Logarithmic density dependence of viscosity and thermal conductivity of a dense gas

Вассерман, А. А.; Putin, B. A.

doi:10.1007/bf00858168

Cited by 5 publications

(2 citation statements)

References 8 publications

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“…A more general form of κ(ρ) can be found in [32]. The corresponding boundary conditions are given by…”

Section: Discussionmentioning

confidence: 99%

Heat and sweat transport in fibrous media with radiation

Wang¹,

Sun²

2014

Eur. J. Appl. Math

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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.

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“…A more general form of κ(ρ) can be found in [32]. The corresponding boundary conditions are given by…”

Section: Discussionmentioning

confidence: 99%

Heat and sweat transport in fibrous media with radiation

Wang¹,

Sun²

2014

Eur. J. Appl. Math

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“…A more general form of κ(ρ) can be found in [21]. We consider a class of commonly used Robin type boundary conditions [5,6,11,23] defined by (1.7) and the initial condition is…”

Section: Introductionmentioning

confidence: 99%

Global existence of weak solution to the heat and moisture transport system in fibrous porous media

Sun

Wang³

2010

Journal of Differential Equations

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This paper is concerned with theoretical analysis of a heat and moisture transfer model arising from textile industries, which is described by a degenerate and strongly coupled parabolic system. We prove the global (in time) existence of weak solution by constructing an approximate solution with some standard smoothing. The proof is based on the physical nature of gas convection, in which the heat (energy) flux in convection is determined by the mass (vapor) flux in convection.

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Fluctuations in fluids out of thermal equilibrium

Law

Sengers

1989

J Stat Phys

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Logarithmic density dependence of viscosity and thermal conductivity of a dense gas

Cited by 5 publications

References 8 publications

Heat and sweat transport in fibrous media with radiation

Heat and sweat transport in fibrous media with radiation

Global existence of weak solution to the heat and moisture transport system in fibrous porous media

Fluctuations in fluids out of thermal equilibrium

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