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Thermal Conductivity Of Rubble Piles

Luan, Jing and Goldreich, Peter (2015) Thermal Conductivity Of Rubble Piles. Astrophysical Journal, 814 (1). Art. No. 36. ISSN 0004-637X. https://resolver.caltech.edu/CaltechAUTHORS:20160106-112101147

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Abstract

Rubble piles are a common feature of solar system bodies. They are composed of monolithic elements of ice or rock bound by gravity. Voids occupy a significant fraction of the volume of a rubble pile. They can exist up to pressure P ≈ є_yµ, where є_y is the monolithic material's yield strain and μ its rigidity. At low P, contacts between neighboring elements are confined to a small fraction of their surface areas. As a result, the effective thermal conductivity of a rubble pile, k_(con)≈ k(є_yµ)^(1/2), can be orders of magnitude smaller than the thermal conductivity of its monolithic elements, k. In a fluid-free environment, only radiation can transfer energy across voids. It contributes an additional component, k_(rad)=16ℓσT^3/3, to the total effective conductivity, k_(eff) = k_(con)+ k_(rad). Here ℓ, the inverse of the opacity per unit volume, is of the order of the size of the elements, and voids. An important distinction between k_(con) and k_(rad) is that the former is independent of the size of the elements, whereas the latter is proportional to it. Our expression for k_(eff) provides a good fit to the depth dependence of thermal conductivity in the top 140 cm of the lunar regolith. It also offers a good starting point for detailed modeling of thermal inertias for asteroids and satellites. Measurement of the response of surface temperature to variable insolation is a valuable diagnostic of a regolith. There is an opportunity for careful experiments under controlled laboratory conditions to test models of thermal conductivity such as the one we outline.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/0004-637X/814/1/36DOIArticle
http://iopscience.iop.org/article/10.1088/0004-637X/814/1/36PublisherArticle
http://arxiv.org/abs/1510.05295arXivDiscussion Paper
ORCID:
AuthorORCID
Luan, Jing0000-0001-6048-1959
Additional Information:© 2015. The American Astronomical Society. Received 2015 July 29; accepted 2015 October 14; published 2015 November 13. We thank David Rubincam, Thomas A. Prince, and Christian D. Ott for their comments and suggestions.
Subject Keywords:planets and satellites: surfaces
Issue or Number:1
Record Number:CaltechAUTHORS:20160106-112101147
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160106-112101147
Official Citation:Jing Luan and Peter Goldreich 2015 ApJ 814 36
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63420
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:06 Jan 2016 21:03
Last Modified:09 Mar 2020 13:19

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