“…Since the properties of fibrous material dramatically varied near the interfaces between highly porous insulations and thin interlayers, FVM was applied to numerically solve the combined conductive and radiative heat equations due to its more accurately considering interface properties [20][21][22]. Let N be a positive integer, 0 = x 0 < x, < x 2 < · · · < χ κ = L be a discretization of the total thickness of the highly porous insulating materials in presence of interlayers.…”
The combined radiative and conductive heat transfer through highly porous materials is a typical nonlinear problem in engineering thermal insulations. The complexity of the integral radiative and conductive heat transfer equations especially the nonlinearity of the heat radiation item makes it extremely difficult to obtain exact solution. A theoretical model was developed based on the combined radiative and conductive heat transfer through the highly porous materials with thin interlayers and numerically solved by using finite volume method. The effects of interlayer parameters on the total resistance of the constructions were evaluated with a view of optimal thermal insulation ability. The results indicate that the thermal resistance of the porous materials could be effectively improved by adding appropriate number of interlayers having appropriate thickness. The possibility of the micro-or nano-porous interlayers with super-light weight, super-resistance to heat radiation, and super-permeability to water vapor was also directed in highly porous materials for optimal thermal insulation in further work.
“…Since the properties of fibrous material dramatically varied near the interfaces between highly porous insulations and thin interlayers, FVM was applied to numerically solve the combined conductive and radiative heat equations due to its more accurately considering interface properties [20][21][22]. Let N be a positive integer, 0 = x 0 < x, < x 2 < · · · < χ κ = L be a discretization of the total thickness of the highly porous insulating materials in presence of interlayers.…”
The combined radiative and conductive heat transfer through highly porous materials is a typical nonlinear problem in engineering thermal insulations. The complexity of the integral radiative and conductive heat transfer equations especially the nonlinearity of the heat radiation item makes it extremely difficult to obtain exact solution. A theoretical model was developed based on the combined radiative and conductive heat transfer through the highly porous materials with thin interlayers and numerically solved by using finite volume method. The effects of interlayer parameters on the total resistance of the constructions were evaluated with a view of optimal thermal insulation ability. The results indicate that the thermal resistance of the porous materials could be effectively improved by adding appropriate number of interlayers having appropriate thickness. The possibility of the micro-or nano-porous interlayers with super-light weight, super-resistance to heat radiation, and super-permeability to water vapor was also directed in highly porous materials for optimal thermal insulation in further work.
“…Water side is described by the standard k-ε model [29], the constants in which are C μ = 0.09, C 1ε = 1.44, C 2ε = 1.92, σ k = 1.0 and σ ε = 1.3. Wall function is employed near plate walls to decrease inaccuracy in that region [30].…”
Section: Governing Equationsmentioning
confidence: 99%
“…The whole fin array size was limited as 56 mm × 12 mm to control computational scale. The governing equations were solved by SIMPLE algorithm [29]. Hybrid system was employed for the treatment of convection and diffusion terms.…”
Section: Modeling Numerical Procedures and Boundary Conditionsmentioning
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