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Design of cellular structures for optimum efficiency of heat dissipation

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Abstract

Metal cellular material is a new material attractive for its light weight and potential multifunctionality. In the present paper, we study cylindrical structures made of linear metal cellular material. The outer surface of the cylindrical structure is subjected to thermal boundary condition, and cooling fluid is forced through the cylinder to remove heat through the inner cell walls. Optimum design aims at maximization of heat dissipation efficiency under prescribed flow pressure. Two classes of design variables, relative density, and local aperture distribution of cellular material are to be determined by optimization under given total material volume constraints. Although similar to the structural topology optimization concept of material distribution, our formulation results in a structure with realistic cellular material of finite-sized aperture. Numerical results for different cross-sectional shapes and thermal boundary conditions are presented. Interestingly, our present formulation leads to optimum designs for cellular structures that mimic natural biomaterials. We discuss in general the guideline for cellular structure design to maximize heat dissipation efficiency based on insights from these optimization results.

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References

  • AsakoY, Nakamura H, Faghri M (1988) Developing laminar flow and heat transfer in the entrance region of regular polygonal ducts. Int J Heat Mass Transfer 31:2590–2593

    Google Scholar 

  • Banhart J (2001) Manufacture, characterisation and application of cellular metals and metal foams. Prog Mater Sci 46:559–632

    Article  Google Scholar 

  • Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Optim 1:193–202

    Google Scholar 

  • Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using homogenization method. Comp Meth Appl Mech Eng 71:197–224

    Google Scholar 

  • Chellappa S, Diaz AR, Bendsøe MP (2004) Layout optimization of structures with finite-sized features using multiresolution analysis. Struct Multidiscipl Optim 26:77–91

    Google Scholar 

  • Eschenauer HA, Olhoff N (2001) Topology optimization of continuum structures. Appl Mech Rev 54:331–390

    Article  Google Scholar 

  • Evans AG (2001) Lightweight materials and structures. MRS Bull:790–797

    Google Scholar 

  • Evans AG, Hutchinson JW, Ashby MF (1999) Multifunctionality of cellular metal systems. Prog Mater Sci 43:171–221

    Google Scholar 

  • Gibson LJ, Ashby MF (1997) Cellular solids: structure and properties, 2nd edn. Cambridge University Press, Cambridge

    Google Scholar 

  • Gu S, Lu TJ, Evans AG (2001) On the design of two-dimensional cellular metals for combined heat dissipation and structural load capacity. Int J Heat Mass Transfer 44:2163–2175

    Article  Google Scholar 

  • Hayes AM, Wang A, Dempsey BM, McDowell DL (2004) Mechanics of linear cellular alloys. Mech Mater 36:691–713

    Article  Google Scholar 

  • Lu TJ (1999) Heat transfer efficiency of metal honeycombs. Int J Heat Mass Transfer 42:2031–2040

    MATH  Google Scholar 

  • Lu TJ, Chen C (1999) Thermal transport and fire retardance properties of cellular aluminium alloys. Acta Mater 47:1469–1485

    Google Scholar 

  • Lu TJ, Stone HA, Ashby MF (1998) Heat transfer in open-cell metal foams. Acta Mater 46:3619–3635

    Google Scholar 

  • National Physical Laboratory (2000) Review of industrial survey on metallic foams. http://www.npl.co.uk/npl/cmmt/metal_foams/survey_results.html

  • Olhoff N (1996) On optimum design of structure and materials. Meccanica 31:143–161

    Article  MATH  MathSciNet  Google Scholar 

  • Rodrigues H, Guedes JM, Bendsøe MP (2002) Hierarchical optimization of material and structure. Struct Multidiscipl Optim 24:1–10

    Google Scholar 

  • Sigmund O (1995) Design of material structures using topology optimization. In: Olhoff N, Rozvany GIN (eds) WCSMO-1: First world congress of structure and multidisciplinary optimization. Pergamon, Oxford, UK

    Google Scholar 

  • Sigmund O, Torquato S (1997) Design of materials with extreme thermal expansion using a three-phase topology optimization method. J Mech Phys Solids 45:1037–1067

    MathSciNet  Google Scholar 

Download references

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipments, Dalian University of Technology, Dalian, 116023, PR China

    Bo Wang & GengDong Cheng

Authors
  1. Bo Wang
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  2. GengDong Cheng
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Correspondence to Bo Wang.

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Wang, B., Cheng, G. Design of cellular structures for optimum efficiency of heat dissipation. Struct Multidisc Optim 30, 447–458 (2005). https://doi.org/10.1007/s00158-005-0542-0

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  • DOI: https://doi.org/10.1007/s00158-005-0542-0

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