Reflection of plane harmonic wave in rotating media with fractional order heat transfer and two temperature

Kaur, Iqbal; Lata, Parveen; Singh, Kulvinder

doi:10.1016/j.padiff.2021.100049

Cited by 19 publications

(6 citation statements)

References 39 publications

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“…The presence of a magnetic field significantly influences physical quantities in all three theories, as evidenced by numerical computations and graphical representations. Othman et al [21] and Kaur et al [11] explored the impact of the magnetic field on plane waves in rotating semi-infinite space. The reflection of seismic waves at a thermally-insulated surface in magnetothermoelastic semi-infinite space has been discussed by Sarkar et al [24], Singh and Chakraborty [27], Abo-Dahab [2], Othman and Song [22], and others.…”

Section: Introductionmentioning

confidence: 99%

Plane Waves at an Interface of Thermoelastic and Magneto-Thermoelastic Media

Rani,

Madan,

Kumar

et al. 2024

Mathematical Modelling and Analysis

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This research examines the propagation of waves in a semi-infinite, isotropic magneto-thermoelastic solid, and a semi-infinite thermoelastic solid with welded contact. The study investigates the influence of a magnetic field on amplitude coefficients for the incidence of thermal, SV, and P waves in the magnetothermoelastic solid in a semi-infinite space. The incidence of these waves results in a total of six waves, including both refracted and reflected waves. The fluctuation of amplitude coefficients for various magnetic pressure values is explored for copper and aluminum as numerical constants. The study observes that the amplitude coefficients of seismic waves, occurring during the incidence of thermal, SV, and P waves in the magneto-thermoelastic solid semi-infinite space, are dependent on the incident angle, magnetic field, and material constants. Notably, the amplitude coefficients for the incidence of SV waves exhibit only a minor influence from the magnetic field. The implications of this research extend to applications in ocean acoustics, geophysics, acoustic devices, composite materials, and non-destructive testing.

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Section: Introductionmentioning

confidence: 99%

Plane Waves at an Interface of Thermoelastic and Magneto-Thermoelastic Media

Rani,

Madan,

Kumar

et al. 2024

Mathematical Modelling and Analysis

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“…Demirci and Ozlap 12 discussed an idea about a solution to differential equations involving fractional order. Heat transmission in rotating media with two temperatures and a fractional order Iqbal Kaur et al 13 examined the reflection of plane harmonic waves. Sharma and Kumari 14 investigated how nonlocal fractional-order thermoelastic half space affects plane wave reflection.…”

Section: Introductionmentioning

confidence: 99%

“…In a transversely isotropic magneto thermo elastic media, Parveen Lata and Iqbal Kaur 31 investigated the effect of Hall current and fractional order heat transfer caused by normal force. The plane wave’s propagation in a rotating visco-thermoelastic medium with Hall current was covered by Kaur et al 32 . Kumar et al 33 considered fractional ordered magneto-micropolar thermo-viscoelastic half-space due to ramp-type heat to check the effects of Hall current and rotation.…”

Section: Introductionmentioning

confidence: 99%

Propagation and reflection of thermoelastic wave in a rotating nonlocal fractional order porous medium under Hall current influence

Bibi,

Ali,

Azhar

et al. 2023

Sci Rep

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This investigation relates to the research on Hall current on propagation and reflection of elastic waves through non-local fractional-order thermoelastic rotating medium with voids. The system is split up into longitudinal and transverse components using the Helmholtz vector rule. It is observed that, through the frequency dispersion relation four coupled quasi-waves exist in the medium. The rotating solid modifies the nature of purely longitudinal and transverse waves toward the quasi-type waves. All the propagating waves are dispersive as they depend upon angular frequency. The quasi-longitudinal wave qP and quasi-transverse wave qSV faces cut-off frequencies. The nonlocal parameter affect all the waves except the quasi void wave. Analytically, the reflection coefficients of the wave are computed using suitable boundary conditions. MATLAB software is used to perform numerical computations for a chosen solid material. The amplitude ratios and the speed of propagation of the wave are plotted graphically for rotational frequency, nonlocal, fractional order, and Hall current parameter. The significant effect of the physical parameters on the computed results has been observed. The cut-off frequency of the waves is also presented graphically. The energy conservation law is proved in the form of energy ratios. The earlier findings in the literature are obtained as special case in the absence of rotation, Hall current parameter and porous voids.

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“…Kumar and Chawla 9 analyzed the reflection and refraction phenomena via a plane interface among the elastic and thermoelastic mediums by using the TPL model. Also, some research 10–13 helps in enhancing the present study by contributing the theory of thermoelasticity with three‐phase lags (TPLs). Akbarzadeh et al 14 studied the TPL heat transfer model in a hollow cylindrical shape of infinite length.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of three‐phase‐lag bio‐heat transfer model for generalized coordinate system amidst thermal ablation

Kumari

Singh

2022

Heat Trans

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Various heat transmits models exhibit a thermal response in the tissue during thermal therapies. In the present work, we proposed a three‐phase‐lag (TPL) bio‐heat‐transmitting model including an external laser heating term amidst thermal treatment for the generalized coordinate system. The TPL model is based on the law of heat conduction containing heat flux, temperature gradient, and thermal displacement gradient terms. The solution is determined by implementing a discretization scheme of finite difference in the company of the Runge–Kutta (4,5) technique to examine the temperature repercussion throughout the thermal treatment of the tumor. In addition to this, the impact of various parameters such as phase lag in heat flux, temperature gradient, thermal displacement gradient, the heat generated because of blood perfusion, metabolism, and external heat source term is studied. A comparison has been shown graphically during the thermal treatment. The temperature profile is studied for different coordinate systems, and results are discussed. Moreover, validation has been made of the TPL model used in this paper with the experimental results. Thus the outcomes achieved from this study are purposeful in the therapeutical field, especially for oncologists.

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Reflection of plane harmonic wave in rotating media with fractional order heat transfer and two temperature

Cited by 19 publications

References 39 publications

Plane Waves at an Interface of Thermoelastic and Magneto-Thermoelastic Media

Plane Waves at an Interface of Thermoelastic and Magneto-Thermoelastic Media

Propagation and reflection of thermoelastic wave in a rotating nonlocal fractional order porous medium under Hall current influence

Numerical simulation of three‐phase‐lag bio‐heat transfer model for generalized coordinate system amidst thermal ablation

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