Porous Materials

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Glenn M Walker - One of the best experts on this subject based on the ideXlab platform.

  • time dependent model for fluid flow in Porous Materials with multiple pore sizes
    Analytical Chemistry, 2017
    Co-Authors: Brian M Cummins, Rukesh Chinthapatla, Frances S Ligler, Glenn M Walker
    Abstract:

    An understanding of fluid transport through Porous Materials is critical for the development of lateral flow assays and analytical devices based on paper microfluidics. Models of fluid transport within Porous Materials often assume a single capillary pressure and permeability value for the material, implying that the material comprises a single pore size and that the Porous material is fully saturated behind the visible wetted front. As a result, current models can lead to inaccuracies when modeling transport over long distances and/or times. A new transport model is presented that incorporates a range of pore sizes to more accurately predict the capillary transport of fluid in Porous Materials. The model effectively predicts the time-dependent saturation of rectangular strips of Whatman filter no. 1 paper using the manufacturer’s data, published pore-size distribution measurements, and the fluid’s properties.

Baolian Su - One of the best experts on this subject based on the ideXlab platform.

  • hierarchically Porous Materials synthesis strategies and structure design
    Chemical Society Reviews, 2017
    Co-Authors: Xiaoyu Yang, Joanna Rooke, Baolian Su, Lihua Chen, Clément Sanchez, Yu Li
    Abstract:

    Owing to their immense potential in energy conversion and storage, catalysis, photocatalysis, adsorption, separation and life science applications, significant interest has been devoted to the design and synthesis of hierarchically Porous Materials. The hierarchy of Materials on porosity, structural, morphological, and component levels is key for high performance in all kinds of applications. Synthesis and applications of hierarchically structured Porous Materials have become a rapidly evolving field of current interest. A large series of synthesis methods have been developed. This review addresses recent advances made in studies of this topic. After identifying the advantages and problems of natural hierarchically Porous Materials, synthetic hierarchically Porous Materials are presented. The synthesis strategies used to prepare hierarchically Porous Materials are first introduced and the features of synthesis and the resulting structures are presented using a series of examples. These involve templating methods (surfactant templating, nanocasting, macroPorous polymer templating, colloidal crystal templating and bioinspired process, i.e. biotemplating), conventional techniques (supercritical fluids, emulsion, freeze-drying, breath figures, selective leaching, phase separation, zeolitization process, and replication) and basic methods (sol–gel controlling and post-treatment), as well as self-formation phenomenon of Porous hierarchy. A series of detailed examples are given to show methods for the synthesis of hierarchically Porous structures with various chemical compositions (dual porosities: micro–micropores, micro–mesopores, micro–macropores, meso–mesopores, meso–macropores, multiple porosities: micro–meso–macropores and meso–meso–macropores). We hope that this review will be helpful for those entering the field and also for those in the field who want quick access to helpful reference information about the synthesis of new hierarchically Porous Materials and methods to control their structure and morphology.

Zhiqiang Yang - One of the best experts on this subject based on the ideXlab platform.

  • a three scale homogenization algorithm for coupled conduction radiation problems in Porous Materials with multiple configurations
    International Journal of Heat and Mass Transfer, 2018
    Co-Authors: Zhiqiang Yang, Junzhi Cui, Zihao Yang, Yi Sun, Tianyu Guan
    Abstract:

    Abstract This work establishes a novel three-scale homogenization algorithm to predict heat transfer performance of Porous Materials with multiple periodic configurations. The heterogeneities of Porous structures are considered by periodic distributions of unit cells on the microscale and mesoscale. A new micro-meso-macro formula based on homogenization methods and multiscale asymptotic expansions is given at first. Two types of unit cell solutions in microscale and mesoscale are obtained by solving the distinct multiscale cell functions. Also, two kinds of homogenization coefficients are calculated by up-scaling procedure, and the homogenization equations are defined on global structure. Further, the temperature and heat flux fields are established as three-scale approximate solutions by assembling the various local cell solutions and homogenization solutions. Then, the associated finite element algorithm based on the three-scale homogenization methods is proposed in detail. Finally, some numerical examples are reported to validate the methods. They illustrate that the three-scale homogenization methods presented in this work are effective and accurate for calculating the heat transfer performance of the Porous Materials with multiple configurations.

