An Iterative Approach for the Parameter Estimation of Shear-Rate and Temperature-Dependent Rheological Models for Polymeric Liquids Article Swipe
Medeu Amangeldi
,
Yanwei Wang
,
Asma Perveen
,
Dichuan Zhang
,
Dongming Wei
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3390/polym13234185
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3390/polym13234185
Numerical flow simulations play an important role in polymer processing. One of the essential prerequisites for accurate and precise flow simulations is to obtain accurate materials functions. In the framework of the generalized Newtonian fluid model, one needs to obtain shear viscosity as a function of the rate-of-shear and temperature—as determined by rheometry—and then fitted to a mathematical model. Often, many subjectively perform the fitting without paying attention to the relative quality of the estimated parameters. This paper proposes a unique iterative algorithm for fitting the rate-of-shear and temperature-dependent viscosity model under the time–temperature superposition (TTS) principle. Proof-of-concept demonstrations are shown using the five-parameter Carreau–Yasuda model and experimental data from small-amplitude oscillatory shear (SAOS) measurements. It is shown that the newly proposed iterative algorithm leads to a more accurate representation of the experimental data compared to the traditional approach. We compare their performance in studies of the steady isothermal flow of a Carreau–Yasuda model fluid in a straight, circular tube. The two sets of parameters, one from the traditional approach and the other from the newly proposed iterative approach, show considerable differences in flow simulation. The percentage difference between the two predictions can be as large as 10% or more. Furthermore, even in cases where prior knowledge of the TTS shifting factors is not available, the newly proposed iterative approach can still yield a good fit to the experimental data, resulting in both the shifting factors and parameters for the non-Newtonian fluid model.
Related Topics
Concepts
Shear rate
Superposition principle
Carreau fluid
Rheology
Rheometry
Generalized Newtonian fluid
Mechanics
Iterative method
Non-Newtonian fluid
Rate of convergence
Materials science
Newtonian fluid
Estimation theory
Viscosity
Mathematics
Computer science
Thermodynamics
Algorithm
Physics
Mathematical analysis
Computer network
Channel (broadcasting)
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/polym13234185
- https://www.mdpi.com/2073-4360/13/23/4185/pdf?version=1638246383
- OA Status
- gold
- Cited By
- 8
- References
- 29
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3217462569
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3217462569Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.3390/polym13234185Digital Object Identifier
- Title
-
An Iterative Approach for the Parameter Estimation of Shear-Rate and Temperature-Dependent Rheological Models for Polymeric LiquidsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
-
2021-11-30Full publication date if available
- Authors
-
Medeu Amangeldi, Yanwei Wang, Asma Perveen, Dichuan Zhang, Dongming WeiList of authors in order
- Landing page
-
https://doi.org/10.3390/polym13234185Publisher landing page
- PDF URL
-
https://www.mdpi.com/2073-4360/13/23/4185/pdf?version=1638246383Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://www.mdpi.com/2073-4360/13/23/4185/pdf?version=1638246383Direct OA link when available
- Concepts
-
Shear rate, Superposition principle, Carreau fluid, Rheology, Rheometry, Generalized Newtonian fluid, Mechanics, Iterative method, Non-Newtonian fluid, Rate of convergence, Materials science, Newtonian fluid, Estimation theory, Viscosity, Mathematics, Computer science, Thermodynamics, Algorithm, Physics, Mathematical analysis, Computer network, Channel (broadcasting)Top concepts (fields/topics) attached by OpenAlex
- Cited by
-
8Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1, 2024: 2, 2023: 1, 2022: 4Per-year citation counts (last 5 years)
- References (count)
-
29Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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