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Heat and sweat transport in fibrous media with radiation

Published online by Cambridge University Press:  11 March 2014

JILU WANG  and
WEIWEI SUN
JILU WANG
Affiliation:
Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong emails: jiluwang2-c@my.cityu.edu.hk, maweiw@math.cityu.edu.hk
WEIWEI SUN
Affiliation:
Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong emails: jiluwang2-c@my.cityu.edu.hk, maweiw@math.cityu.edu.hk
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Abstract

The paper is concerned with heat and sweat transport in porous textile media with a non-local thermal radiation and phase change. The model, based on a combination of these classical heat transfer mechanisms (convection, conduction and radiation), is governed by a nonlinear, degenerate and strongly coupled parabolic system. The thermal radiative flow is described by a radiation transport equation and characterized by the thermal absorptivity and emissivity of fibre. A conservative boundary condition is introduced to describe the radiative heat flux interacting with environment. With the conservative boundary condition, we prove the global existence of positive/non-negative weak solutions of a nonlinear parabolic system. A typical clothing assembly with a polyester batting material sandwiched in two laminated covers is investigated numerically. Numerical results show that the contribution of radiative heat transfer is comparable with that of conduction/convection in the sweating system.

Keywords

Heat and moisture transferRadiative heat transferPorous mediaGlobal weak solution
Type
Papers
Information
European Journal of Applied Mathematics , Volume 25 , Issue 3 , June 2014 , pp. 307 - 327
Copyright
Copyright © Cambridge University Press 2014 

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