Interface thermal resistance and thermal conductivity in composites – an abrupt junction thermal diode model

Patel, Piyush; Gajjar, P. N.

doi:10.1016/j.physleta.2014.07.005

Cited by 14 publications

(9 citation statements)

References 37 publications

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“…The use of an anharmonic potential allows for the system to exhibit a near linear temperature gradient as shown in the snapshot in Fig 2 of a typical run [ 54 – 58 ]. The details of the simulations follow below.…”

Section: Resultsmentioning

confidence: 99%

One-Particle Representation of Heat Conduction Described within the Scope of the Second Law

Jesudason

2016

PLoS ONE

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The Carnot cycle and its deduction of maximum conversion efficiency of heat inputted and outputted isothermally at different temperatures necessitated the construction of isothermal and adiabatic pathways within the cycle that were mechanically “reversible”, leading eventually to the Kelvin-Clausius development of the entropy function with differential such that where the heat absorption occurs at the isothermal paths of the elementary Carnot cycle. Another required condition is that the heat transfer processes take place infinitely slowly and “reversibly”, implying that rates of transfer are not explicitly featured in the theory. The definition of ‘heat’ as that form of energy that is transferred as a result of a temperature difference suggests that the local mode of transfer of “heat” in the isothermal segments of the pathway implies a Fourier-like heat conduction mechanism which is apparently irreversible, leading to an increase in entropy of the combined reservoirs at either end of the conducting material, and which is deemed reversible mechanically. These paradoxes are circumvented here by first clarifying the terms used before modeling heat transfer as a thermodynamically reversible but mechanically irreversible process and applied to a one dimensional atomic lattice chain of interacting particles subjected to a temperature difference exemplifying Fourier heat conduction. The basis of a “recoverable trajectory” i.e. that which follows a zero entropy trajectory is identified. The Second Law is strictly maintained in this development. A corollary to this zero entropy trajectory is the generalization of the Zeroth law for steady state non-equilibrium systems with varying temperature, and thus to a statement about “equilibrium” in steady state non-thermostatic conditions. An energy transfer rate term is explicitly identified for each particle and agrees quantitatively (and independently) with the rate of heat absorbed at the reservoirs held at different temperatures and located at the two ends of the lattice chain in MD simulations, where all energy terms in the simulation refer to a single particle interacting with its neighbors. These results validate the theoretical model and provides the necessary boundary conditions (for instance with regard to temperature differentials and force fields) that thermodynamical variables must comply with to satisfy the conditions for a recoverable trajectory, and thus determines the solution of the differential and integral equations that are used to model these processes. These developments and results, if fully pursued would imply that not only can the Carnot cycle be viewed as describing a local process of energy-work conversion by a single interacting particle which feature rates of energy transfer and conversion not possible in the classical Carnot development, but that even irreversible local processes might be brought within the scope of this cycle, implying a unified treatment of thermodynamically (i) irreversible (ii) reversible (iii) isothermal and (iv) adiabatic...

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Section: Resultsmentioning

confidence: 99%

One-Particle Representation of Heat Conduction Described within the Scope of the Second Law

Jesudason

2016

PLoS ONE

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“…The asymmetrical distributions of the ITR and density profiles appear to be due to the asymmetrical mass arrangement. The thermal rectification effect in this system is expected because both the asymmetry of the structure [29][30][31][32][33]35,37,38] and mass arrangement [19,20,34,40] can bring about thermal rectification. In order to verify it, four cases of atomic masses of solid walls are compared in Fig.…”

Section: Effect Of Atomic Mass Of Solid Wallmentioning

confidence: 99%

“…In addition, Hu et al [24] analyzed the dependence of the thermal diode on heat flux in self-assembled monolayer (SAMs)-water systems. However, there were much fewer reports about thermal rectification related to liquids than that in solid materials [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer Characteristics in an Asymmetrical Solid–Liquid System by Molecular Dynamics Simulations

Feng

Liang

2015

Int J Thermophys

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Solid-liquid systems widely exist in micro-and nanodevices, and it is necessary to study the heat transfer mechanism through solid-liquid interfaces. An asymmetrical sandwich structure of a solid-liquid system consisting of liquid argon and artificial solid walls that have the same FCC structure with argon but a different atomic masses is composed. Heat transfer characteristics are investigated by the molecular dynamics method. The interaction strength between a liquid and solid plays an essential role in heat transport at solid-liquid interfaces, and the thermal resistance length is inversely proportional to it. The mass arrangement of artificial solid walls also has a significant effect on heat transport as well. A maximum heat flux comes up due to the mismatch in phonon spectra with the increasing atomic mass of one solid wall. The asymmetrical liquid density profiles are obtained with various mass differences between solid walls. Especially, a thermal rectification effect is observed and the magnitude is inextricably bound up with asymmetry.

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“…In the massspring oscillator model, the nearest neighbor interaction is incorporated by anharmonic FPU-β model with spring constant K=1 and anharmonicity parameter β=1 [60]. The method used for the computation of heat flux, thermal conductivity, and ITR is as follows [49][50][51][61][62][63].…”

Section: Model and Methodologymentioning

confidence: 99%

Study of heat conduction in three-layered structure—a sandwich model

Patel¹,

Gajjar²

2020

Phys. Scr.

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One-dimensional sandwich model, a three-layered structure - segmented thermoelectric material, is studied based on the mass-spring oscillator structure which effectively allows (resists) heat and can work as a heat conductor (heat barrier). The temperature profile, heat flux, interface thermal resistance, thermal conductivity and figure of merit of such sandwich structures are studied by varying the mass of an oscillator of the sandwich segment. It is seen that the heat transfer can be tuned by changing the mass of the middle segment of the sandwich model. When mass of an oscillator in middle layer is less (larger) than the mass of an oscillator of outer layers, the material behaves as a heat barrier (good heat conductor). It is shown that the proper mass asymmetry improved the figure of merit of the segmented thermoelectric material up to 244% in comparison to the single thermoelectric material.

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Interface thermal resistance and thermal conductivity in composites – an abrupt junction thermal diode model

Cited by 14 publications

References 37 publications

One-Particle Representation of Heat Conduction Described within the Scope of the Second Law

One-Particle Representation of Heat Conduction Described within the Scope of the Second Law

Heat Transfer Characteristics in an Asymmetrical Solid–Liquid System by Molecular Dynamics Simulations

Study of heat conduction in three-layered structure—a sandwich model

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