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Research Papers: Radiative Heat Transfer

Control of Net Radiative Heat Transfer With a Variable-Emissivity Accordion Tessellation

[+] Author and Article Information
Rydge B. Mulford, Matthew R. Jones

Department of Mechanical Engineering,
Brigham Young University,
Provo, UT 84602

Vivek H. Dwivedi

NASA Goddard Space Flight Center,
Greenbelt, MD 20771

Brian D. Iverson

Department of Mechanical Engineering,
Brigham Young University,
Provo, UT 84602
e-mail: bdiverson@byu.edu

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 8, 2018; final manuscript received December 17, 2018; published online January 30, 2019. Assoc. Editor: Thomas Beechem.

J. Heat Transfer 141(3), 032702 (Jan 30, 2019) (10 pages) Paper No: HT-18-1519; doi: 10.1115/1.4042442 History: Received August 08, 2018; Revised December 17, 2018

Origami tessellations have been proposed as a mechanism for control of radiative heat transfer through the use of the cavity effect. This work explores the impact of a changing projected surface area and varying apparent radiative properties on the net radiative heat transfer of an accordion fold comprised of V-grooves. The net radiative heat transfer of an accordion tessellation is obtained by a thermal energy balance at the cavity openings with radiative properties of the cavities given as a function of various cavity parameters. Results of the analytical model are experimentally confirmed. An accordion tessellation, constructed of stainless-steel shim stock, is positioned to achieve a specified fold angle and placed in a vacuum environment while heated by Joule heating. A thermal camera records the apparent temperature of the cavity openings for various fold angles. Results are compared to apparent temperatures predicted with the analytical model. Analytically and experimentally obtained temperatures agree within 5% and all measurements fall within experimental uncertainty. For diffusely irradiated surfaces, the decrease in projected surface area dominates, causing a continuous decrease in net radiative heat transfer for a collapsing accordion fold. Highly reflective specular surfaces exposed to diffuse irradiation experience large turn-down ratios (7.5× reduction in heat transfer) in the small angle ranges. Specular surfaces exposed to collimated irradiation achieve a turn down ratio of 3.35 between V-groove angles of 120 deg and 150 deg. The approach outlined here may be extended to modeling the net radiative heat transfer for other origami tessellations.

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Figures

Grahic Jump Location
Fig. 1

Geometric features of the accordion tessellation, including the cavity angle ϕ, tessellation length LP, tessellation width WP, projected area of the cavity openings normal to collimated irradiation Aa,proj, apparent surface area of the tessellation Aa, apparent temperature Ta, and the collimated irradiation angle of incidence γ

Grahic Jump Location
Fig. 2

(a) Schematic of folded stainless-steel samples with sixteen “folded panels” and two “mounting panels” constrained between two copper bus bars. Bus bars were positioned using a plastic supporting base with a hole pattern associated with desired angle positions and (b) schematic of the experimental setup in a vacuum. Steady-state temperatures were measured with an infrared camera through a sapphire window, while the voltage and current associated with Joule heating were measured to determine net radiative heat transfer after accounting for losses.

Grahic Jump Location
Fig. 3

(a) Normalized net radiative heat exchange Π as a function of ϕ for a diffusely irradiated accordion tessellation with specular or diffuse reflection for two different intrinsic emissivities. The “flat” case indicates a flat, black surface, equivalent in size to the apparent area at a given cavity angle, (b) normalized net radiative heat exchange Π as a function of ϕ for a diffusely reflecting accordion tessellation with collimated irradiation incident on the accordion tessellation at several angles γ, and (c) normalized net radiative heat exchange Π as a function of ϕ for a specularly reflecting accordion tessellation with collimated irradiation incident on the accordion tessellation at several angles γ.

Grahic Jump Location
Fig. 4

(a) Temperature profile for a sample positioned at ϕ = π/2 with a total heating power of 3 W. The thermal image from which this profile is derived is displayed behind the temperature profile, where the temperature profile was measured along a horizontal line across the vertical center of the tessellation and (b) comparison of experimental and analytical model temperature values. Experimental temperature measurements are derived from a thermal image of the heated surface (e.g., Fig. 4(a)). Predicted temperature values are determined with the analytical approach of Eq. (9). Data from two of the seven tested fold angles are provided with the uncertainties of each measurement.

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