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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 63, 2013 - Issue 6
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Original Articles

Topology Optimization of Heat and Mass Transfer Problems: Laminar Flow

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Pages 508-539 | Received 15 Nov 2012, Accepted 12 Jan 2013, Published online: 02 May 2013

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Sanjeet Patra, Parthiv Chandra K, Wei Li, Jianhui Mou, Liang Gao, Quan Zhou & A. Garg. (2023) Performance study of cooling plates with single and double outlets for lithium-ion battery thermal management system based on topology optimization. International Journal of Green Energy 0:0, pages 1-19.
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Yi Ye, Xueying Li, Jing Ren & Bengt Sundén. (2023) Derivation of a continuous adjoint topology optimization method applied on heat transfer for incompressible flow. Numerical Heat Transfer, Part A: Applications 83:10, pages 1067-1079.
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Jonas Lundgren, Jan-Erik Lundgren, Hossein Nadali Najafabadi & Carl-Johan Thore. (2023) Flow–heat topology optimization of internally cooled high temperature applications using a voxelization approach for domain initialization. Engineering Optimization 0:0, pages 1-26.
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Xun Liu, Li Chen, Ming Peng, Wen-Tao Ji & Wen-Quan Tao. (2021) Topology optimization of the manifold microchannels with triple-objective functions. Numerical Heat Transfer, Part B: Fundamentals 80:5-6, pages 89-114.
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Akihiro Takezawa, Xiaopeng Zhang, Takuo Tanaka & Mitsuru Kitamura. (2020) Topology optimisation of a porous unit cell in a fluid flow considering Forchheimer drag. International Journal of Computational Fluid Dynamics 34:1, pages 50-60.
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Rony Tawk, Boutros Ghannam & Maroun Nemer. (2019) Topology optimization of heat and mass transfer problems in two fluids—one solid domains. Numerical Heat Transfer, Part B: Fundamentals 76:3, pages 130-151.
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Pratanu Roy, N.K. Anand & Diego Donzis. (2015) A Parallel Multigrid Finite-Volume Solver on a Collocated Grid for Incompressible Navier-Stokes Equations. Numerical Heat Transfer, Part B: Fundamentals 67:5, pages 376-409.
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Articles from other publishers (60)

E. Gallorini, J. Hèlie & F. Piscaglia. (2023) A multi region adjoint-based solver for topology optimization in conjugate heat transfer problems. Computers & Fluids 266, pages 106042.
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Zhijian Duan, Gongnan Xie, Bo Yu & Puhang Jin. (2023) Multi-objective topology optimization and thermal performance of liquid-cooled microchannel heat sinks with pin fins. Case Studies in Thermal Engineering 49, pages 103178.
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Sihao Qian, Shunxi Lou, Wei Wang & Minghao Yu. (2023) Multidisciplinary topology optimization design of cold plate for active phased antenna array. Structural and Multidisciplinary Optimization 66:7.
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Emanuele Gallorini, Jerome Hèlie & Federico Piscaglia. (2023) An adjoint‐based solver with adaptive mesh refinement for efficient design of coupled thermal‐fluid systems. International Journal for Numerical Methods in Fluids 95:7, pages 1090-1116.
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Justin Weber, E David Huckaby & Douglas Straub. (2023) Comparison of Shape Optimization Methods for Heat Exchanger Fins Using Computational Fluid Dynamics. International Journal of Heat and Mass Transfer 207, pages 124003.
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Chadwick D. Sevart & Theodore L. Bergman. (2023) Comparison of Radiation-Conduction Transfer Involving Complex Solid Shapes Determined by Topological Optimization and a Heuristic Technique. ASME Journal of Heat and Mass Transfer 145:5.
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Abdesslam Boulkhemair, Abdelkrim Chakib & Azeddine Sadik. (2022) On numerical study of constrained coupled shape optimization problems based on a new shape derivative method. Numerical Methods for Partial Differential Equations 39:3, pages 2018-2059.
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Xi Zhao, Wei Sun, Sheng Lu, Tianyu Zhou, Taixiong Zheng & Yang Zhao. (2023) Feature-based topology optimization for channel cooling structure. Structural and Multidisciplinary Optimization 66:3.
