Thermal Analysis of a MEMS-Based Self-Adaptive Microfluidic Cooling Device
This study presents a thermal analysis of a temperature-driven microfluidic cell through a nonlinear self-adaptive micro valve that provides the mechanisms for the system to maintain a given critical temperature in an efficient way. For the description of the dynamics of the microfluidic cell, a sys...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-04-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/12/5/505 |
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| author | Gonzalo Sisó Joana Rosell-Mirmi Álvaro Fernández Gerard Laguna Montse Vilarrubi Jérôme Barrau Manuel Ibañez Joan Rosell-Urrutia |
| author_facet | Gonzalo Sisó Joana Rosell-Mirmi Álvaro Fernández Gerard Laguna Montse Vilarrubi Jérôme Barrau Manuel Ibañez Joan Rosell-Urrutia |
| author_sort | Gonzalo Sisó |
| collection | DOAJ |
| description | This study presents a thermal analysis of a temperature-driven microfluidic cell through a nonlinear self-adaptive micro valve that provides the mechanisms for the system to maintain a given critical temperature in an efficient way. For the description of the dynamics of the microfluidic cell, a system of two ordinary differential equations subjected to a nonlinear boundary condition, which describes the behavior of the valve, is proposed. The solution of the model, for determined conditions, shows the strong nonlinearity between the overall thermal resistance of the device and the heat flux dissipated due to the action of the thermostatic valve, obtaining a variable thermal resistance from 1.6 × 10<sup>−5</sup> to 2.0 × 10<sup>−4</sup> Km<sup>2</sup>/W. In addition, a stability analysis of the temperature-driven microfluidic cell is presented. The stability of the device is essential for its proper functioning and thus, to prevent its oscillating behavior. Therefore, this work focuses on assessing the range of design parameters of the self-adaptive micro valve to produce a stable behavior for the entire system. The stability analysis was performed by studying the linear perturbation around the stationary solution, with the model solved for various heat flows, flow rates, and critical temperatures. Finally, a map of the design parameters space, which specifies the region with asymptotic stability, was found. In this map, the critical temperature (temperature at which the valve initiates the buckling) plays and important role. |
| first_indexed | 2024-03-10T11:47:14Z |
| format | Article |
| id | doaj.art-6fb6193d70bd4445965e093f5c50dd10 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-03-10T11:47:14Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj.art-6fb6193d70bd4445965e093f5c50dd102023-11-21T17:58:37ZengMDPI AGMicromachines2072-666X2021-04-0112550510.3390/mi12050505Thermal Analysis of a MEMS-Based Self-Adaptive Microfluidic Cooling DeviceGonzalo Sisó0Joana Rosell-Mirmi1Álvaro Fernández2Gerard Laguna3Montse Vilarrubi4Jérôme Barrau5Manuel Ibañez6Joan Rosell-Urrutia7Dynamic Systems Applied to Solar Energy Research Group, University of Lleida, Avda Jaume II 69, 25001 Lleida, SpainDynamic Systems Applied to Solar Energy Research Group, University of Lleida, Avda Jaume II 69, 25001 Lleida, SpainDynamic Systems Applied to Solar Energy Research Group, University of Lleida, Avda Jaume II 69, 25001 Lleida, SpainCentre Internacional de Mètodes Numèrics en Enginyeria, Building Energy and Environment Group, CIMNE–Lleida, Pere de Cabrera 16, Office 2G, 25001 Lleida, SpainDynamic Systems Applied to Solar Energy Research Group, University of Lleida, Avda Jaume II 69, 25001 Lleida, SpainDynamic Systems Applied to Solar Energy Research Group, University of Lleida, Avda Jaume II 69, 25001 Lleida, SpainDynamic Systems Applied to Solar Energy Research Group, University of Lleida, Avda Jaume II 69, 25001 Lleida, SpainDynamic Systems Applied to Solar Energy Research Group, University of Lleida, Avda Jaume II 69, 25001 Lleida, SpainThis study presents a thermal analysis of a temperature-driven microfluidic cell through a nonlinear self-adaptive micro valve that provides the mechanisms for the system to maintain a given critical temperature in an efficient way. For the description of the dynamics of the microfluidic cell, a system of two ordinary differential equations subjected to a nonlinear boundary condition, which describes the behavior of the valve, is proposed. The solution of the model, for determined conditions, shows the strong nonlinearity between the overall thermal resistance of the device and the heat flux dissipated due to the action of the thermostatic valve, obtaining a variable thermal resistance from 1.6 × 10<sup>−5</sup> to 2.0 × 10<sup>−4</sup> Km<sup>2</sup>/W. In addition, a stability analysis of the temperature-driven microfluidic cell is presented. The stability of the device is essential for its proper functioning and thus, to prevent its oscillating behavior. Therefore, this work focuses on assessing the range of design parameters of the self-adaptive micro valve to produce a stable behavior for the entire system. The stability analysis was performed by studying the linear perturbation around the stationary solution, with the model solved for various heat flows, flow rates, and critical temperatures. Finally, a map of the design parameters space, which specifies the region with asymptotic stability, was found. In this map, the critical temperature (temperature at which the valve initiates the buckling) plays and important role.https://www.mdpi.com/2072-666X/12/5/505microfluidic cellself-adaptive valvecooling device |
| spellingShingle | Gonzalo Sisó Joana Rosell-Mirmi Álvaro Fernández Gerard Laguna Montse Vilarrubi Jérôme Barrau Manuel Ibañez Joan Rosell-Urrutia Thermal Analysis of a MEMS-Based Self-Adaptive Microfluidic Cooling Device Micromachines microfluidic cell self-adaptive valve cooling device |
| title | Thermal Analysis of a MEMS-Based Self-Adaptive Microfluidic Cooling Device |
| title_full | Thermal Analysis of a MEMS-Based Self-Adaptive Microfluidic Cooling Device |
| title_fullStr | Thermal Analysis of a MEMS-Based Self-Adaptive Microfluidic Cooling Device |
| title_full_unstemmed | Thermal Analysis of a MEMS-Based Self-Adaptive Microfluidic Cooling Device |
| title_short | Thermal Analysis of a MEMS-Based Self-Adaptive Microfluidic Cooling Device |
| title_sort | thermal analysis of a mems based self adaptive microfluidic cooling device |
| topic | microfluidic cell self-adaptive valve cooling device |
| url | https://www.mdpi.com/2072-666X/12/5/505 |
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