Kinematic Properties of a Twisted Double Planetary Chaotic Mixer: A Three-Dimensional Numerical Investigation
In this study, a numerical investigation based on the CFD method is carried out to study the unsteady laminar flow of Newtonian fluid with a high viscosity in a three-dimensional simulation of a twisted double planetary mixer, which is composed of two agitating rods inside a moving tank. The conside...
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| Format: | Article |
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MDPI AG
2022-09-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/13/9/1545 |
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| author | Telha Mostefa Aissaoui Djamel Eddine Naas Toufik Tayeb Shakhawat Hossain Arifur Rahman Bachiri Mohamed Kwang-Yong Kim |
| author_facet | Telha Mostefa Aissaoui Djamel Eddine Naas Toufik Tayeb Shakhawat Hossain Arifur Rahman Bachiri Mohamed Kwang-Yong Kim |
| author_sort | Telha Mostefa |
| collection | DOAJ |
| description | In this study, a numerical investigation based on the CFD method is carried out to study the unsteady laminar flow of Newtonian fluid with a high viscosity in a three-dimensional simulation of a twisted double planetary mixer, which is composed of two agitating rods inside a moving tank. The considered stirring protocol is a “Continuous sine squared motion” by using the dynamic mesh model and user-defined functions (UDFs)to define the velocity profiles. The chaotic advection is obtained in our active mixers by the temporal modulation of rotational velocities of the moving walls in order to enhance the mixing of the fluid for a low Reynolds number and a high Peclet number. For this goal, we applied the Poincaré section and Lyapunov exponent as reliable mathematic tools for checking mixing quality by tracking a number of massless particles inside the fluid domain. Additionally, we investigated the development of fluid kinematics proprieties, such as vorticity, helicity, strain rate and elongation rate, at various time periods in order to view the impact of temporal modulation on the flow properties. The results of the mentioned simulation showed that it is possible to obtain a chaotic advection after a relatively short time, which can deeply enhance mixing fluid efficiency. |
| first_indexed | 2024-03-09T23:06:38Z |
| format | Article |
| id | doaj.art-2941b11108094363909edc07e12c4fa0 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-03-09T23:06:38Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj.art-2941b11108094363909edc07e12c4fa02023-11-23T17:51:20ZengMDPI AGMicromachines2072-666X2022-09-01139154510.3390/mi13091545Kinematic Properties of a Twisted Double Planetary Chaotic Mixer: A Three-Dimensional Numerical InvestigationTelha Mostefa0Aissaoui Djamel Eddine1Naas Toufik Tayeb2Shakhawat Hossain3Arifur Rahman4Bachiri Mohamed5Kwang-Yong Kim6Department of Mechanical Engineering, Ziane Achour University of Djelfa, Djelfa 17000, AlgeriaDepartment of Mechanical Engineering, Ziane Achour University of Djelfa, Djelfa 17000, AlgeriaGas Turbine Joint Research Team, University of Djelfa, Djelfa 17000, AlgeriaDepartment of Industrial and Production Engineering, Jashore University of Science and Technology, Jashore 7408, BangladeshBangabandhu Textile Engineering College, Kalihati, Tangail 1970, BangladeshDepartment of Matter Sciences, Laghouat University, Laghouat 3000, AlgeriaDepartment of Mechanical Engineering, Inha University, 100Inha-Ro, Michuhol-Gu, Incheon 22212, KoreaIn this study, a numerical investigation based on the CFD method is carried out to study the unsteady laminar flow of Newtonian fluid with a high viscosity in a three-dimensional simulation of a twisted double planetary mixer, which is composed of two agitating rods inside a moving tank. The considered stirring protocol is a “Continuous sine squared motion” by using the dynamic mesh model and user-defined functions (UDFs)to define the velocity profiles. The chaotic advection is obtained in our active mixers by the temporal modulation of rotational velocities of the moving walls in order to enhance the mixing of the fluid for a low Reynolds number and a high Peclet number. For this goal, we applied the Poincaré section and Lyapunov exponent as reliable mathematic tools for checking mixing quality by tracking a number of massless particles inside the fluid domain. Additionally, we investigated the development of fluid kinematics proprieties, such as vorticity, helicity, strain rate and elongation rate, at various time periods in order to view the impact of temporal modulation on the flow properties. The results of the mentioned simulation showed that it is possible to obtain a chaotic advection after a relatively short time, which can deeply enhance mixing fluid efficiency.https://www.mdpi.com/2072-666X/13/9/1545twisted double planetaryactive mixerchaotic mixingPoincaré sectionkinematic propertiesunsteady flow |
| spellingShingle | Telha Mostefa Aissaoui Djamel Eddine Naas Toufik Tayeb Shakhawat Hossain Arifur Rahman Bachiri Mohamed Kwang-Yong Kim Kinematic Properties of a Twisted Double Planetary Chaotic Mixer: A Three-Dimensional Numerical Investigation Micromachines twisted double planetary active mixer chaotic mixing Poincaré section kinematic properties unsteady flow |
| title | Kinematic Properties of a Twisted Double Planetary Chaotic Mixer: A Three-Dimensional Numerical Investigation |
| title_full | Kinematic Properties of a Twisted Double Planetary Chaotic Mixer: A Three-Dimensional Numerical Investigation |
| title_fullStr | Kinematic Properties of a Twisted Double Planetary Chaotic Mixer: A Three-Dimensional Numerical Investigation |
| title_full_unstemmed | Kinematic Properties of a Twisted Double Planetary Chaotic Mixer: A Three-Dimensional Numerical Investigation |
| title_short | Kinematic Properties of a Twisted Double Planetary Chaotic Mixer: A Three-Dimensional Numerical Investigation |
| title_sort | kinematic properties of a twisted double planetary chaotic mixer a three dimensional numerical investigation |
| topic | twisted double planetary active mixer chaotic mixing Poincaré section kinematic properties unsteady flow |
| url | https://www.mdpi.com/2072-666X/13/9/1545 |
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