ライブラリ登録: Guest

Tree Networks for Flows in Composite Porous Media

巻 2, 発行 1, 1999, pp. 1-17
DOI: 10.1615/JPorMedia.v2.i1.10
Get accessGet access

要約

This article reports a numerical study of the geometric minimization of the resistance to Darcy flow between a finite-size volume and one point. The volume is two dimensional and contains materials with several permeabilities. The optimization starts with the smallest volume subsystem, and proceeds toward larger subsystems (assemblies) until the given volume is covered. It is shown that at every scale the geometric shape of the subsystem can be optimized. This principle allows us to construct the volume-to-point flow path by using assemblies of previously optimized building blocks, hence the “constructal” name for the associated theory of shape and structure formation in natural flow systems. The optimized flow architecture is such that the regions of relatively high permeability form a tree network that is completely deterministic. Every feature of this architecture is the result of a single optimization principle: the geometric minimization of flow resistance subject to constraints.

によって引用された
  1. Bejan Adrian, Constructal tree-shaped paths for conduction and convection, International Journal of Energy Research, 27, 4, 2003. Crossref

  2. Bejan Adrian, From Heat Transfer Principles to Shape and Structure in Nature: Constructal Theory, Journal of Heat Transfer, 122, 3, 2000. Crossref

  3. Reis A. Heitor, Constructal Theory: From Engineering to Physics, and How Flow Systems Develop Shape and Structure, Applied Mechanics Reviews, 59, 5, 2006. Crossref

  4. Errera M.R., Frigo A.L., Segundo E.H.V., The emergence of the constructal element in tree-shaped flow organization, International Journal of Heat and Mass Transfer, 78, 2014. Crossref

  5. Lin Henry, Linking principles of soil formation and flow regimes, Journal of Hydrology, 393, 1-2, 2010. Crossref

  6. Feng Huijun, Chen Lingen, Xie Zhihui, Sun Fengrui, “Disc-point” heat and mass transfer constructal optimization for solid–gas reactors based on entropy generation minimization, Energy, 83, 2015. Crossref

  7. Chen Lingen, Feng Huijun, Xie Zhihui, Sun Fengrui, “Volume-point” mass transfer constructal optimization based on flow resistance minimization with cylindrical element, International Journal of Heat and Mass Transfer, 89, 2015. Crossref

  8. Feng Huijun, Chen Lingen, Xie Zhihui, Sun Fengrui, Constructal entransy dissipation rate minimization for solid–gas reactors with heat and mass transfer in a disc-shaped body, International Journal of Heat and Mass Transfer, 89, 2015. Crossref

  9. Feng Huijun, Chen Lingen, Xie Zhihui, Sun Fengrui, Constructal optimization of a disc-shaped body with cooling channels for specified power pumping, International Journal of Low-Carbon Technologies, 10, 3, 2015. Crossref

  10. Bejan Adrian, Errera Marcelo R., Convective trees of fluid channels for volumetric cooling, International Journal of Heat and Mass Transfer, 43, 17, 2000. Crossref

  11. Chen Lingen, Feng Huijun, Xie Zhihui, Sun Fengrui, “Disc-point” mass transfer Constructal optimizations with Darcy and Hagen–Poiseuille flows in porous media, Applied Mathematical Modelling, 38, 4, 2014. Crossref

  12. Feng Huijun, Chen Lingen, Xie Zhihui, Sun Fengrui, “Volume-Point” Mass Transfer Constructal Optimization Based on Triangular Element, Arabian Journal for Science and Engineering, 38, 2, 2013. Crossref

  13. Wildi-Tremblay Philippe, Gosselin Louis, Layered porous media architecture for maximal cooling, International Journal of Heat and Mass Transfer, 50, 3-4, 2007. Crossref

  14. Chen Lingen, Feng Huijun, Xie Zhihui, Sun Fengrui, Constructal optimization for leaf-like body based on maximization of heat transfer rate, International Communications in Heat and Mass Transfer, 71, 2016. Crossref

  15. Nield Donald A., Bejan Adrian, Forced Convection, in Convection in Porous Media, 2017. Crossref

  16. Chen Lingen, Feng Huijun, Xie Zhihui, Sun Fengrui, Progress of constructal theory in China over the past decade, International Journal of Heat and Mass Transfer, 130, 2019. Crossref

  17. Tan Hui, Wu Longwen, Wang Mingyang, Yang Zihao, Du Pingan, Heat transfer improvement in microchannel heat sink by topology design and optimization for high heat flux chip cooling, International Journal of Heat and Mass Transfer, 129, 2019. Crossref

  18. Chen Lingen, Xiao Qinghua, Feng Huijun, Constructal Optimizations for Heat and Mass Transfers Based on the Entransy Dissipation Extremum Principle, Performed at the Naval University of Engineering: A Review, Entropy, 20, 1, 2018. Crossref

