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首页> 外文期刊>International Journal of Heat and Mass Transfer >Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms
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Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms

机译：通过单域公式化和积分变换在任意形状通道中的流体流动和共轭传热

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摘要

The present work advances a recently introduced approach based on combining the Generalized Integral Transform Technique (GITT) and a single domain reformulation strategy, aimed at providing hybrid numerical-analytical solutions to convection-diffusion problems in complex physical configurations and irregular geometries. The methodology has been previously considered in the analysis of conjugated conduction-convection heat transfer problems, simultaneously modeling the heat transfer phenomena at both the fluid streams and the channels walls, by making use of coefficients represented as space variable functions with abrupt transitions occurring at the fluid-wall interfaces. The present work is aimed at extending this methodology to deal with both fluid flow and conjugated heat transfer within arbitrarily shaped channels and complex multichannel configurations, so that the solution of a cumbersome system of coupled partial differential equations defined for each individual sub-domain of the problem is avoided, with the proposition of the single-domain formulation. The reformulated problem is integral transformed through the adoption of eigenvalue problems containing the space variable coefficients, which provide the basis of the eigenfunction expansions and are responsible for recovering the transitional behavior among the different regions in the original formulation. For demonstration purposes, an application is first considered consisting of a microchannel with an irregular cross-section shape, representing a typical channel micro-fabricated through laser ablation, in which heat and fluid flow are investigated, taking into account the conjugation with the polymeric substrate. Then, a complex configuration consisting of multiple irregularly shaped channels is more closely analyzed, in order to illustrate the flexibility and robustness of the advanced hybrid approach. In both cases, the convergence behavior of the proposed expansions is presented and critical comparisons against purely numerical approaches are provided.
机译：本工作提出了一种基于广义积分变换技术（GITT）和单域重构策略相结合的最新方法，旨在为复杂物理配置和不规则几何形状中的对流扩散问题提供混合数值分析解决方案。该方法先前已在共轭传导-对流传热问题的分析中得到了考虑，同时通过利用表示为空间变量函数的系数同时在流体流和通道壁处发生传热的同时对流体流和通道壁的传热现象进行建模。流体壁接口。当前的工作旨在扩展这种方法，以处理任意形状的通道和复杂的多通道配置内的流体流动和共轭传热，从而为为每个子域定义的耦合偏微分方程的繁琐系统求解。通过单域配方的提议避免了问题。通过采用包含空间变量系数的特征值问题，可以对重新构造的问题进行整体转换，该特征值问题为特征函数展开提供了基础，并负责恢复原始公式中不同区域之间的过渡行为。出于演示目的，首先考虑一种应用，该应用由具有不规则横截面形状的微通道组成，代表通过激光烧蚀微制造的典型通道，其中考虑了与聚合物基材的共轭作用，研究了热量和流体流动。然后，将更仔细地分析由多个不规则形状的通道组成的复杂配置，以说明高级混合方法的灵活性和鲁棒性。在这两种情况下，均提出了拟议扩展的收敛性，并提供了与纯数值方法的严格比较。

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  • 作者

    Diego C. Knupp; Renato M. Cotta; Carolina P. Naveira-Cotta;

  • 作者单位

    Institute Politecnico, Universidade do Estado do Rio de Janeiro, IPRJ/UERJ, Patricia Oliva Soares Laboratory of Experimentation and Numerical Simulation in Heat and Mass Transfer, LEMA, Dept. of Mechanical Engineering and Energy, Nova Friburgo, RJ CEP 28625-570, Brazil;

    Laboratory of Nano- and Microfluidics and Microsystems, LabMEMS, Mechanical Engineering Dept. (PEM) & Nanoengineering Dept. (PENT) - POLI&COPPE, UFRJ, Universidade Federal do Rio de Janeiro, Cidade Universitaria, Cx. Postal 68503, Rio de Janeiro, RJ CEP 21945-970, Brazil,Laboratory of Transmission and Technology of Heat, LTTC, Mechanical Engineering Dept. (PEM) - POLI&COPPE, UFRJ, Universidade Federal do Rio de Janeiro, Cidade Universitaria, Cx. Postal 68503, Rio de Janeiro, RJ CEP 21945-970, Brazil;

    Laboratory of Nano- and Microfluidics and Microsystems, LabMEMS, Mechanical Engineering Dept. (PEM) & Nanoengineering Dept. (PENT) - POLI&COPPE, UFRJ, Universidade Federal do Rio de Janeiro, Cidade Universitaria, Cx. Postal 68503, Rio de Janeiro, RJ CEP 21945-970, Brazil;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Internal flow; Single domain formulation; Hybrid methods; Integral transforms; Conjugated heat transfer; Microchannels; Micro-heat exchangers;

    机译：内部流;单域配方;混合方法;积分变换;共轭传热;微通道;微型热交换器;

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