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The paper reviews several topics associated with the homogenization of transport processed in historical masonry structures. Since these often experience an irregular or random pattern, we open the subject by summarizing essential steps in…

Materials Science · Physics 2012-11-21 Jan Sýkora , Jan Zeman , Michal Šejnoha

Homogenization of a simultaneous heat and moisture flow in a masonry wall is presented in this paper. The principle objective is to examine an impact of the assumed imperfect hydraulic contact on the resulting homogenized properties. Such a…

Computational Engineering, Finance, and Science · Computer Science 2014-02-14 Jan Sýkora , Michal Šejnoha , Jiří Šejnoha

The present paper deals with mathematical models of heat and moisture transport in layered building envelopes. The study of such processes generates a system of two doubly nonlinear evolution partial differential equations with appropriate…

Analysis of PDEs · Mathematics 2012-02-02 Michal Beneš , Jan Zeman

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but…

Mathematical Physics · Physics 2016-04-11 Bernard Deconinck , Beatrice Pelloni , Natalie Sheils

Interleaving fins can significantly increase the heat transfer by increasing the effective area per unit base area. The fins are separated uniformly by a gap, which is filled with a flow medium to control the heat flux. The heat flux…

Applied Physics · Physics 2019-12-25 M. A. J. van Limbeek , S. Vanapalli

A fully coupled transient heat and moisture transport in a masonry structure is examined in this paper. Supported by several successful applications in civil engineering the nonlinear diffusion model proposed by K\"{u}nzel is adopted in the…

Computational Engineering, Finance, and Science · Computer Science 2011-10-11 J. Sykora , T. Krejci , J. Kruis , M. Sejnoha

An analytic solution to a stationary heat conduction problem in 2D unbounded doubly periodic composite materials with temperature dependent conductivities of their components is given. Corresponding nonlinear boundary value problem is…

Analysis of PDEs · Mathematics 2014-04-01 David Kapanadze , Gennady Mishuris , Ekaterina Pesetskaya

This paper considers the problem of heat transfer in a composite ceramic material where the structural elements are bonded to the matrix via a thin heat resistant adhesive layer. The layer has the form of a circular ring or close to it.…

Materials Science · Physics 2016-04-21 Daria Andreeva , Wiktoria Miszuris , Alexander Zagnetko

We are investigating the effective heat transfer in complex systems involving porous media and surrounding fluid layers in the context of mathematical homogenization. We differentiate between two fundamentally different cases: Case (a),…

Analysis of PDEs · Mathematics 2024-05-01 Michael Eden , Tom Freudenberg

Comparisons of experimental observation of heat and moisture transfer through porous building materials with numerical results have been presented in numerous studies reported in literature. However, some discrepancies have been observed,…

Applied Physics · Physics 2020-02-20 Julien Berger , Suelen Gasparin , Denys Dutykh , Nathan Mendes

Within the theory of interacting continua, we develop a model for a heat conducting mixture of two interacting fluids described in terms of the densities and the velocities for each fluid and the temperature field for the mixture as a…

Soft Condensed Matter · Physics 2021-09-02 Josef Málek , Ondřej Souček

We present an effective thermal open boundary condition for convective heat transfer problems on domains involving outflow/open boundaries. This boundary condition is energy-stable, and it ensures that the contribution of the open boundary…

Fluid Dynamics · Physics 2019-10-23 X. Liu , Z. Xie , S. Dong

In this paper thermal conductivity and thermal diffusivity of a two layer system is examined from the theoretical point of view. We use the one dimensional heat diffusion equation with the appropriate solution in each layer and boundary…

Condensed Matter · Physics 2009-10-28 G. Gonzalez de la Cruz , Yu. G. Gurevich

In this paper, we show that a hybrid method using coupled boundary measurements can determine electrical conductivity, thermal conductivity, and the product of heat capacity and heat density within a bounded domain on the plane uniquely up…

Analysis of PDEs · Mathematics 2017-02-01 Yifan Chang

An uncoupled multi-scale homogenization approach is used to estimate the effective thermal conductivities of plain weave C/C composites with a high degree of porosity. The geometrical complexity of the material system on individual scales…

Materials Science · Physics 2008-07-23 Blanka Tomkova , Michal Sejnoha , Jan Novak , Jan Zeman

This article is proposed to investigate the impacts of heat and mass transfer in magnetohydrodynamic casson fluid embedded in porous medium. The generalized solutions have been traced out for the temperature distribution, mass concentration…

Fluid Dynamics · Physics 2017-06-14 Kashif Ali Abro , Hina Saeed Shaikh , Ilyas Khan

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but…

Numerical Analysis · Mathematics 2016-12-23 Natalie E. Sheils

This paper presents a steady-state and transient heat conduction analysis framework using the polygonal scaled boundary finite element method (PSBFEM) with polygon/quadtree meshes. The PSBFEM is implemented with commercial finite element…

Numerical Analysis · Mathematics 2021-06-24 Yang Yang , Zongliang Zhang , Yelin Feng , Yuzhen Yu , Kun Wang , Lihui Liang

This work presents an efficient numerical method based on spectral expansions for simulation of heat and moisture diffusive transfers through multilayered porous materials. Traditionally, by using the finite-difference approach, the problem…

Computational Engineering, Finance, and Science · Computer Science 2020-02-20 Suelen Gasparin , Denys Dutykh , Nathan Mendes

In the present Letter we present an analytical and numerical solution of the self-consistent mode-coupling equations for the problem of heat conductivity in one-dimensional systems. Such a solution leads us to propose a different scenario…

Statistical Mechanics · Physics 2009-11-11 L. Delfini , S. Lepri , R. Livi , A. Politi
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