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2018 | OriginalPaper | Buchkapitel

6. Tree-Shaped Cavities

verfasst von : António F. Miguel, Luiz A. O. Rocha

Erschienen in: Tree-Shaped Fluid Flow and Heat Transfer

Verlag: Springer International Publishing

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Abstract

This chapter illustrates how to discover the shape of open cavities that intrude into a solid conducting wall. The cavity can also be seen as a “negative fin” or “inverted fin,” because its shape would be generated if a fin were to be inserted into the body and its volume removed from the solid body. Open cavities can also be understood as the region between adjacent fins.

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Literatur
Zurück zum Zitat Almogbel M, Bejan A (2000) Cylindrical trees of pin fin. Int J Heat Mass Transf 43:4285–4297CrossRef Almogbel M, Bejan A (2000) Cylindrical trees of pin fin. Int J Heat Mass Transf 43:4285–4297CrossRef
Zurück zum Zitat Biserni C, Rocha LAO, Bejan A (2004) Inverted fins: geometric optimization of the intrusion into a conducting wall. Int J Heat Mass Trans 47:2577–2586CrossRef Biserni C, Rocha LAO, Bejan A (2004) Inverted fins: geometric optimization of the intrusion into a conducting wall. Int J Heat Mass Trans 47:2577–2586CrossRef
Zurück zum Zitat Biserni C, Rocha LAO, Stanescu G et al (2007) Constructal H-shaped cavities according to Bejan’s theory. Int J Heat Mass Transf 50:2132–2138CrossRef Biserni C, Rocha LAO, Stanescu G et al (2007) Constructal H-shaped cavities according to Bejan’s theory. Int J Heat Mass Transf 50:2132–2138CrossRef
Zurück zum Zitat Chen L, Xie Z, Sun F (2011) Multiobjective constructal optimization of an insulating wall combining heat flow, strength and weight. Int J Therm Sci 50(9):1782–1789CrossRef Chen L, Xie Z, Sun F (2011) Multiobjective constructal optimization of an insulating wall combining heat flow, strength and weight. Int J Therm Sci 50(9):1782–1789CrossRef
Zurück zum Zitat Lorenzini G, Rocha LAO (2006) Constructal design of Y-shaped assembly of fins. Int J Heat Mass Transf 49:4552–4557CrossRef Lorenzini G, Rocha LAO (2006) Constructal design of Y-shaped assembly of fins. Int J Heat Mass Transf 49:4552–4557CrossRef
Zurück zum Zitat Lorenzini G, Corrêa RL, dos Santos ED, Rocha LAO (2011a) Constructal design of complex assembly of fins. ASME J Heat Transf 133:081902CrossRef Lorenzini G, Corrêa RL, dos Santos ED, Rocha LAO (2011a) Constructal design of complex assembly of fins. ASME J Heat Transf 133:081902CrossRef
Zurück zum Zitat Lorenzini G, Biserni C, Isoldi LA, Dos Santos ED, Rocha LAO (2011b) Constructal design applied to the geometric optimization of Y-shaped cavities embedded in a conducting medium. J Electron Packag 133(4):041008 041008CrossRef Lorenzini G, Biserni C, Isoldi LA, Dos Santos ED, Rocha LAO (2011b) Constructal design applied to the geometric optimization of Y-shaped cavities embedded in a conducting medium. J Electron Packag 133(4):041008 041008CrossRef
Zurück zum Zitat Lorenzini G, Biserni C, Garcia FL, Rocha LAO (2012a) Geometric optimization of a convective T-shaped cavity on the basis of constructal theory. Int J Heat Mass Transf 55:6951–6958CrossRef Lorenzini G, Biserni C, Garcia FL, Rocha LAO (2012a) Geometric optimization of a convective T-shaped cavity on the basis of constructal theory. Int J Heat Mass Transf 55:6951–6958CrossRef
Zurück zum Zitat Lorenzini G, Garcia FL, Santos ED, Biserni C, Rocha LAO (2012b) Constructal design applied to the optimization of complex geometries: T-Y shaped cavities with two additional lateral intrusions cooled by convection. Int J Heat Mass Transf 55:1505–1512CrossRef Lorenzini G, Garcia FL, Santos ED, Biserni C, Rocha LAO (2012b) Constructal design applied to the optimization of complex geometries: T-Y shaped cavities with two additional lateral intrusions cooled by convection. Int J Heat Mass Transf 55:1505–1512CrossRef
Zurück zum Zitat Lorenzini G, Biserni C, Link FB, Isoldi LA, Dos Santos ED, Rocha LAO (2013) Constructal design of T-shaped cavity for several convective fluxes imposed at the cavity surfaces. J Eng Thermophys 22(4):309–321CrossRef Lorenzini G, Biserni C, Link FB, Isoldi LA, Dos Santos ED, Rocha LAO (2013) Constructal design of T-shaped cavity for several convective fluxes imposed at the cavity surfaces. J Eng Thermophys 22(4):309–321CrossRef
Zurück zum Zitat Lorenzini G, Biserni C, Link FB, Dos Santos ED, Isoldi LA, Rocha LAO (2014) Constructal design of isothermal X-shaped cavities. Thermal Sci 18(2):249–356 Lorenzini G, Biserni C, Link FB, Dos Santos ED, Isoldi LA, Rocha LAO (2014) Constructal design of isothermal X-shaped cavities. Thermal Sci 18(2):249–356
Zurück zum Zitat Rocha LAO, Lorenzini G, Biserni C, Cho Y (2010) Constructal design of a cavity cooled by convection. Int J Design Nat Ecodyn 5:212–220CrossRef Rocha LAO, Lorenzini G, Biserni C, Cho Y (2010) Constructal design of a cavity cooled by convection. Int J Design Nat Ecodyn 5:212–220CrossRef
Zurück zum Zitat Wei S, Chen L, Sun F (2009) The volume-point constructal optimization for discrete variable cross-section conducting path. Appl Energy 86(7–8):1111–1118CrossRef Wei S, Chen L, Sun F (2009) The volume-point constructal optimization for discrete variable cross-section conducting path. Appl Energy 86(7–8):1111–1118CrossRef
Zurück zum Zitat Xiao Q, Chen L, Sun F (2011) Constructal optimization for ‘‘disc-to-point’’ heat conduction without the premise of optimized last-order construct. Int J Therm Sci 50(6):1031–1036CrossRef Xiao Q, Chen L, Sun F (2011) Constructal optimization for ‘‘disc-to-point’’ heat conduction without the premise of optimized last-order construct. Int J Therm Sci 50(6):1031–1036CrossRef
Zurück zum Zitat Xie Z, Chen L, Sun F (2010a) Geometry optimization of T-shaped cavities according to constructal theory. Math Comput Model 52(9–10):1538–1546CrossRef Xie Z, Chen L, Sun F (2010a) Geometry optimization of T-shaped cavities according to constructal theory. Math Comput Model 52(9–10):1538–1546CrossRef
Zurück zum Zitat Xie Z, Chen L, Sun F (2010b) Constructal optimization of twice level Y-shaped assemblies of fins by taking maximum thermal resistance minimization as objective. Sci Chin Technol Sci 53(10):2756–2764CrossRef Xie Z, Chen L, Sun F (2010b) Constructal optimization of twice level Y-shaped assemblies of fins by taking maximum thermal resistance minimization as objective. Sci Chin Technol Sci 53(10):2756–2764CrossRef
Metadaten
Titel
Tree-Shaped Cavities
verfasst von
António F. Miguel
Luiz A. O. Rocha
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-73260-2_6

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