Computational and Experimental Investigations of Forced Convection in 3D Printed Architected Heat Sinks Based on Triply Periodic Minimal Surface Topologies

  • Mohamad M. Khalil

Student thesis: Master's Thesis


In this thesis, experimental and computational investigations were carried out to characterize the hydraulic and thermal performances of a triply periodic minimal surfaces (TPMS)-based heat sinks under forced convection, namely; Gyroid sheet-networks (G-Sh), Gyroid solid-networks (G-So), and Diamond solid-networks (D-So) The commercial CFD code STAR-CCM+ was used for the computational investigation. Three different viscous models were implemented to investigate the hydraulic performance of the TPMS structures, namely, laminar model, the SST k-omega, and the realizable k-epsilon. A square airflow channel was used to obtain the hydraulic characteristics such as the permeability (K) and the inertial resistance coefficient (cF) where the Reynolds number was varied between 670-5100 for the experimental investigation and 4080-65000 for the numerical investigation. The thermal characteristics such as the overall convection heat transfer coefficient (UA) Nusselt number (Nu) were investigated computationally based on a validated model. The Realizable k-ε turbulence model was employed to model the flow and heat transfer. The results showed that the structures with the largest pore size exhibited the highest pressure drop values. G-Sh had the highest pressure drop values followed by D-so and then G-So. In addition, the structures that exhibited the highest pressure drop values had the highest U. The G-So and the D-So reported lower permeability-based friction factor compared to metal foams. The Colburn j-factor and the efficiency index (η) were used. The Diamond solid-networks reported the highest compromise between heat transfer and pressure drop.
Date of AwardMay 2020
Original languageAmerican English


  • Forced convection
  • Heat sink
  • Triply periodic minimal surfaces
  • Additive manufacturing.

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