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Ji‐Wang Luo, Li Chen, An He & WenQuan Tao. (2022) Topology optimization of convective heat transfer by the lattice Boltzmann method. International Journal for Numerical Methods in Fluids 95:3, pages 421-452.
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C.Q. Wu, C. Yang, Q. Xiao, H.B. Ke & H.J. Xu. (2022) Topology optimization of porous solid structures for heat transfer and flow channels in reactors with fluid-solid reaction coupling. International Journal of Thermal Sciences 181, pages 107771.
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Chadwick D. Sevart & Theodore L. Bergman. (2022) A Dual Solid Method for Topological Optimization of a Conducting Solid Cooled by Gas Conduction and Surface Radiation. Journal of Heat Transfer 144:10.
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Ahmad Fawaz, Yuchao Hua, Steven Le Corre, Yilin Fan & Lingai Luo. (2022) Topology optimization of heat exchangers: A review. Energy 252, pages 124053.
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Tiantian Zhang, Yaling Fu, Xiaoqing Yang & Jie Zhou. (2022) A pseudo 3D cooling heat sink model designed by multi-objective topology optimization method. Meccanica 57:8, pages 2101-2116.
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Anqi Zou, Rui Chuan, Fang Qian, Wenyao Zhang, Qiuwang Wang & Cunlu Zhao. (2022) Topology optimization for a water-cooled heat sink in micro-electronics based on Pareto frontier. Applied Thermal Engineering 207, pages 118128.
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Daniel Yago, Juan Cante, Oriol Lloberas-Valls & Javier Oliver. (2021) Topology Optimization Methods for 3D Structural Problems: A Comparative Study. Archives of Computational Methods in Engineering 29:3, pages 1525-1567.
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Ali Ghasemi & Ali Elham. (2022) Efficient multi-stage aerodynamic topology optimization using an operator-based analytical differentiation. Structural and Multidisciplinary Optimization 65:4.
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Sihao Qian, Shunxi Lou, Chaoliu Ge, Wei Wang, Xiwei Tian & Yanzhao Cai. (2022) The influence of temperature dependent fluid properties on topology optimization of conjugate heat transfer. International Journal of Thermal Sciences 173, pages 107424.
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Jiaqi Zhao, Ming Zhang, Yu Zhu, Rong Cheng & Leijie Wang. (2021) Topology optimization of turbulent forced convective heat sinks using a multi-layer thermofluid model. Structural and Multidisciplinary Optimization 64:6, pages 3835-3859.
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Xiaobao Mo, Hui Zhi, Yizhi Xiao, Haiyu Hua & Liang He. (2021) Topology optimization of cooling plates for battery thermal management. International Journal of Heat and Mass Transfer 178, pages 121612.
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Ali Ghasemi & Ali Elham. (2021) Multi-objective topology optimization of pin-fin heat exchangers using spectral and finite-element methods. Structural and Multidisciplinary Optimization 64:4, pages 2075-2095.
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Reza Pejman, Ole Sigmund & Ahmad Raeisi Najafi. (2021) Topology optimization of microvascular composites for active-cooling applications using a geometrical reduced-order model. Structural and Multidisciplinary Optimization 64:2, pages 563-583.
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Jiaqi Zhao, Ming Zhang, Yu Zhu, Rong Cheng & Leijie Wang. (2021) Topology optimization of planar cooling channels using a three-layer thermofluid model in fully developed laminar flow problems. Structural and Multidisciplinary Optimization 63:6, pages 2789-2809.
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Xin Dong & Xiaomin Liu. (2021) Multi-objective optimization of heat transfer in microchannel for non-Newtonian fluid. Chemical Engineering Journal 412, pages 128594.
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F. Feppon, G. Allaire, C. Dapogny & P. Jolivet. (2021) Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers. Computer Methods in Applied Mechanics and Engineering 376, pages 113638.
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Jiaqi Zhao, Ming Zhang, Yu Zhu, Rong Cheng, Xin Li & Leijie Wang. (2020) Concurrent optimization of the internal flow channel, inlets, and outlets in forced convection heat sinks. Structural and Multidisciplinary Optimization 63:1, pages 121-136.
