Modelling of Elongational Flow of HDPE Melts by Hierarchical Multi-Mode Molecular Stress Function Model
The transient elongational data set obtained by filament-stretching rheometry of four commercial high-density polyethylene (HDPE) melts with different molecular characteristics was reported by Morelly and Alvarez [Rheologica Acta 59, 797–807 (2020)]. We use the Hierarchical Multi-mode Molecular Stre...
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| Format: | Article |
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MDPI AG
2021-09-01
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| Series: | Polymers |
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| Online Access: | https://www.mdpi.com/2073-4360/13/19/3217 |
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| author | Leslie Poh Esmaeil Narimissa Manfred H. Wagner |
| author_facet | Leslie Poh Esmaeil Narimissa Manfred H. Wagner |
| author_sort | Leslie Poh |
| collection | DOAJ |
| description | The transient elongational data set obtained by filament-stretching rheometry of four commercial high-density polyethylene (HDPE) melts with different molecular characteristics was reported by Morelly and Alvarez [Rheologica Acta 59, 797–807 (2020)]. We use the Hierarchical Multi-mode Molecular Stress Function (HMMSF) model of Narimissa and Wagner [Rheol. Acta 54, 779–791 (2015), and J. Rheology 60, 625–636 (2016)] for linear and long-chain branched (LCB) polymer melts to analyze the extensional rheological behavior of the four HDPEs with different polydispersity and long-chain branching content. Model predictions based solely on the linear-viscoelastic spectrum and a single nonlinear parameter, the dilution modulus <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>G</mi><mi>D</mi></msub></mrow></semantics></math></inline-formula> for extensional flows reveals good agreement with elongational stress growth data. The relationship of dilution modulus <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>G</mi><mi>D</mi></msub></mrow></semantics></math></inline-formula> to molecular characteristics (e.g., polydispersity index (PDI), long-chain branching index (LCBI), disengagement time <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>τ</mi><mi>d</mi></msub></mrow></semantics></math></inline-formula>) of the high-density polyethylene melts are presented in this paper. A new measure of the maximum strain hardening factor (MSHF) is proposed, which allows separation of the effects of orientation and chain stretching. |
| first_indexed | 2024-03-10T06:54:28Z |
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| language | English |
| last_indexed | 2024-03-10T06:54:28Z |
| publishDate | 2021-09-01 |
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| series | Polymers |
| spelling | doaj.art-d41b54ec812849128490741fae28d5942023-11-22T16:37:24ZengMDPI AGPolymers2073-43602021-09-011319321710.3390/polym13193217Modelling of Elongational Flow of HDPE Melts by Hierarchical Multi-Mode Molecular Stress Function ModelLeslie Poh0Esmaeil Narimissa1Manfred H. Wagner2Department of Chemical Engineering, Technion—Israel Institute of Technology (IIT), Technion City, Haifa 32 000, IsraelDepartment of Chemical Engineering, Technion—Israel Institute of Technology (IIT), Technion City, Haifa 32 000, IsraelPolymer Engineering/Polymer Physics, Berlin Institute of Technology (TU Berlin), Ernst-Reuter-Platz 1, 10587 Berlin, GermanyThe transient elongational data set obtained by filament-stretching rheometry of four commercial high-density polyethylene (HDPE) melts with different molecular characteristics was reported by Morelly and Alvarez [Rheologica Acta 59, 797–807 (2020)]. We use the Hierarchical Multi-mode Molecular Stress Function (HMMSF) model of Narimissa and Wagner [Rheol. Acta 54, 779–791 (2015), and J. Rheology 60, 625–636 (2016)] for linear and long-chain branched (LCB) polymer melts to analyze the extensional rheological behavior of the four HDPEs with different polydispersity and long-chain branching content. Model predictions based solely on the linear-viscoelastic spectrum and a single nonlinear parameter, the dilution modulus <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>G</mi><mi>D</mi></msub></mrow></semantics></math></inline-formula> for extensional flows reveals good agreement with elongational stress growth data. The relationship of dilution modulus <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>G</mi><mi>D</mi></msub></mrow></semantics></math></inline-formula> to molecular characteristics (e.g., polydispersity index (PDI), long-chain branching index (LCBI), disengagement time <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>τ</mi><mi>d</mi></msub></mrow></semantics></math></inline-formula>) of the high-density polyethylene melts are presented in this paper. A new measure of the maximum strain hardening factor (MSHF) is proposed, which allows separation of the effects of orientation and chain stretching.https://www.mdpi.com/2073-4360/13/19/3217high density polyethyleneHMMSF modelviscoelastic flows |
| spellingShingle | Leslie Poh Esmaeil Narimissa Manfred H. Wagner Modelling of Elongational Flow of HDPE Melts by Hierarchical Multi-Mode Molecular Stress Function Model Polymers high density polyethylene HMMSF model viscoelastic flows |
| title | Modelling of Elongational Flow of HDPE Melts by Hierarchical Multi-Mode Molecular Stress Function Model |
| title_full | Modelling of Elongational Flow of HDPE Melts by Hierarchical Multi-Mode Molecular Stress Function Model |
| title_fullStr | Modelling of Elongational Flow of HDPE Melts by Hierarchical Multi-Mode Molecular Stress Function Model |
| title_full_unstemmed | Modelling of Elongational Flow of HDPE Melts by Hierarchical Multi-Mode Molecular Stress Function Model |
| title_short | Modelling of Elongational Flow of HDPE Melts by Hierarchical Multi-Mode Molecular Stress Function Model |
| title_sort | modelling of elongational flow of hdpe melts by hierarchical multi mode molecular stress function model |
| topic | high density polyethylene HMMSF model viscoelastic flows |
| url | https://www.mdpi.com/2073-4360/13/19/3217 |
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