Thermal performance of stratified fluid-filled geomaterials with compressible constituents around a deep buried decaying heat source

Thermal performance of stratified fluid-filled geomaterials with compressible constituents around... This paper investigates the transient thermal performance of stratified fluid-filled geomaterials with compressible constituents due to a buried decaying heat source. Starting with the governing partial differential equations, the ordinary differential matrix equation is derived by means of Laplace transform and Hankel transform. Using the extended precise integration method, the ordinary differential matrix equation is solved in the transformed domain, and the actual solutions are acquired through the inversion of Laplace and Hankel transforms. Two numerical calculations are given to validate the accuracy and feasibility of the presented approach, and other calculations are performed to study the effects of the heat source’s half-life, compressible constituents, thermal expansion coefficients, and the stratified character on the transient thermal response of medium. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Meccanica Springer Journals

Thermal performance of stratified fluid-filled geomaterials with compressible constituents around a deep buried decaying heat source

Meccanica , Volume 52 (12) – Jan 11, 2017
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Publisher
Springer Netherlands
Copyright
Copyright © 2017 by Springer Science+Business Media Dordrecht
Subject
Physics; Classical Mechanics; Civil Engineering; Automotive Engineering; Mechanical Engineering
ISSN
0025-6455
eISSN
1572-9648
D.O.I.
10.1007/s11012-016-0608-7
Publisher site
See Article on Publisher Site

Abstract

This paper investigates the transient thermal performance of stratified fluid-filled geomaterials with compressible constituents due to a buried decaying heat source. Starting with the governing partial differential equations, the ordinary differential matrix equation is derived by means of Laplace transform and Hankel transform. Using the extended precise integration method, the ordinary differential matrix equation is solved in the transformed domain, and the actual solutions are acquired through the inversion of Laplace and Hankel transforms. Two numerical calculations are given to validate the accuracy and feasibility of the presented approach, and other calculations are performed to study the effects of the heat source’s half-life, compressible constituents, thermal expansion coefficients, and the stratified character on the transient thermal response of medium.

Journal

MeccanicaSpringer Journals

Published: Jan 11, 2017

References

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