Constructal placement of unequal heat sources on a plate cooled by laminar forced convection

Hajmohammadi, M.R.; Shirani, Ebrahim; Salimpour, Mohammad Reza; Campo, Antônio

doi:10.1016/j.ijthermalsci.2012.04.025

Cited by 55 publications

(10 citation statements)

References 17 publications

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“…For example, for laminar forced convection over a flat plate with embedded heat sources, the classical relation from heat convection theory stipulates that T max $ x 1=2 [6], which is well known. In this sense, for instance, da Silva et al [7,8] and Hajmohammadi et al [9] have proposed that by adding insulated spacing between heat sources, the peak temperature is remarkably reduced when the size of the insulated spacing is optimized. These authors demonstrated that to achieve the minimum peak temperature in the heat sources, the entire system must operate at a uniform temperature.…”

Section: Introductionmentioning

confidence: 99%

Effects of a Thick Plate on the Excess Temperature of Iso-Heat Flux Heat Sources Cooled by Laminar Forced Convection Flow: Conjugate Analysis

Hajmohammadi¹,

Moulod²,

Shariatzadeh³

et al. 2014

Numerical Heat Transfer, Part A: Applications

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A conjugate analysis via the finite volume approach is performed to study the effects of a thick plate on the excess (peak) temperature of an iso-heat flux heat source cooled by laminar forced convection flow. A thick plate of temperature-dependent thermal conductivity is placed between the heat sources and the cooling fluid. A cooling fluid flows over the thick plate and removes the heat by laminar forced convection. On account of the two-dimensional heat redistribution in the finite thick plate with one face subjected to iso-heat flux and the other face exposed to forced flow, the interface ceases to be an iso-heat flux and, consequently, reduces the excess temperature of the heat sources. In the numerical analysis, the thickness of the plate is relaxed one by one to search for the optimal thickness that minimizes the excess temperature. It is shown that the reduction in the excess temperature due to the insertion of the thick plate with optimal thickness depends upon the Reynolds number of the fluid flow and the fluid-to-solid thermal conductivity ratio.

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Section: Introductionmentioning

confidence: 99%

Effects of a Thick Plate on the Excess Temperature of Iso-Heat Flux Heat Sources Cooled by Laminar Forced Convection Flow: Conjugate Analysis

Hajmohammadi¹,

Moulod²,

Shariatzadeh³

et al. 2014

Numerical Heat Transfer, Part A: Applications

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“…The third one comes in accordance with the assumption that all the ''hot spots" are of the same temperature equal to the allowed limit. Alternatively, all the discrete heat sources are to be the ''hardest working" elements [16] following the rule of ''uniform distribution of imperfection" [17]. Finally, whether or not including the fourth constraint in Eq.…”

Section: Optimizationmentioning

confidence: 99%

“…Cases of more heat sources with optimal spacings yielded higher thermal conductance. Breaking through the theoretical constraints [16] on both sizes and spacings of a finite number of heat sources, Hajmohammadi et al [17] compared the results from the minimization of ''hot spots" temperature for cases with and without limits on the size and cooling load of the entire plate. Degrees of morphing freedom again was found having a significant influence on the minimized ''hot spot" temperature.…”

Section: Introductionmentioning

confidence: 99%

A synthetic layout optimization of discrete heat sources flush mounted on a laminar flow cooled flat plate based on the constructal law

Shi

Dong

2015

Energy Conversion and Management

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“…The design should be free to vary, in accord with the Constructal design method [1]. The current literature details the application of this method to smart structures [1][2][3][4][5][6][7][8][11][12][13] and thermofluid design [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. In a few instances, mechanical strength was used as the design objective [29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Vascularization for cooling and reduced thermal stresses

Çetkin

Lorente

Bejan

2015

International Journal of Heat and Mass Transfer

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a b s t r a c tThis paper documents the effect of thermal expansion on a vascularized plate that is heated and loaded mechanically. Vascular cooling channels embedded in a circular plate provide cooling and mechanical strength. The coolant enters the plate from the center and leaves after it cools the plate to an allowable temperature limit. The mechanical strength of the plate decreases because of the embedded cooling channels. However, cooling the plate under an allowable temperature level decreases the thermal stresses. The mechanical strength of the plate which is heated and loaded mechanically at the same time can be increased by inserting cooling channels in it. The mechanical and thermofluid behavior of a vascularized plate was simulated numerically. The cooling channel configurations that provide the smallest peak temperature and von Mises stress are documented. There is one cooling channel configuration that is the best for the given set of boundary conditions and constraints; however, there is no single configuration that is best for all conditions.

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Constructal placement of unequal heat sources on a plate cooled by laminar forced convection

Cited by 55 publications

References 17 publications

Effects of a Thick Plate on the Excess Temperature of Iso-Heat Flux Heat Sources Cooled by Laminar Forced Convection Flow: Conjugate Analysis

Effects of a Thick Plate on the Excess Temperature of Iso-Heat Flux Heat Sources Cooled by Laminar Forced Convection Flow: Conjugate Analysis

A synthetic layout optimization of discrete heat sources flush mounted on a laminar flow cooled flat plate based on the constructal law

Vascularization for cooling and reduced thermal stresses

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