Mathematical modeling of photothermal wave propagation in a semiconducting medium due to L-S theory with diffusion and rotation effects

Alshaikh, Fatimah

doi:10.1080/15397734.2020.1776620

Cited by 16 publications

(9 citation statements)

References 39 publications

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“…(2013) in the context of LS model. Ignoring gravity effect: In order to discuss photo-TE interactions in a functionally graded medium with rotational effect, it is sufficient to take g = 0, which removes the gravitational effect from the medium. If we further neglect the influence of non-homogeneity from the medium, then the results match with those of Alshaikh (2022) (without diffusion). If we further ignore photo-thermal effect in this limiting case, then our results are in quite good agreement with those achieved by Kadian et al.…”

Section: Limiting Casesmentioning

confidence: 55%

“…(2019) scrutinised the effect of rotation in a magneto-TE transversely isotropic hollow cylinder. Alshaikh (2022) illustrated the influences of rotation and diffusion on photothermal wave propagation. Abouelregal (2020) introduced a photo-TE model by considering a half-space rotating with uniform angular velocity and subjected to a magnetic field with heat conduction equations of time-fractional order.…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Sheoran

Yadav

Punia

et al. 2023

MMMS

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PurposeThe purpose of this paper is to analyse the transient effects in a functionally graded photo-thermoelastic (TE) medium with gravity and rotation by considering two generalised TE theories: Lord–Shulman (LS) and Green–Lindsay (GL). The governing equations are derived in rectangular Cartesian coordinates for a two dimensional problem.Design/methodology/approachAll the physical properties of the semiconductor are supposed to vary exponentially with distance. The analytical solution is procured by employing normal mode technique on the resulting non-dimensional coupled field equations with appropriate boundary conditions.FindingsFor the mechanically loaded thermally insulated surface, normal displacement, stress components, temperature distribution and carrier density are calculated numerically with the help of MATLAB software for a silicon semiconductor and displayed graphically. Some particular cases of interest have also been deduced from the present results.Originality/valueThe effects of rotation and non-homogeneity on the different physical fields are investigated on the basis of analytical and numerical results. Comparisons are made with the results predicted by GL theory in the presence and absence of gravity for different values of time. Comparisons are also made between the three theories in the presence of rotation, gravity and in-homogeneity. Such problems are very important in many dynamical systems.

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Section: Limiting Casesmentioning

confidence: 55%

Section: Introductionmentioning

confidence: 99%

Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Sheoran

Yadav

Punia

et al. 2023

MMMS

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“…In order to discuss the problem in greater detail and to find out the effects of various parameters considered in the medium on the physical fields, we now perform some numerical computations. For this purpose, the following values of relevant parameters are taken from Alshaikh [29]: The values of the microtemperature and magnetic parameters are taken from Kalkal et al [48]:…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Thermodynamical fluctuations and photo-thermal shot noise in gravitational wave antennae were studied by Braginsky et al [28]. Mathematical modelling of photothermal wave propagation in a semiconducting medium under L-S theory with diffusion and rotation effects can be found in Alshaikh [29]. Abo-Dahab [30] investigated P-waves reflection in a semiconducting photothermal diffusion medium with initial stress and magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Magneto‐thermoelastic interactions in a photothermal semiconducting medium with diffusion and microtemperatures

Jangra,

Choudhary,

Deswal

2024

Z Angew Math Mech

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The current manuscript is an attempt to investigate the disturbances in a two‐dimensional homogeneous, isotropic, magneto‐thermoelastic material with mass diffusion, microtemperatures and photothermal effect. The expressions for different physical variables such as displacement, stresses, carrier density, temperature field and microtemperatures are obtained in the physical domain. The formulation is subjected to a thermal load. Normal mode analysis is adopted to procure the exact solution of the problem. Numerical computations have been carried out with the help of MATLAB programming and the results are illustrated graphically. The graphical results indicate that the effects of photothermal parameters, magnetic parameter, diffusion parameters and time are very much pronounced on the field variables. Results of some earlier authors have been reduced as particular cases of the present formulation.

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“…The control equations of a standard isotropic thermoelastic material with general thermal diffusion based on the model of Lord-Shulman, and the mechanical damage variable without the body forces and heat sources are determined by the application of the Sherief et al model [1,[8][9][10]30].…”

Section: Methodsmentioning

confidence: 99%

Thermal shock problem of a generalized thermoelastic solid sphere affected by mechanical damage and thermal diffusion

Youssef¹

2021

J., eng., them. sci.

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A mathematical model was created in this article, which consists of a thermoelastic, unified, and isotropic rigid sphere subjected to thermal diffusion. Thermal and chemical potential shocks of a diffusive substance have loaded the sphere's bounding structure. The governing equations were established in the form of a theory of generalized thermoelastic diffusion with mechanical damage taken into account. The temperature increment, concentration, pressure, displacement, stress, and chemical potential numerical effects have been expressed in figures with different values of the mechanical damage parameter, thermal relaxation time, and diffusional relaxation time. All the studied functions are significantly affected by the mechanical damage parameter, radial distance, time, thermal, and diffusional relaxation times. In the Lord-Shulman model, heat, diffusion, and mechanical waves spread at finite speeds on the thermoelastic solid sphere.

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Mathematical modeling of photothermal wave propagation in a semiconducting medium due to L-S theory with diffusion and rotation effects

Cited by 16 publications

References 39 publications

Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Thermodynamical interactions in a rotating functionally graded semiconductor material with gravity

Magneto‐thermoelastic interactions in a photothermal semiconducting medium with diffusion and microtemperatures

Thermal shock problem of a generalized thermoelastic solid sphere affected by mechanical damage and thermal diffusion

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