Effect of Hall current in transversely isotropic magneto-thermoelastic rotating medium with fractional-order generalized heat transfer due to ramp-type heat

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

“…where . ϑ = T. Some other researchers also conducted similar research on the Hall current effect and the semiconductor medium, such as Marin [17], Lata and Kaur [18], Lotfy [19], Mahdy et al [20], Kaur and Singh [21,22], Marin et al [23,24], Kaur et al [25], Bhatti et al [26,27], Othman and Marin [28], Marin et al [29], Craciun et al [30], Lotfy et al [31], and Abouelregal et al [32]. However, from the literature review, it was observed that no work has been carried out in the transient study of semiconductor cylinders exposed to ultrashort pulsed laser heating along with the Hall effect and rotation.…”

“…Here, the magnetic parameter M (also known as the Hartmann number) measures the strength of the magnetic field. Using (25) in Equations ( 21)-( 23), after suppressing the primes, yields:…”

“…Using the dimensionless quantities defined by (25) in Equations ( 11)-( 13), after suppressing the primes, yields:…”

Photothermal excitation of an initially stressed nonlocal semiconducting double porous thermoelastic material under fractional order triple-phase-lag theory

“…Kumar and Gupta (2016) used the TPL heat equation of noninteger order established by Ezzat et al (2012a) to study the propagation behavior of plane waves in anisotropic TE domain. During the past decade, fractional order TPL model have influenced many researchers (Abbas, 2015; Abo-Dahab et al , 2020; Ezzat et al , 2013; Kaur et al , 2021) to broaden the areas of exploration and research investigation of thermoelasticity toward several new directions.…”

New analytical method for dynamic response of thermoelastic damping in simply supported generalized piezothermoelastic nanobeam

“…Zenkour [11] studied the thermomechanical response of microbeams with Refined two-temperature MPL theory and the modified couple stress analysis. Also, some other researchers worked on the nanobeam with other theories of thermoelasticity as Sharma and Kaur [12], Abouelregal and Zenkour [13], Elaziz et al [14], Wu et al [15], Reddy and Cheng [16], Bhatti et al [17], Singh et al [18], Craciun et al [19], Sharma and Marin [20], Khisaeva and Ostoja-Starzewski [21], Singh et al [22], Sharma and Grover [23], Vlase et al [24], Groza et al [25], Nicolescu & Bobe [26], Golewski [27][28][29], Abbas [30], Lata and Kaur [31][32][33][34][35][36], Bhatti and Michaelides [37].…”