Constructal conjugate cooling channels with internal heat generation

Olakoyejo, Olabode Thomas; Bello‐Ochende, Tunde; Meyer, Josua P.

doi:10.1016/j.ijheatmasstransfer.2012.04.007

Cited by 27 publications

(12 citation statements)

References 28 publications

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“…However, this deviations, which are attributed to simplifying assumptions made in the formulation of the theoretical solution. These results are also in agreement with past research work [18,27].…”

Section: Correlations Of the Theoretical Methods And Numerical Optimissupporting

confidence: 94%

“…3b shows that the optimal hydraulic diameter decreases as the dimensionless pressure differences increase and there exists a unique optimal geometry for each of the applied dimensionless pressure differences for the configurations. These trends of results are also in good agreement with previous work [27,39]. Figure 3c shows the optimal channel spacing ratio (s 1 /s 2 ) remains unchanged and insensitive to the performance of the system whereas regardless of the dimensionless pressure difference number for the two triangular configurations.…”

Section: Design Variables Constraintssupporting

confidence: 90%

“…This study is an extension of our previous work [27] on the constructal theory for the cylindrical and square configurations with internal heat generation, where we showed that the minimised peak temperature is a function of the geometry and shape. Triangular shapes are considered separately because of the unique nature of the geometry.…”

supporting

confidence: 56%

“…The theoretical analysis for the configurations followed the application of the intersection of asymptotes method and scale analysis [19,27,40] to provide the existence of an optimum geometry that minimised the peak temperature and global thermal resistance. The method of intersection of asymptotes outlined by Olakoyejo et al [27] was used to determine the optimal geometric shape. Therefore, the dimensionless thermal resistance, R, behaviour in the extreme limit of a small triangular channel is given as:…”

Section: Methods Of Intersection Of Asymptotesmentioning

confidence: 99%

“…Where β is the numerical value determined from the porosity of the channel and is defined in re [27] as:…”

Section: Methods Of Intersection Of Asymptotesmentioning

confidence: 99%

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Constructal optimisation of conjugate triangular cooling channels with internal heat generation

Meyer

Olakoyejo

Bello‐Ochende

2012

International Communications in Heat and Mass Transfer

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This paper presents the development of the three-dimensional flow architecture of conjugate cooling channels in forced convection with internal heat generation within a solid.Two types of cross-section channel geometries were used. The first involved equilateral triangles with three equal legs in length and all three internal angles of 60 0 . The second was isosceles right triangles with two legs of equal length and internal angles of 90 0 , 45 0 and 45 0 .Both the equilateral triangle and isosceles right triangle are special case of triangle that can easily and uniformly be packed and arranged to form a larger constructs. The configurationswere optimised in such a way that the peak temperature of the heat generating solid was minimised subject to the constraint of a fixed global volume of the solid material. The cooling fluid was driven through the channels by the pressure difference across the channel. The degrees of freedom of the channels were aspect ratio, hydraulic diameter and channel to channel spacing ratio. The shape of the channel was allowed to morph to determine the best configuration that gives the lowest thermal resistance. A gradient-based optimisation algorithm was applied in order to search for the best optimal geometric configurations that improve thermal performance by minimising thermal resistance for a wide range of dimensionless pressure difference. The effect of porosities, applied pressure and heat generation rate on the optimal aspect ratio and channel to channel spacing are reported. It was found that there are unique optimal design variables for a given pressure difference.

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Section: Correlations Of the Theoretical Methods And Numerical Optimissupporting

confidence: 94%

Section: Design Variables Constraintssupporting

confidence: 90%

supporting

confidence: 56%

Section: Methods Of Intersection Of Asymptotesmentioning

confidence: 99%

“…Where β is the numerical value determined from the porosity of the channel and is defined in re [27] as:…”

Section: Methods Of Intersection Of Asymptotesmentioning

confidence: 99%

See 3 more Smart Citations

Constructal optimisation of conjugate triangular cooling channels with internal heat generation

Meyer

Olakoyejo

Bello‐Ochende

2012

International Communications in Heat and Mass Transfer

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Constructal heat transfer and fluid flow enhancement optimization for cylindrical microcooling channels with variable cross‐section

et al. 2021

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This study applies constructal theory to conduct a numerical optimization of three-dimensional cylindrical microcooling channels with the solid structure subjected to internal heat generation. The cylindrical channels are designed as variable cross-section configurations that experience conjugate heat transfer and fluid flow, where water is used as the coolant. The research aims to optimize the channel configurations subject to a fixed global solid material volume constraint. The key objectives are to minimize the global thermal resistance and friction factor. The coolant is pushed through the channels by pressure drop represented as Bejan number. The main design parameters are the inlet and outlet diameters at a given porosity. The channel configuration and the structure elemental volume are permitted to change to find the best design parameters that minimized thermal resistance and friction factor, so that the cooling effect is enhanced. An ANSYS FLUENT code is used to obtain the best optimal parameter of the configuration that enhances thermal performance. The influence of Bejan number on optimized inlet and outlet diameters led to How to cite this article: Olakoyejo OT, Adelaja AO, Adewumi OO, Oluwo AA, Bello SK, Adio SA. Constructal heat transfer and fluid flow enhancement optimization for cylindrical microcooling channels with variable cross-section.

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A multi-objective study on the constructal design of non-uniform heat generating disc cooled by radial- and dendritic-pattern cooling channels

Chen

You

Feng

2021

Sci. China Technol. Sci.

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Constructal conjugate cooling channels with internal heat generation

Cited by 27 publications

References 28 publications

Constructal optimisation of conjugate triangular cooling channels with internal heat generation

Constructal optimisation of conjugate triangular cooling channels with internal heat generation

Constructal heat transfer and fluid flow enhancement optimization for cylindrical microcooling channels with variable cross‐section

A multi-objective study on the constructal design of non-uniform heat generating disc cooled by radial- and dendritic-pattern cooling channels

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