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Paulo Francisco, Luis Faria & Ricardo Simões. (2020) Multi-objective and multi-load topology optimization and experimental validation of homogenized coupled fluid flow and heat transfer and structural stiffness. Structural and Multidisciplinary Optimization 62:5, pages 2571-2598.
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F. Feppon, G. Allaire, C. Dapogny & P. Jolivet. (2020) Topology optimization of thermal fluid–structure systems using body-fitted meshes and parallel computing. Journal of Computational Physics 417, pages 109574.
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Casper Schousboe Andreasen. (2020) A framework for topology optimization of inertial microfluidic particle manipulators. Structural and Multidisciplinary Optimization 61:6, pages 2481-2499.
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Florian Dugast, Yann Favennec & Christophe Josset. (2020) Reactive fluid flow topology optimization with the multi-relaxation time lattice Boltzmann method and a level-set function. Journal of Computational Physics 409, pages 109252.
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Joe Alexandersen & Casper Schousboe Andreasen. (2020) A Review of Topology Optimisation for Fluid-Based Problems. Fluids 5:1, pages 29.
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Nicolò Pollini, Ole Sigmund, Casper Schousboe Andreasen & Joe Alexandersen. (2020) A “poor man’s” approach for high-resolution three-dimensional topology design for natural convection problems. Advances in Engineering Software 140, pages 102736.
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DingHua Hu, ZhiWei Zhang & Qiang Li. (2019) Numerical study on flow and heat transfer characteristics of microchannel designed using topological optimizations method. Science China Technological Sciences 63:1, pages 105-115.
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Akihiro Takezawa, Xiaopeng Zhang & Mitsuru Kitamura. (2019) Optimization of an additively manufactured functionally graded lattice structure with liquid cooling considering structural performances. International Journal of Heat and Mass Transfer 143, pages 118564.
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Delphine Ramalingom, Pierre-Henri Cocquet, Rezah Maleck & Alain Bastide. (2019) A multi-objective optimization problem in mixed and natural convection for a vertical channel asymmetrically heated. Structural and Multidisciplinary Optimization 60:5, pages 2001-2020.
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Heinrich Badenhorst. (2019) A comparison of topology optimization and genetic algorithms for the optimization of thermal energy storage composites. International Journal of Numerical Methods for Heat & Fluid Flow 29:9, pages 3454-3471.
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F. Feppon, G. Allaire, F. Bordeu, J. Cortial & C. Dapogny. (2019) Shape optimization of a coupled thermal fluid–structure problem in a level set mesh evolution framework. SeMA Journal 76:3, pages 413-458.
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Janus Asmussen, Joe Alexandersen, Ole Sigmund & Casper Schousboe Andreasen. (2019) A “poor man’s” approach to topology optimization of natural convection problems. Structural and Multidisciplinary Optimization 59:4, pages 1105-1124.
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M. Pietropaoli, F. Montomoli & A. Gaymann. (2018) Three-dimensional fluid topology optimization for heat transfer. Structural and Multidisciplinary Optimization 59:3, pages 801-812.
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V. Subramaniam, T. Dbouk & J.-L. Harion. (2019) Topology optimization of conjugate heat transfer systems: A competition between heat transfer enhancement and pressure drop reduction. International Journal of Heat and Fluid Flow 75, pages 165-184.
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S.A. Lurie, L.N. Rabinskiy & Y.O. Solyaev. (2019) Topology optimization of the wick geometry in a flat plate heat pipe. International Journal of Heat and Mass Transfer 128, pages 239-247.
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Tian Lei, Joe Alexandersen, Boyan S. Lazarov, Fengwen Wang, Jan H.K. Haertel, Salvatore De Angelis, Simone Sanna, Ole Sigmund & Kurt Engelbrecht. (2018) Investment casting and experimental testing of heat sinks designed by topology optimization. International Journal of Heat and Mass Transfer 127, pages 396-412.
