Chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro-channel
Many fluids, including biological fluids such as mucus and blood, are viscoelastic. Through the introduction of chaotic flows in a micro-channel and the construction of maps of characteristic chaos parameters, differences in viscoelastic properties of these fluids can be measured. This is demonstrat...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2015
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| Online Access: | https://hdl.handle.net/10356/79307 http://hdl.handle.net/10220/38682 |
| _version_ | 1811697590135160832 |
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| author | Han, J. Lim, Chun Ping Lam, Yee Cheong |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Han, J. Lim, Chun Ping Lam, Yee Cheong |
| author_sort | Han, J. |
| collection | NTU |
| description | Many fluids, including biological fluids such as mucus and blood, are viscoelastic. Through the introduction of chaotic flows in a micro-channel and the construction of maps of characteristic chaos parameters, differences in viscoelastic properties of these fluids can be measured. This is demonstrated by creating viscoelastic chaotic flows induced in an H-shaped micro-channel through the steady infusion of a polymeric fluid of polyethylene oxide (PEO) and another immiscible fluid (silicone oil). A protocol for chaos analysis was established and demonstrated for the analysis of the chaotic flows generated by two polymeric fluids of different molecular weight but with similar relaxation times. The flows were shown to be chaotic through the computation of their correlation dimension (D2) and the largest Lyapunov exponent (λ1), with D2 being fractional and λ1 being positive. Contour maps of D2 and λ1 of the respective fluids in the operating space, which is defined by the combination of polymeric fluids and silicone oil flow rates, were constructed to represent the characteristic of the chaotic flows generated. It was observed that, albeit being similar, the fluids have generally distinct characteristic maps with some similar trends. The differences in the D2 and λ1 maps are indicative of the difference in the molecular weight of the polymers in the fluids because the driving force of the viscoelastic chaotic flows is of molecular origin. This approach in constructing the characteristic maps of chaos parameters can be employed as a diagnostic tool for biological fluids and, more generally, chaotic signals. |
| first_indexed | 2024-10-01T07:57:40Z |
| format | Journal Article |
| id | ntu-10356/79307 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:57:40Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | ntu-10356/793072023-03-04T17:13:34Z Chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro-channel Han, J. Lim, Chun Ping Lam, Yee Cheong School of Mechanical and Aerospace Engineering Many fluids, including biological fluids such as mucus and blood, are viscoelastic. Through the introduction of chaotic flows in a micro-channel and the construction of maps of characteristic chaos parameters, differences in viscoelastic properties of these fluids can be measured. This is demonstrated by creating viscoelastic chaotic flows induced in an H-shaped micro-channel through the steady infusion of a polymeric fluid of polyethylene oxide (PEO) and another immiscible fluid (silicone oil). A protocol for chaos analysis was established and demonstrated for the analysis of the chaotic flows generated by two polymeric fluids of different molecular weight but with similar relaxation times. The flows were shown to be chaotic through the computation of their correlation dimension (D2) and the largest Lyapunov exponent (λ1), with D2 being fractional and λ1 being positive. Contour maps of D2 and λ1 of the respective fluids in the operating space, which is defined by the combination of polymeric fluids and silicone oil flow rates, were constructed to represent the characteristic of the chaotic flows generated. It was observed that, albeit being similar, the fluids have generally distinct characteristic maps with some similar trends. The differences in the D2 and λ1 maps are indicative of the difference in the molecular weight of the polymers in the fluids because the driving force of the viscoelastic chaotic flows is of molecular origin. This approach in constructing the characteristic maps of chaos parameters can be employed as a diagnostic tool for biological fluids and, more generally, chaotic signals. Published version 2015-09-08T08:16:41Z 2019-12-06T13:22:10Z 2015-09-08T08:16:41Z 2019-12-06T13:22:10Z 2015 2015 Journal Article Lim, C. P., Han, J., & Lam, Y. C. (2015). Chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro-channel. AIP Advances, 5, 077150-. 2158-3226 https://hdl.handle.net/10356/79307 http://hdl.handle.net/10220/38682 10.1063/1.4927474 en AIP Advances © 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. application/pdf |
| spellingShingle | Han, J. Lim, Chun Ping Lam, Yee Cheong Chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro-channel |
| title | Chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro-channel |
| title_full | Chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro-channel |
| title_fullStr | Chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro-channel |
| title_full_unstemmed | Chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro-channel |
| title_short | Chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro-channel |
| title_sort | chaos analysis of viscoelastic chaotic flows of polymeric fluids in a micro channel |
| url | https://hdl.handle.net/10356/79307 http://hdl.handle.net/10220/38682 |
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