Manipulating thermal fields with inhomogeneous heat spreadersCitation formats

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Manipulating thermal fields with inhomogeneous heat spreaders. / Russell, Eleanor R.; Assier, Raphaël C.; Parnell, William J.

In: Applied Mathematical Modelling, Vol. 106, 01.06.2022, p. 225-240.

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Russell, Eleanor R. ; Assier, Raphaël C. ; Parnell, William J. / Manipulating thermal fields with inhomogeneous heat spreaders. In: Applied Mathematical Modelling. 2022 ; Vol. 106. pp. 225-240.

Bibtex

@article{85a837f0c16b474c9267840c8f19be1f,
title = "Manipulating thermal fields with inhomogeneous heat spreaders",
abstract = "We design a class of spatially inhomogeneous heat spreaders in the context of steady-state thermal conduction leading to spatially uniform thermal fields across a large convective surface. Each spreader has a funnel-shaped design, either in the form of a trapezoidal prism or truncated cone, and is forced by a thermal source at its base. We employ transformation-based techniques, commonly used to study metamaterials, to determine the required thermal conductivity for the spreaders. The obtained materials, although strongly anisotropic and inhomogeneous, are accurately approximated by assembling isotropic, homogeneous layers, rendering them realisable. An alternative approach is then considered for the conical and trapezoidal spreaders by dividing them into two or three isotropic, homogeneous components respectively. We refer to these simple configurations as neutral layers. All designs are validated numerically both with and without the effects of thermal contact resistance between layers. Such novel designs pave the way for future materials that can manipulate and control the flow of heat, helping to solve traditional heat transfer problems such as controlling the temperature of an object and energy harvesting.",
author = "Russell, {Eleanor R.} and Assier, {Rapha{\"e}l C.} and Parnell, {William J.}",
year = "2022",
month = jun,
day = "1",
doi = "10.1016/j.apm.2022.01.026",
language = "English",
volume = "106",
pages = "225--240",
journal = "Applied Mathematical Modelling",
issn = "0307-904X",
publisher = "Elsevier BV",

}

RIS

TY - JOUR

T1 - Manipulating thermal fields with inhomogeneous heat spreaders

AU - Russell, Eleanor R.

AU - Assier, Raphaël C.

AU - Parnell, William J.

PY - 2022/6/1

Y1 - 2022/6/1

N2 - We design a class of spatially inhomogeneous heat spreaders in the context of steady-state thermal conduction leading to spatially uniform thermal fields across a large convective surface. Each spreader has a funnel-shaped design, either in the form of a trapezoidal prism or truncated cone, and is forced by a thermal source at its base. We employ transformation-based techniques, commonly used to study metamaterials, to determine the required thermal conductivity for the spreaders. The obtained materials, although strongly anisotropic and inhomogeneous, are accurately approximated by assembling isotropic, homogeneous layers, rendering them realisable. An alternative approach is then considered for the conical and trapezoidal spreaders by dividing them into two or three isotropic, homogeneous components respectively. We refer to these simple configurations as neutral layers. All designs are validated numerically both with and without the effects of thermal contact resistance between layers. Such novel designs pave the way for future materials that can manipulate and control the flow of heat, helping to solve traditional heat transfer problems such as controlling the temperature of an object and energy harvesting.

AB - We design a class of spatially inhomogeneous heat spreaders in the context of steady-state thermal conduction leading to spatially uniform thermal fields across a large convective surface. Each spreader has a funnel-shaped design, either in the form of a trapezoidal prism or truncated cone, and is forced by a thermal source at its base. We employ transformation-based techniques, commonly used to study metamaterials, to determine the required thermal conductivity for the spreaders. The obtained materials, although strongly anisotropic and inhomogeneous, are accurately approximated by assembling isotropic, homogeneous layers, rendering them realisable. An alternative approach is then considered for the conical and trapezoidal spreaders by dividing them into two or three isotropic, homogeneous components respectively. We refer to these simple configurations as neutral layers. All designs are validated numerically both with and without the effects of thermal contact resistance between layers. Such novel designs pave the way for future materials that can manipulate and control the flow of heat, helping to solve traditional heat transfer problems such as controlling the temperature of an object and energy harvesting.

U2 - 10.1016/j.apm.2022.01.026

DO - 10.1016/j.apm.2022.01.026

M3 - Article

VL - 106

SP - 225

EP - 240

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

SN - 0307-904X

ER -