TRANSIENT THERMAL MIXED BOUNDARY VALUE PROBLEMS IN THE HALF-SPACE

TRANSIENT THERMAL MIXED BOUNDARY VALUE PROBLEMS IN THE HALF-SPACE

The Wiener—Hopf and Cagniard—de Hoop techniques are employed in order to solve a range of transient thermal mixed boundary value problems on the half-space. The thermal field in the half-space is determined via a rapidly convergent integral, which can be evaluated straightforwardly and efficiently....

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Veröffentlicht in:SIAM journal on applied mathematics 2016-01, Vol.76 (3), p.845-866
Hauptverfasser: PARNELL, WILLIAM J., NGUYEN, VU-HIEU, ASSIER, RAPHAEL, NAILI, SALAH, ABRAHAMS, I. DAVID
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Biomechanics
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Mechanics
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container_title SIAM journal on applied mathematics
container_volume 76
creator PARNELL, WILLIAM J.
NGUYEN, VU-HIEU
ASSIER, RAPHAEL
NAILI, SALAH
ABRAHAMS, I. DAVID
description The Wiener—Hopf and Cagniard—de Hoop techniques are employed in order to solve a range of transient thermal mixed boundary value problems on the half-space. The thermal field in the half-space is determined via a rapidly convergent integral, which can be evaluated straightforwardly and efficiently. Model problems are considered before the specific application areas of heat loss from buildings into the ground and cryology are described.
doi_str_mv 10.1137/15M1021076
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subjects Biomechanics
Engineering Sciences
Mechanics
title TRANSIENT THERMAL MIXED BOUNDARY VALUE PROBLEMS IN THE HALF-SPACE
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