Heat and Mass Transfer in Capillary-Porous Bodies

Luikov, A.V.

doi:10.1016/b978-1-4832-0065-1.50010-6

Cited by 428 publications

(273 citation statements)

References 0 publications

Supporting

Mentioning

266

Contrasting

Unclassified

Order By: Relevance

“…by solving the macroscopic conservation equations, which can be derived by volume-averaging the microscopic conservation equations of each phase [19] or by adopting a phenomenological approach on a macroscopic level [20,21]. The porous materials consists of three different incompressible phases: the solid phase (subscript s ), namely the solid material matrix, the liquid phase (subscript l ), namely liquid water, and the gaseous phase (subscript g ), namely…”

Section: Porous-materials Modellingmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of convective heat and mass transfer coefficients for convective drying of a porous flat plate by conjugate modelling

Defraeye

Blocken

Carmeliet

2012

International Journal of Heat and Mass Transfer

View full text Add to dashboard Cite

Defraeye T., Blocken B., , Analysis of convective heat and mass transfer coefficients for convective drying of a porous flat plate by conjugate modelling, International Journal of Heat and Mass Transfer 55 (1-3), 112-124. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2011. does not require knowledge of convective transfer coefficients (CTCs) but allows determining the CTCs aposteriori, hence identifying their spatial and temporal variability, which is the main focus of this study.Comparison is made with porous-material modelling using spatially and/or temporally constant CTCs. Both spatial and temporal variations of the convective boundary conditions are found to have a distinct impact on the drying behaviour: the spatial CTC variation results in two-dimensional drying of the porous material due to leading-edge effects; the temporal CTC variation identifies distinct maxima in the drying rates at the surface right before the surface dries out locally. The CTCs obtained with conjugate modelling remain approximately constant during the constant and decreasing drying rate period (CDRP and DDRP, respectively), but a distinct variation is noticed at the transition of CDRP to DDRP. The heat and mass transfer analogy is found to be valid during the CDRP and to a lesser extent during the DDRP but large discrepancies are found during the transition of CDRP to DDRP. The advantages of conjugate modelling are indicated in this study but the need for detailed modelling of convective boundary conditions is however strongly dependent on the drying behaviour of the porous material and is not always required. Nomenclature

show abstract

Section: Porous-materials Modellingmentioning

confidence: 99%

“…where q PM is the conductive heat flux, which is defined as: (21) The enthalpy of liquid water is defined as:…”

Section: Conservation Of Energymentioning

confidence: 99%

Analysis of convective heat and mass transfer coefficients for convective drying of a porous flat plate by conjugate modelling

Defraeye

Blocken

Carmeliet

2012

International Journal of Heat and Mass Transfer

View full text Add to dashboard Cite

show abstract

“…In general, the heat and mass transfer is governed by the two second order non-linear partial differential equations [7]. In our case, only equation which describes heat conduction governed predominantly by temperature gradients was considered.…”

Section: Governing Equationsmentioning

confidence: 99%

Solving heat transfer in a timber beam exposed to fire with methods based on radial basis functions (RBFs)

Vrankar

Turk

Kansa³

et al. 2011

Boundary Elements and Other Mesh Reduction Methods XXXIII

View full text Add to dashboard Cite

The objective of this paper is to represent an alternative approach to conventional numerical methods for solving heat transfer and charring behaviour of timber when exposed to fire. The model consists of differential equations for heat transfer with the corresponding boundary conditions. The char formation in the wood beam as a function of its temperature is also taken into account by the model. Picard's or Newton's methods are used for solving the second-order non-linear partial differential equations. In recent years, the RBF methods have emerged as novel computing methods in the scientific computing community. Traditionally, the most popular methods have been the finite element methods (FEM), the finite difference methods (FDM), and boundary element method (BEM). The results are tested on the one-dimensional case in standard fire conditions, for which the comparison is made with the results of one-dimensional charring rate models for wood. The same model is used to analyze a two-dimensional behaviour of a timber beam exposed to fire from three sides.

show abstract

“…The experiments are conducted at temperatures up to 400°F, where radiation can be neglected owing to the fact that the core is opaque and consists of capillary pores (Luikov, 1966). As the rock sample may contain fluid, therefore, the heater is placed on top of the core so that density gradients will align with the direction of the gravitational field and eliminate macroscopic convection.…”

Section: )mentioning

confidence: 99%

Oil recovery from naturally fractured reservoirs by steam injection methods. Final report

Reis¹,

Miller²

1995

View full text Add to dashboard Cite

Heat and Mass Transfer in Capillary-Porous Bodies

Cited by 428 publications

References 0 publications

Analysis of convective heat and mass transfer coefficients for convective drying of a porous flat plate by conjugate modelling

Analysis of convective heat and mass transfer coefficients for convective drying of a porous flat plate by conjugate modelling

Solving heat transfer in a timber beam exposed to fire with methods based on radial basis functions (RBFs)

Oil recovery from naturally fractured reservoirs by steam injection methods. Final report

Contact Info

Product

Resources

About