  19. Errera M. R., Marin C. A., Drainage Basins Evolution with Non-erodible Regions, in Constructal Law and the Unifying Principle of Design, 2013. Crossref

近刊の記事

Effects of Momentum Slip and Convective Boundary Condition on a Forced Convection in a Channel Filled with Bidisperse Porous Medium (BDPM) Vanengmawia PC, Surender Ontela ON THERMAL CONVECTION IN ROTATING CASSON NANOFLUID PERMEATED WITH SUSPENDED PARTICLES IN A DARCY-BRINKMAN POROUS MEDIUM Pushap Sharma, Deepak Bains, G. C. Rana Effect of Microstructures on Mass Transfer inside a Hierarchically-structured Porous Catalyst Masood Moghaddam, Abbas Abbassi, Jafar Ghazanfarian Insight into the impact of melting heat transfer and MHD on stagnation point flow of tangent hyperbolic fluid over a porous rotating disk Priya Bartwal, Himanshu Upreti, Alok Kumar Pandey Numerical Simulation of 3D Darcy-Forchheimer Hybrid Nanofluid Flow with Heat Source/Sink and Partial Slip Effect across a Spinning Disc Bilal Ali, Sidra Jubair, Md Irfanul Haque Siddiqui Fractal model of solid-liquid two-phase thermal transport characteristics in the rough fracture network shanshan yang, Qiong Sheng, Mingqing Zou, Mengying Wang, Ruike Cui, Shuaiyin Chen, Qian Zheng Application of Artificial Neural Network for Modeling of Motile Microorganism-Enhanced MHD Tangent Hyperbolic Nanofluid across a vertical Slender Stretching Surface Bilal Ali, Shengjun Liu, Hongjuan Liu Estimating the Spreading Rates of Hazardous Materials on Unmodified Cellulose Filter Paper: Implications on Risk Assessment of Transporting Hazardous Materials Heshani Manaweera Wickramage, Pan Lu, Peter Oduor, Jianbang Du ELASTIC INTERACTIONS BETWEEN EQUILIBRIUM PORES/HOLES IN POROUS MEDIA UNDER REMOTE STRESS Kostas Davanas Gravity modulation and its impact on weakly nonlinear bio-thermal convection in a porous layer under rotation: a Ginzburg-Landau model approach Michael Kopp, Vladimir Yanovsky Pore structure and permeability behavior of porous media under in-situ stress and pore pressure: Discrete element method simulation on digital core Jun Yao, Chunqi Wang, Xiaoyu Wang, Zhaoqin Huang, Fugui Liu, Quan Xu, Yongfei Yang Influence of Lorentz forces on forced convection of Nanofluid in a porous lid driven enclosure Yi Man, Mostafa Barzegar Gerdroodbary SUTTERBY NANOFLUID FLOW WITH MICROORGANISMS AROUND A CURVED EXPANDING SURFACE THROUGH A POROUS MEDIUM: THERMAL DIFFUSION AND DIFFUSION THERMO IMPACTS galal Moatimid, Mona Mohamed, Khaled Elagamy CHARACTERISTICS OF FLOW REGIMES IN SPIRAL PACKED BEDS WITH SPHERES Mustafa Yasin Gökaslan, Mustafa Özdemir, Lütfullah Kuddusi Numerical study of the influence of magnetic field and throughflow on the onset of thermo-bio-convection in a Forchheimer‑extended Darcy-Brinkman porous nanofluid layer containing gyrotactic microorganisms Arpan Garg, Y.D. Sharma, Subit K. Jain, Sanjalee Maheshwari A nanofluid couple stress flow due to porous stretching and shrinking sheet with heat transfer A. B. Vishalakshi, U.S. Mahabaleshwar, V. Anitha, Dia Zeidan ROTATING WAVY CYLINDER ON BIOCONVECTION FLOW OF NANOENCAPSULATED PHASE CHANGE MATERIALS IN A FINNED CIRCULAR CYLINDER Noura Alsedais, Sang-Wook Lee, Abdelraheem Aly Porosity Impacts on MHD Casson Fluid past a Shrinking Cylinder with Suction Annuri Shobha, Murugan Mageswari, Aisha M. Alqahtani, Asokan Arulmozhi, Manyala Gangadhar Rao, Sudar Mozhi K, Ilyas Khan CREEPING FLOW OF COUPLE STRESS FLUID OVER A SPHERICAL FIELD ON A SATURATED BIPOROUS MEDIUM Shyamala Sakthivel , Pankaj Shukla, Selvi Ramasamy
Begell Digital Portal Begellデジタルライブラリー 電子書籍 ジャーナル 参考文献と会報 リサーチ集 価格及び購読のポリシー Begell House 連絡先 Language English 中文 Русский Português German French Spain