The Application of Triply Periodic Minimal Surfaces in Static Mixing

  • Mariam Ouda

Student thesis: Master's Thesis


Static mixers consist of motionless elements placed along a pipe for a purpose of increasing turbulence along their length. They have many applications in water treatment such as pH control, inline coagulation, and sludge treatment. These mixers come in a wide variety of geometries. The optimum geometry is one which results in the lowest energy requirements, and the highest mixing performance. Triply periodic minimal surfaces (TPMS) are 3D printable surfaces based on mathematical models that are defined such that there are no dead zones at any point on the surface. In this work, these geometries were modeled via computational fluid dynamics to test their potential use as static mixers in water treatment applications. Three of the four geometries resulted in a significantly better energy performance compared to the commercial Kenics mixer. It was shown that with design variations, a mixing performance comparable to the Kenics mixer can be achieved with at least 25% decrease in energy requirements. This study demonstrated that static mixers based on TPMS surfaces can be an excellent choice if the energy input is limited, at a comparable mixing efficiency. Furthermore, it bench-marked the potential use of other design variations that may result in better mixing performance along with a reduced energy requirement.
Date of AwardJul 2019
Original languageAmerican English


  • TPMS
  • 3D printing
  • water treatment
  • static mixers
  • CFD

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