Geometric optimization of a convective T-shaped cavity on the basis of constructal theory

Lorenzini, Giulio; Biserni, Cesare; Garcia, Ferran; Rocha, Luíz Alberto Oliveira

doi:10.1016/j.ijheatmasstransfer.2012.07.009

Cited by 33 publications

(8 citation statements)

References 22 publications

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“…Several works show the great interest that many researchers are giving to the Constructal Theory and how it is being applied in problems of optimization of the shape of flow systems that generate geometries and structures. Works such as Biserni et al (2007), Gonzales et al (2015), Link et al (2013), , Lorenzini et al (2012), , Lorenzini et al (2011) and Lorenzini and Rocha (2009) studied isothermal cavities with different shapes intruded into solids with internal heat generation aiming to increase heat transfer, performance.…”

Section: Introductionmentioning

confidence: 99%

Geometric Optimization of “+”-Shaped Cavity Using Constructal Theory

Avendano

Souza

Adamatti

et al. 2017

RETERM

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In this work it is applied the Constructal Theory for the study of the geometry of an “+”-shaped isothermal cavity inserted in a conductive solid body. Main goal is to minimize the maximum temperature in the solid. The total volume of the solid and the total volume of the cavity are kept fixed while the dimensions of the cavity geometry vary according to constraints and degrees of freedom defined by the Constructal Design. The solid body has internal heat generation and its external surfaces are insulated. Cavity walls are isothermal with constant temperature Tmin. Obtained results indicate that the optimal performance of “+”-shape cavity is 37.2% better that the optimal performance of “C”-shape cavity and 10.8% better than the “T”-shaped cavity for the same thermal conditions.

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Section: Introductionmentioning

confidence: 99%

Geometric Optimization of “+”-Shaped Cavity Using Constructal Theory

Avendano

Souza

Adamatti

et al. 2017

RETERM

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“…To the animate and inanimate examples (animal locomotion, river basins, turbulence) that were unified as a phenomenon of free-morphing flow design for greater access over time, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] we are now adding examples that belonged traditionally to solid mechanics. For example, the natural occurrence of hexagonal basalt columns is attributed to a principle of maximum energy release.…”

Section: Introductionmentioning

confidence: 99%

The physics origin of the hierarchy of bodies in space

Bejan

Wagstaff

2016

Journal of Applied Physics

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The physical origin of torque and of the rotational second law Am. J. Phys. 83, 121 (2015); 10.1119/1.4896574Rotating frame analysis of rigid body dynamics in space phasor variables Am. J. Phys. 81, 518 (2013) Here we show that bodies of the same size suspended uniformly in space constitute a system (a "suspension") in a state of uniform volumetric tension because of mass-to-mass forces of attraction. The system "snaps" hierarchically, and evolves faster to a state of reduced tension when the bodies coalesce spontaneously nonuniformly, i.e., hierarchically, into few large and many small bodies suspended in the same space. Hierarchy, not uniformity, is the design that emerges, and it is in accord with the constructal law. The implications of this principle of physics in natural organization and evolution are discussed. V C 2016 AIP Publishing LLC.[http://dx.doi.org/10.1063/1.4941986] INTRODUCTIONRecent progress on the physics basis of evolutionary organization in nature 1,2 continues to bring together phenomena that were previously considered unrelated. To the animate and inanimate examples (animal locomotion, river basins, turbulence) that were unified as a phenomenon of free-morphing flow design for greater access over time, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] we are now adding examples that belonged traditionally to solid mechanics. For example, the natural occurrence of hexagonal basalt columns is attributed to a principle of maximum energy release. 19 The occurrence of cracks in solids is based on the same principle. [20][21][22] Soil cracking under the drying wind was explained as a phenomenon of evolutionary design that enhances mass flow and accelerates drying. 23 The aggregation of dust particles into clusters and dendrites was shown to be the result of the same tendency, to relieve electrostatic forces of attraction faster, through the evolutionary design of configuration. 24 Here we add to this growing list of evolutionary phenomena the natural occurrence of multi-size hierarchy of bodies suspended in space. The hierarchy of sizes is researched intensely and described regularly in planetary science and astrophysics. [25][26][27][28][29][30][31] Hierarchy emerges in two ways, through accretion (coalescence) and fragmentation resulting from collisions. Viewed from thermodynamics, 32 the system of bodies in space is in a state of internal tension because of gravitational attraction between neighboring bodies. This system "snaps" freely by flowing internally and changing its configuration. Bodies coalesce into larger bodies, and their collision (with fragmentation) dissipates the tension and resulting kinetic energy, en route to reduced body-body attraction throughout the system. This phenomenon has been studied in celestial mechanics under several scenarios, [25][26][27] and is recognized as the basis for the formation process of planets and the asteroid belt.Sizes increase over all scales through accretion. 31 Yet, the natural phenomenon is not only the growth of the body size...

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“…The found results are compared with those available in the literature and a very good agreement was found. Lorenzini et al [11] optimized the dimensionless excess of temperature of an open T-shaped cavity cooled by a steady stream of convection that intrudes into a solid conducting wall subject to an area fraction. Lorenzini et al [12] Lorenzini et al optimized the shape of cavities that intrude into a cylindrical solid body.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Conduction-Radiation Heat Transfer With Variable Thermal Conductivity and Variable Refractive Index: Application of the Lattice Boltzmann Method

Mahmoudi¹,

Mejri²

2015

IJHT

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The effect of variable thermal conductivity and variable refractive index on transient conduction and radiation heat transfer in a planar medium is investigated. Thermal conductivity of the medium is assumed to vary linearly with temperature, while the other thermo-physical properties are assumed constant. The radiative transfer equation and the nonlinear energy equation are solved using lattice Boltzmann method (LBM). The effects of various parameters are studied. The LBM results are compared with those available in literature and a good agreement is found.

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Geometric optimization of a convective T-shaped cavity on the basis of constructal theory

Cited by 33 publications

References 22 publications

Geometric Optimization of “+”-Shaped Cavity Using Constructal Theory

Geometric Optimization of “+”-Shaped Cavity Using Constructal Theory

The physics origin of the hierarchy of bodies in space

Analysis of Conduction-Radiation Heat Transfer With Variable Thermal Conductivity and Variable Refractive Index: Application of the Lattice Boltzmann Method

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