A study on generalized thermoelasticity theory based on non-local heat conduction model with dual-phase-lag

Gupta, Manushi; Mukhopadhyay, Santwana

doi:10.1080/01495739.2019.1614503

Cited by 30 publications

(11 citation statements)

References 31 publications

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“…If we further remove the nonlocal parameter effect in this limiting case, then our results match with those achieved by Said (2016) (after removing initial stress, magnetic field and two temperature effects). If we further neglect the gravitational effect in this specific case, then our results are in accordance with Gupta and Mukhopadhyay (2019) (after modifying boundary conditions).…”

Section: Gravitationalsupporting

confidence: 84%

“…Zenkour (2018) analyzed a two-dimensional generalized thermoelastic problem for a thick beam based on the DPL model. Gupta and Mukhopadhyay (2019) solved a problem of generalized thermoelasticity based on a nonlocal heat conduction model with DPL effects. Recently, Hobiny et al (2020) applied the integral transform technique to study the two-dimensional thermo-mechanical interactions in a porous material because of laser pulse under three-phase-lag theory.…”

Section: Introductionmentioning

confidence: 99%

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Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

Kumar

Kadian

Kalkal

2021

HFF

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Purpose The purpose of this study is to analyze the disturbances in a two-dimensional nonlocal, micropolar elastic medium under the dual-phase-lag model of thermoelasticity whose surface is subjected to an inclined mechanical load. The present study is carried out under the influence of gravity. Design/methodology/approach The normal mode technique is used to obtain the exact expressions of the physical fields. Findings For inclined mechanical load, the impact of micropolarity, nonlocal parameter, gravity and inclination angle have been highlighted on the considered physical fields. Originality/value The numerical results are computed for various physical quantities such as displacement, stresses and temperature for a magnesium crystal-like material and are illustrated graphically. The study is valuable for the analysis of thermoelastic problems involving gravitational field, nonlocal parameter, micropolarity and elastic deformations.

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Section: Gravitationalsupporting

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

Kumar

Kadian

Kalkal

2021

HFF

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“…During the 20th century, a new contribution has been achieved to the modification of the heat equation to generalize the classical theory of thermoelasticity. Gupta and Mukhopadhyay 36 introduced the generalized nonlocal thermoelasticity model depending on the nonlocal heat transfer law including dual‐phase lag. Quintanilla 37 extracted the three‐phase‐lag model differently and investigated the spatial behavior and stability of the new proposed model.…”

Section: Introductionmentioning

confidence: 99%

A novel model of nonlocal thermoelasticity with time derivatives of higher order

Abouelregal

2020

Math Methods in App Sciences

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The objective of this work is to introduce a new system of differential equations describing the nonlocal thermoelasticity theory with higher time derivatives and two-phase lags. In order to obtain this model, we used the nonlocal continuum theory proposed by Eringen and the methodology of the Taylor series expansion of higher-order time derivatives. Some generalized thermoelasticity theories follow as limited cases. This model is used to study the thermoelastic interaction in a nonlocal medium. The medium is exposed to an applied magnetic field and a periodic time heat source with a constant strength. Some comparisons have been displayed in figures to estimate the influences of the nonlocal parameter and magnetic field as well as the parameters of higher-order on all the field quantities.

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“…Available at www.ThermalFluidsCentral.org established (Wang, 2014;Cao and Guo, 2007;Guo and Hou, 2010;Dong et al, 2017;Dong et al, 2012;Gupta and Mukhopadhyay, 2019;Freitas et al, 2016;Wang et al, 2014;Jou et al, 2011;Cimmelli et al, 2016;Dong, 2016). For the second challenge, the fundamental reason why the principle of minimum entropy generation is not applicable to the optimization of heat transfer without energy conversion is that entropy is the core physical quantity in thermodynamics, whose research object is the conversion law between heat and other forms of energy, rather than in heat transfer, whose research object is the transfer law of heat.…”

Section: Frontiers In Heat and Mass Transfermentioning

confidence: 99%

Physical Heat Transfer

Wang¹,

Guo²

2019

Frontiers in Heat and Mass Transfer

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The classical heat transfer theory is established on the empirical models of Fourier's heat conduction law and Newton's cooling law. Although the classical theory has been successfully used in a wide range of industrial engineering applications, it lacks deep understanding of the physical mechanisms for energy transport and analytical methodology based on solid mathematical and mechanical principles. The rapid development of modern science and technology challenges the traditional heat transfer theory in two aspects: (1) Fourier's law of heat conduction is no longer valid under the ultra-fast laser heating or nanoscale conditions; (2) The optimization principle minimizing entropy generation is not suitable for heat transfer problems without heat to work conversion. In order to solve the first challenge, we reexamined the nature of heat and introduced new physical quantities, such as thermomass, thermomass velocity, thermomass energy. Then the heat transfer problems can be analyzed in the framework of vectorial fluid mechanics, and the thermomass momentum conservation equation has been established and known as a general law of heat transfer. For the second challenge, we introduced new physical quantities, entransy and entransy dissipation, by analogy between the heat conduction process and the electric conduction process. Unlike entropy as the core physical quantity in thermodynamics dealing with energy conversion, entransy is the quantity to represent the ability of heat transfer in an incompressible system. The entransy dissipation represents the irreversibility of heat transfer process. On this basis, the least action principle to minimize entransy dissipation can be used to optimize the heat transfer process and enhance energy efficiency. Because the physical essence of entransy is the thermomass potential energy, the entransy-based variational method is actually the energy method in heat transfer. All the new physical quantities, principles and methods form a new and independent knowledge system in heat transfer, which may be named "Physical heat transfer".

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A study on generalized thermoelasticity theory based on non-local heat conduction model with dual-phase-lag

Cited by 30 publications

References 31 publications

Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

Dual-phase-lag model for a nonlocal micropolar thermoelastic half-space subjected to gravitational field and inclined load

A novel model of nonlocal thermoelasticity with time derivatives of higher order

Physical Heat Transfer

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