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Yi Lv & Sheng Liu. (2018) Topology optimization and heat dissipation performance analysis of a micro-channel heat sink. Meccanica 53:15, pages 3693-3708.
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Florian Dugast, Yann Favennec, Christophe Josset, Yilin Fan & Lingai Luo. (2018) Topology optimization of thermal fluid flows with an adjoint Lattice Boltzmann Method. Journal of Computational Physics 365, pages 376-404.
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Sihao Qian, Wei Wang, Chaoliu Ge, Shunxi Lou, Enming Miao & Baofu Tang. (2017) Topology optimization of fluid flow channel in cold plate for active phased array antenna. Structural and Multidisciplinary Optimization 57:6, pages 2223-2232.
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Delphine Ramalingom, Pierre-Henri Cocquet & Alain Bastide. (2018) A new interpolation technique to deal with fluid-porous media interfaces for topology optimization of heat transfer. Computers & Fluids 168, pages 144-158.
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Chao Shen, Liang Hou, Enlai Zhang & Jiahe Lin. (2017) Topology optimization of three-phase interpolation models in Darcy-stokes flow. Structural and Multidisciplinary Optimization 57:4, pages 1663-1677.
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Ajay Vadakkepatt, Sanjay R. Mathur & Jayathi Y. Murthy. (2018) Efficient automatic discrete adjoint sensitivity computation for topology optimization – heat conduction applications. International Journal of Numerical Methods for Heat & Fluid Flow 28:2, pages 439-471.
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Caelan Lapointe, Jason D. Christopher, Nicholas T. Wimer, Torrey R. Hayden, Gregory B. Rieker & Peter E. Hamlington. (2017) Optimization for Internal Turbulent Compressible Flows Using Adjoints. Optimization for Internal Turbulent Compressible Flows Using Adjoints.
Jan H.K. Haertel & Gregory F. Nellis. (2017) A fully developed flow thermofluid model for topology optimization of 3D-printed air-cooled heat exchangers. Applied Thermal Engineering 119, pages 10-24.
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Mark Christian E. Manuel & Po Ting Lin. 2017. Heat Exchangers - Design, Experiment and Simulation. Heat Exchangers - Design, Experiment and Simulation.
Casper Schousboe Andreasen. (2016) Topology optimization of inertia driven dosing units. Structural and Multidisciplinary Optimization 55:4, pages 1301-1309.
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T. Dbouk. (2017) A review about the engineering design of optimal heat transfer systems using topology optimization. Applied Thermal Engineering 112, pages 841-854.
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Joe Alexandersen, Ole Sigmund & Niels Aage. (2016) Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection. International Journal of Heat and Mass Transfer 100, pages 876-891.
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Xiaoping Qian & Ercan M. Dede. (2016) Topology optimization of a coupled thermal-fluid system under a tangential thermal gradient constraint. Structural and Multidisciplinary Optimization 54:3, pages 531-551.
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S. Soprani, J.H.K. Haertel, B.S. Lazarov, O. Sigmund & K. Engelbrecht. (2016) A design approach for integrating thermoelectric devices using topology optimization. Applied Energy 176, pages 49-64.
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Grégoire Nadin & Yannick Privat. (2016) An extremal eigenvalue problem arising in heat conduction. Journal de Mathématiques Pures et Appliquées 105:6, pages 845-872.
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Peter Coffin & Kurt Maute. (2015) A level-set method for steady-state and transient natural convection problems. Structural and Multidisciplinary Optimization 53:5, pages 1047-1067.
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Peter Coffin & Kurt Maute. (2015) Level set topology optimization of cooling and heating devices using a simplified convection model. Structural and Multidisciplinary Optimization 53:5, pages 985-1003.
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Joe Alexandersen, Niels Aage, Casper Schousboe Andreasen & Ole Sigmund. (2014) Topology optimisation for natural convection problems. International Journal for Numerical Methods in Fluids 76:10, pages 699-721.
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Gilles Marck, Gr?goire Nadin & Yannick Privat. (2014) What Is the Optimal Shape of a Fin for One-Dimensional Heat Conduction?. SIAM Journal on Applied Mathematics 74:4, pages 1194-1218.
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