Experimental Study on Heat Transfer Performance of FKS-TPMS Heat Sink Designs and Time Series Prediction

As the demand for advanced cooling solutions increases with the rise in artificial intelligence and high-performance computing, efficient thermal management becomes critical, particularly for data centers and electronic systems. Triply Periodic Minimal Surface (TPMS) heat sinks have shown superior t...

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Main Authors: Mahsa Hajialibabaei, Mohamad Ziad Saghir
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Energies
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Online Access:https://www.mdpi.com/1996-1073/18/13/3459
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author Mahsa Hajialibabaei
Mohamad Ziad Saghir
author_facet Mahsa Hajialibabaei
Mohamad Ziad Saghir
author_sort Mahsa Hajialibabaei
collection DOAJ
description As the demand for advanced cooling solutions increases with the rise in artificial intelligence and high-performance computing, efficient thermal management becomes critical, particularly for data centers and electronic systems. Triply Periodic Minimal Surface (TPMS) heat sinks have shown superior thermal performance over conventional designs by enhancing heat transfer efficiency. In this study, a novel Fischer–Koch-S (FKS) TPMS heat sink was experimentally tested with four porosity configurations, 0.6 (identified as P6), 0.7 (identified as P7), 0.8 (identified as P8), and a gradient porosity ranging from 0.6 to 0.8 (identified as P678) along the flow direction, under a mass flow rate range of 0.012 to 0.019 kg/s. Key thermal parameters including surface temperature, thermal resistance, heat transfer coefficient, and Nusselt number were analyzed and compared to the conventional straight-channel heat sink (SCHS) using numerical modeling. Among all configurations, the P6 design demonstrated the best performance, with surface temperature differences ranging from 13.1 to 14.2 °C at 0.019 kg/s and a 54.46% higher heat transfer coefficient compared to the P8 design at the lowest mass flow rate. Thermal resistance decreased consistently with an increasing mass flow rate, with P6 achieving a 31.8% reduction compared to P8 at 0.019 kg/s. The P678 gradient design offered improved temperature uniformity and performance at higher mass flow rates. Nusselt number ratios confirmed that low-porosity and gradient TPMS designs outperform the SCHS, with performance advantages increasing as the mass flow rate rises. To further enhance the experimental process, a deep learning model based on a Temporal Convolutional Network (TCN) was developed to predict steady-state surface temperatures using early-stage time-series data, to reduce test time and enable efficient validation.
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spelling doaj-art-fd7b9d9c19e74261aef0433b1222bb572025-08-20T03:16:46ZengMDPI AGEnergies1996-10732025-07-011813345910.3390/en18133459Experimental Study on Heat Transfer Performance of FKS-TPMS Heat Sink Designs and Time Series PredictionMahsa Hajialibabaei0Mohamad Ziad Saghir1Department of Mechanical Engineering, Toronto Metropolitan University, 350 Victoria St., Toronto, ON M5B 2K3, CanadaDepartment of Mechanical Engineering, Toronto Metropolitan University, 350 Victoria St., Toronto, ON M5B 2K3, CanadaAs the demand for advanced cooling solutions increases with the rise in artificial intelligence and high-performance computing, efficient thermal management becomes critical, particularly for data centers and electronic systems. Triply Periodic Minimal Surface (TPMS) heat sinks have shown superior thermal performance over conventional designs by enhancing heat transfer efficiency. In this study, a novel Fischer–Koch-S (FKS) TPMS heat sink was experimentally tested with four porosity configurations, 0.6 (identified as P6), 0.7 (identified as P7), 0.8 (identified as P8), and a gradient porosity ranging from 0.6 to 0.8 (identified as P678) along the flow direction, under a mass flow rate range of 0.012 to 0.019 kg/s. Key thermal parameters including surface temperature, thermal resistance, heat transfer coefficient, and Nusselt number were analyzed and compared to the conventional straight-channel heat sink (SCHS) using numerical modeling. Among all configurations, the P6 design demonstrated the best performance, with surface temperature differences ranging from 13.1 to 14.2 °C at 0.019 kg/s and a 54.46% higher heat transfer coefficient compared to the P8 design at the lowest mass flow rate. Thermal resistance decreased consistently with an increasing mass flow rate, with P6 achieving a 31.8% reduction compared to P8 at 0.019 kg/s. The P678 gradient design offered improved temperature uniformity and performance at higher mass flow rates. Nusselt number ratios confirmed that low-porosity and gradient TPMS designs outperform the SCHS, with performance advantages increasing as the mass flow rate rises. To further enhance the experimental process, a deep learning model based on a Temporal Convolutional Network (TCN) was developed to predict steady-state surface temperatures using early-stage time-series data, to reduce test time and enable efficient validation.https://www.mdpi.com/1996-1073/18/13/3459Fischer–Koch-Striply periodic minimal surfaceconvection heat transferNusselt number
spellingShingle Mahsa Hajialibabaei
Mohamad Ziad Saghir
Experimental Study on Heat Transfer Performance of FKS-TPMS Heat Sink Designs and Time Series Prediction
Energies
Fischer–Koch-S
triply periodic minimal surface
convection heat transfer
Nusselt number
title Experimental Study on Heat Transfer Performance of FKS-TPMS Heat Sink Designs and Time Series Prediction
title_full Experimental Study on Heat Transfer Performance of FKS-TPMS Heat Sink Designs and Time Series Prediction
title_fullStr Experimental Study on Heat Transfer Performance of FKS-TPMS Heat Sink Designs and Time Series Prediction
title_full_unstemmed Experimental Study on Heat Transfer Performance of FKS-TPMS Heat Sink Designs and Time Series Prediction
title_short Experimental Study on Heat Transfer Performance of FKS-TPMS Heat Sink Designs and Time Series Prediction
title_sort experimental study on heat transfer performance of fks tpms heat sink designs and time series prediction
topic Fischer–Koch-S
triply periodic minimal surface
convection heat transfer
Nusselt number
url https://www.mdpi.com/1996-1073/18/13/3459
work_keys_str_mv AT mahsahajialibabaei experimentalstudyonheattransferperformanceoffkstpmsheatsinkdesignsandtimeseriesprediction
AT mohamadziadsaghir experimentalstudyonheattransferperformanceoffkstpmsheatsinkdesignsandtimeseriesprediction