional Heat Order for Excited Nonlocal Semiconductor

Almoneef

El‐Sapa

Lotfy

et al. 2022

Advances in Condensed Matter Physics

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In this work, the thermal effect of a laser pulse is taken into account when mechanical-thermodiffusion (METD) waves are studied. The nonlocal semiconductor material is used when interference between holes and electrons occurs. The fractional technique is applied on the heat equation according to the photo-thermoelasticity theory. The governing equations describe the photo-excitation processes according to the overlapping between the thermoelasticity and photothermal theories. The thermoelastic deformation (TD) and the electronic deformation (ED) for the dimensionless fields are taken in one dimension (1D). The Laplace transforms are applied to obtain the analytical solutions when some initial and boundary conditions are applied at the nonlocal surface. The complete nondimensional solutions of the main quantities are obtained according to some numerical simulation approximate during the inversion processes of Laplace transforms and Fourier expansion. The time-fractional order, nonlocal, and thermal memories are used to compare the wave propagations of the main fields and are discussed graphically for nonlocal silicon material.

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Section: Introductionmentioning

confidence: 99%