  • multiscale analysis and computation for coupled conduction convection and radiation heat transfer problem in Porous Materials
    Applied Mathematics and Computation, 2018
    Co-Authors: Zhiqiang Yang, Ziqiang Wang, Zihao Yang, Yi Sun
    Abstract:

    Abstract This paper discusses the multiscale analysis and numerical algorithms for coupled conduction, convection and radiation heat transfer problem in periodic Porous Materials. First, the multiscale asymptotic expansion of the solution for the coupled problem is presented, and high-order correctors are constructed. Then, error estimates and their proofs will be given on some regularity hypothesis. Finally, the corresponding finite element algorithms based on multiscale method are introduced and some numerical results are given in detail. The numerical tests demonstrate that the developed method is feasible and valid for predicting the heat transfer performance of periodic Porous Materials, and support the approximate convergence results proposed in this paper.

  • thermo mechanical analysis of periodic Porous Materials with microscale heat transfer by multiscale asymptotic expansion method
    International Journal of Heat and Mass Transfer, 2016
    Co-Authors: Zhiqiang Yang, Song Zhou
    Abstract:

    Abstract A novel multiscale asymptotic method used to simulate thermo-mechanical analysis of periodic Porous Materials with microscale heat transfer is systematically studied. In these Materials, heat radiation and heat convection that account for the scale effect of unit cells have an important impact on the macroscopic temperature and stress fields, which is our particular interest in this study. The scale effect is thought to be the result of microscopic heat transfer, the amount of which depends on the microscale pore size of Porous Materials. The higher-order multiscale formulations for computing the dynamic thermo-mechanical coupling problem with the inertia term, coupling term, convection term and radiation term are given successively. Then, the corresponding numerical algorithm based on the finite element-difference method is brought forward in details. Finally, numerical examples are given to demonstrate the efficiency and validity of the proposed method. The results indicate the disadvantages of classical finite element method.

  • multiscale computation for transient heat conduction problem with radiation boundary condition in Porous Materials
    Finite Elements in Analysis and Design, 2015
    Co-Authors: Zhiqiang Yang, Jingran Ge
    Abstract:

    This paper reports a multiscale asymptotic analysis and computation for predicting heat transfer performance of periodic Porous Materials with radiation boundary condition. In these Porous Materials thermal radiation effect at micro-scale have an important impact on the macroscopic temperature field, which is our particular interest in this study. The multiscale asymptotic expansions for computing temperature field of the problem are constructed, and associated explicit convergence rates are obtained on some regularity hypothesis. Finally, the corresponding finite element algorithms based on the multiscale method are brought forward and some numerical results are given in details. The numerical tests indicate that the developed method is feasible and valid for predicting the heat transfer performance of periodic Porous Materials, and support the approximate convergence results proposed in this paper. A novel multiscale analysis and computation is proposed.Heat transfer problem of periodic Porous Materials with radiation boundary condition are considered.Error estimates of the multiscale approximate solution are derived on some regularity hypothesis.Some numerical results are given in details to validate the multiscale method.

  • second order two scale computations for conductive radiative heat transfer problem in periodic Porous Materials
    Chinese Physics B, 2014
    Co-Authors: Zhiqiang Yang, Junzhi Cui
    Abstract:

    In this paper, a kind of second-order two-scale (SOTS) computation is developed for conductive—radiative heat transfer problem in periodic Porous Materials. First of all, by the asymptotic expansion of the temperature field, the cell problem, homogenization problem, and second-order correctors are obtained successively. Then, the corresponding finite element algorithms are proposed. Finally, some numerical results are presented and compared with theoretical results. The numerical results of the proposed algorithm conform with those of the FE algorithm well, demonstrating the accuracy of the present method and its potential applications in thermal engineering of Porous Materials.

Seth M Cohen - One of the best experts on this subject based on the ideXlab platform.

Michael Mastalerz - One of the best experts on this subject based on the ideXlab platform.