Range of effectiveness of hydraulic diameter model as an analytical solution for rectangular microchannels
Hypothesis: Spontaneous capillary flow in rectangular microfluidic channels is employed in microfluidic devices for various applications. The exact solution for flow in a rectangular cross-sectional channel has a complex point that contains an infinite sum term. The flow depends on the depth-width r...
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Elsevier
2025-01-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024175299 |
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| author | Koichiro Kobayashi Kenji Sakamoto |
| author_facet | Koichiro Kobayashi Kenji Sakamoto |
| author_sort | Koichiro Kobayashi |
| collection | DOAJ |
| description | Hypothesis: Spontaneous capillary flow in rectangular microfluidic channels is employed in microfluidic devices for various applications. The exact solution for flow in a rectangular cross-sectional channel has a complex point that contains an infinite sum term. The flow depends on the depth-width ratio of the rectangular channel's cross-section, ε. In previous studies, several approximations from exact solutions were useful for ε values smaller than 1 or 2. In this study, we propose a conversion equation J(ε) that turns the hydraulic-diameter (HD) model into a rectangular-channel (RC) model. Experiments: Rectangular type flow experiments with ethanol solution were conducted to confirm the difference between the RC and HD models when the analysis was performed based on each model. Findings: J(ε) depends on ε. At ε=0.441,2.27, the two models coincide. For 0.247<ε<4.04, J(ε) deviates by ±12.5%. |
| format | Article |
| id | doaj-art-067840e77fa94ce1a9237615eb8a985e |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-067840e77fa94ce1a9237615eb8a985e2025-01-17T04:51:27ZengElsevierHeliyon2405-84402025-01-01111e41498Range of effectiveness of hydraulic diameter model as an analytical solution for rectangular microchannelsKoichiro Kobayashi0Kenji Sakamoto1Shipping Technology Department, National Institute of Technology, Oshima College, Suo-Oshima, 742-2193, Japan; Corresponding author.Department of Intelligent and Control Systems, Kyushu Institute of Technology, Iizuka, Fukuoka, 820-8502, JapanHypothesis: Spontaneous capillary flow in rectangular microfluidic channels is employed in microfluidic devices for various applications. The exact solution for flow in a rectangular cross-sectional channel has a complex point that contains an infinite sum term. The flow depends on the depth-width ratio of the rectangular channel's cross-section, ε. In previous studies, several approximations from exact solutions were useful for ε values smaller than 1 or 2. In this study, we propose a conversion equation J(ε) that turns the hydraulic-diameter (HD) model into a rectangular-channel (RC) model. Experiments: Rectangular type flow experiments with ethanol solution were conducted to confirm the difference between the RC and HD models when the analysis was performed based on each model. Findings: J(ε) depends on ε. At ε=0.441,2.27, the two models coincide. For 0.247<ε<4.04, J(ε) deviates by ±12.5%.http://www.sciencedirect.com/science/article/pii/S2405844024175299Microfluidic channelCapillary flowRectangular channelHydraulic diameter |
| spellingShingle | Koichiro Kobayashi Kenji Sakamoto Range of effectiveness of hydraulic diameter model as an analytical solution for rectangular microchannels Heliyon Microfluidic channel Capillary flow Rectangular channel Hydraulic diameter |
| title | Range of effectiveness of hydraulic diameter model as an analytical solution for rectangular microchannels |
| title_full | Range of effectiveness of hydraulic diameter model as an analytical solution for rectangular microchannels |
| title_fullStr | Range of effectiveness of hydraulic diameter model as an analytical solution for rectangular microchannels |
| title_full_unstemmed | Range of effectiveness of hydraulic diameter model as an analytical solution for rectangular microchannels |
| title_short | Range of effectiveness of hydraulic diameter model as an analytical solution for rectangular microchannels |
| title_sort | range of effectiveness of hydraulic diameter model as an analytical solution for rectangular microchannels |
| topic | Microfluidic channel Capillary flow Rectangular channel Hydraulic diameter |
| url | http://www.sciencedirect.com/science/article/pii/S2405844024175299 |
| work_keys_str_mv | AT koichirokobayashi rangeofeffectivenessofhydraulicdiametermodelasananalyticalsolutionforrectangularmicrochannels AT kenjisakamoto rangeofeffectivenessofhydraulicdiametermodelasananalyticalsolutionforrectangularmicrochannels |