Effect of rotation in magneto-thermoelastic transversely isotropic hollow cylinder with three-phase-lag model

Biswas, Siddhartha; Mukhopadhyay, Banibrata; Shaw, Soumen

doi:10.1080/15397734.2018.1545587

Cited by 31 publications

(13 citation statements)

References 37 publications

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“…The phase lags are τ q = 16 s, τ T = 6 s 32 and τ v = 2 s 18 , which satisfy the inequality 0 ≤ τ v < τ T < τ q 14 . It is necessary to mention that τ v is assumed as 2 s based on the stable request of solution 18 and relative size of numerical value between the phase lags of heat flux, temperature gradient and thermal displacement gradient 14 , 22 , 24 . It is shown in the figure that the results converge quickly as the number increases.…”

Section: Resultsmentioning

confidence: 99%

“…Mukhopadhyay et al 21 presented a thorough analysis of effects of phase lags on wave propagation and investigated the nature of distributions of different fields in a thick plate based on thermoelasticity with three phase-lags and thermoelasticity of type GN-III (without any phase lag). Biswas and coauthors [22][23][24][25] published a set of researches based on TPL model, such as the propagation of Rayleigh waves in orthotropic thermos-elastic half-space, the solution in closed form for an electro-magneto thermoelastic coupled two-dimensional problem in orthotropic half space, the various heat source responses in a transversely isotropic hollow cylinder, and free vibration of homogenous isotropic cylinder panel with voids. Li et al 26 investigated the transient thermoelastic responses of bi-layered skin tissue with temperature-dependent thermal material parameters in the context of generalized thermoelasticity without energy dissipation.…”

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confidence: 99%

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Bio-heat response of skin tissue based on three-phase-lag model

Zhang¹,

Sun²,

Yang³

2020

Sci Rep

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In this article, the thermal response of skin tissue is investigated based on three-phase-lag (TPL) model of heat conduction. The governing equation of bio-heat conduction is established by introducing both the TPL model of heat conduction and a modified energy conservation equation. The analytical solution is obtained by adopting the method of separation of variables and a parametric study on temperature responses in TPL model is carried out. It is shown that the TPL model can predict both the diffusion and wave characteristics of bio-heat conduction. Increasing the phase-lag of thermal displacement gradient would result in the rise of thermal propagation speed and decrease the temperature in affected zone. The perfusion rate of arterial blood has no obvious effect on thermal propagation velocity and thermal propagation lagging. Increasing of the rate of blood perfusion contributes to decreasing the temperature of steady state.

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Section: Resultsmentioning

confidence: 99%

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confidence: 99%

Bio-heat response of skin tissue based on three-phase-lag model

Zhang¹,

Sun²,

Yang³

2020

Sci Rep

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“…Refined, Zenkour [23,24] presented a two-temperature multi PLs model for thermomechanical response of microbeams and plane wave propagation in thermoelastic medium. Biswas et al [25] dealt with different heat source behavior in a hollow cylinder based on the TPL generalized thermoelasticity theory. Zenkour [26,27] presented a refined multi PLs model for thermal activation and photothermal waves of gravitated semiconducting half-spaces.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic interactions in a hollow cylinder due to a continuous heat source without energy dissipation

Zenkour

Kutbi

2020

Mater. Res. Express

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The linear generalized Green-Naghdi thermoelasticity theory without energy dissipation is employed. The study of thermoelastic interactions in a hollow cylinder under a continuous heat source is carried out. Firstly, Laplace and Hankel transforms are employed to solve the problem without the time domain. Then, the state space approach is employed to get the exact solution of the problem in the space domain. Once again, the inverse Laplace transforms is used to get the solutions in the time domain. Accurate terminologies for the temperature, thermoelastic potential, axial displacement, dilatation, and stresses are derived. Numerical outcomes for field variables are presented with the view of illustrating the theoretical results.

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“…Biswas and Shaw (2018) proposed a thermodynamic framework to analyze thermal shock response in an anisotropic hollow cylinder with energy dissipation. Biswas et al (2019) considered the effect of rotation in a magneto-thermoelastic transversely isotropic hollow cylinder with 1213 Isotropic hollow cylinder the TPL model. Biswas (2019) employed an eigenvalue approach to a magnetothermoelastic problem in a transversely isotropic hollow cylinder under three different theories.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of transversely isotropic hollow cylinder considering three different theories using the matrix Frobenius method

Biswas

2019

MMMS

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Purpose The purpose of this paper is to deal with the three-dimensional analysis of free vibrations in a stress-free and rigidly fixed homogeneous transversely isotropic hollow cylinder in the context of three-phase-lag (TPL) model of hyperbolic thermoelasticity. Design/methodology/approach The matrix Frobenius method of extended power series is employed to obtain the solution of coupled ordinary differential equations along the radial coordinate. Findings The natural frequency, dissipation factor and inverse quality factor in the stress-free and rigidly fixed hollow cylinder get significantly affected due to thermal vibrations and thermo-mechanical coupling. Originality/value The modified Bessel functions and matrix Frobenius method have been directly used to study the vibration model of a homogeneous, transversely isotropic hollow cylinder in the context of TPL model based on three-dimensional thermoelasticity.

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Effect of rotation in magneto-thermoelastic transversely isotropic hollow cylinder with three-phase-lag model

Cited by 31 publications

References 37 publications

Bio-heat response of skin tissue based on three-phase-lag model

Bio-heat response of skin tissue based on three-phase-lag model

Thermoelastic interactions in a hollow cylinder due to a continuous heat source without energy dissipation

Vibration analysis of transversely isotropic hollow cylinder considering three different theories using the matrix Frobenius method

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