Constructal Design of Elliptical Cylinders with Heat Generating for Entropy Generation Minimization

Wang, Rong; Xie, Zhihui; Yin, You; Chen, Lingen

doi:10.3390/e22060651

Cited by 8 publications

(5 citation statements)

References 92 publications

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“…The bionic methods play a certain role in heat dissipation, but the application scenarios of such bionic methods are limited, and the design ideas are mostly inspired by the phenomenon, which makes it difficult to do sustained research. Wang [16] established a three-dimensional heat dissipation model in 2019 and carried out the conformation design with thermal conductivity distribution and heat source intensity score as design variables, and the maximum system temperature and equivalent thermal resistance as performance indexes. Li [17] selected the minimization of maximum thermal resistance as the optimization objective and the aspect ratio of the end face of the heat sink unit as the optimization variables to optimize the structure of the composite heat sink in 2021.…”

Section: Introductionmentioning

confidence: 99%

Topology Structural Design and Thermal Characteristics Analysis of High-Efficiency Heat Conductive Path for the Spindle System

Li,

Liu,

et al. 2023

Processes

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In order to enhance the heat dissipation of the spindle under working condition, thermal conductivity paths were designed based on the topology optimization method. The heat conductive path was proposed to be constructed in the bearing housing and the spindle housing, which was simplified as a toroidal model. Taking the heat dissipation weakness as the optimization objective, the topological structure with the highest thermal conductivity was obtained based on the OC and IPTO algorithms. In order to analyze the influence of the heat conductive path on the circumferential heat distribution of the spindle, the thermal characteristic of the model with heat conductive paths filled with copper was investigated. Compared with the general model, the heat conductive path could reduce the temperature of the spindle from 47 °C to 33 °C when the volume proportion of the high thermal conductivity material was 40%. At the same time, the strength of the heat conductive path was analyzed, and the size of the stress was not more than 3MPa, which verified the effectiveness of the heat conductive path for efficient heat conduction.

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Section: Introductionmentioning

confidence: 99%

Topology Structural Design and Thermal Characteristics Analysis of High-Efficiency Heat Conductive Path for the Spindle System

Li,

Liu,

et al. 2023

Processes

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“…Since it was proposed, constructal theory has been widely used in various fields [ 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 ]. As one of the main fields, it has opened up new research on the optimizations of heat and mass transfer, such as heat source [ 23 , 24 , 25 , 26 ], heat conduction [ 27 , 28 , 29 , 30 ], convection heat transfer [ 31 , 32 , 33 ] and heat exchange equipment [ 34 , 35 , 36 , 37 , 38 ].…”

Section: Introductionmentioning

confidence: 99%

Constructal Optimizations of Line-to-Line Vascular Channels with Turbulent Convection Heat Transfer

Lin

Xie

Nan

et al. 2022

Entropy

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The multi-scale line-to-line vascular channels (LVCs) widely exist in nature because of their excellent transmission characteristics. In this paper, models of LVCs with turbulent convection heat transfer are established. Based on constructal theory and the entropy generation minimization principle, the constructal optimizations of LVCs with any order are conducted by taking the angles at bifurcations as the optimization variables. The heat flux on the channel wall per unit length is fixed and uniform. The areas occupied by vasculature and the total volumes of channels are fixed. The analytical expressions of the optimal angles, dimensionless total entropy generation rate and entropy generation number (EGN) of LVCs with any order versus dimensionless mass flow rate are obtained, respectively. The results indicate that the dimensionless total entropy generation rate of LVCs with any order can be significantly decreased by optimizing the angles of LVCs, which is significantly more when the order of LVCs is higher. As the dimensionless mass flow rate increases, the optimal angles of LVCs with any order remain unchanged first, then the optimal angles at the entrance (root) increase, and the other optimal angles decrease continuously and finally tend to the respective stable values. The optimal angles of LVCs continue to increase from the entrance to the outlet (crown), i.e., the LVCs with a certain order gradually spread out from the root to the crown. The dimensionless total entropy generation rate and EGN of LVCs first decrease and then increase with the growth of the dimensionless mass flow rate. There is optimal dimensionless mass flow rate, making the dimensionless total entropy generation rate and the EGN reach their respective minimums. The results obtained herein can provide some new theoretical guidelines of thermal design and management for the practical applications of LVCs.

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“…Samal et al [51] established six HS models embedded circular pipe loops with different shapes, and obtained the optimal shape and channel length of loops. Wang et al [52] established 3-D heat dissipation model, and obtained the optimal thermal conductivity and heat generating density for EGM under turbulent conditions.…”

Section: Introductionmentioning

confidence: 99%

Constructal Optimization of Rectangular Microchannel Heat Sink with Porous Medium for Entropy Generation Minimization

Xie

et al. 2021

Entropy

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A model of rectangular microchannel heat sink (MCHS) with porous medium (PM) is developed. Aspect ratio of heat sink (HS) cell and length-width ratio of HS are optimized by numerical simulation method for entropy generation minimization (EGM) according to constructal theory. The effects of inlet Reynolds number (Re) of coolant, heat flux on bottom, porosity and volume proportion of PM on dimensionless entropy generation rate (DEGR) are analyzed. From the results, there are optimal aspect ratios to minimize DEGR. Given the initial condition, DEGR is 33.10% lower than its initial value after the aspect ratio is optimized. With the increase of Re, the optimal aspect ratio declines, and the minimum DEGR drops as well. DEGR gets larger and the optimal aspect ratio remains constant with the increasing of heat flux on bottom. For the different volume proportion of PM, the optimal aspect ratios are diverse, but the minimum DEGR almost stays unchanged. The twice minimized DEGR, which results from aspect ratio and length-width ratio optimized simultaneously, is 10.70% lower than the once minimized DEGR. For a rectangular bottom, a lower DEGR can be reached by choosing the proper direction of fluid flow.

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Constructal Design of Elliptical Cylinders with Heat Generating for Entropy Generation Minimization

Cited by 8 publications

References 92 publications

Topology Structural Design and Thermal Characteristics Analysis of High-Efficiency Heat Conductive Path for the Spindle System

Topology Structural Design and Thermal Characteristics Analysis of High-Efficiency Heat Conductive Path for the Spindle System

Constructal Optimizations of Line-to-Line Vascular Channels with Turbulent Convection Heat Transfer

Constructal Optimization of Rectangular Microchannel Heat Sink with Porous Medium for Entropy Generation Minimization

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