RECORD
Drag coefficient of a rising bubble in a shear-thinning fluid using the power-law scheme coupled with a Cahn-Hilliard equation with a variable mobility: A lattice Boltzmann study and comparison with experiment
Fluid Dynamics · Submitted 19 Jul 2022
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Also, the simulated examples show good conformity to experimental results over a range of the Reynolds and Eotvos numbers.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
This study aims to investigate the behavior of multicomponent fluid flows consisting of Newtonian and non-Newtonian components, especially terminal velocity of a rising bubble in a power-law fluid. A recent lattice Boltzmann (LB) model is extended using power-law scheme to be able to simulate both Newtonian and non-Newtonian fluid flows at high density and viscosity ratios. Also, a variable mobility is introduced in this study to minimize the unphysical error around small bubbles in the domain. A three-component fluid flow system is examined using a constant and variable mobility. It is shown that each component has more stability using variable mobility while constant mobility causes interface dissipation, leading to mass loss gradually. In addition, two test cases including power-law fluid flows driven between two parallel plates are conducted to show the accuracy and capability of the model. To find a grid-independent computational domain, a grid independency test is carried out to show that a 200*400 domain size is suitable for our computations. Then, terminal velocity of a rising bubble is compared to an existing correlation in the literature, indicating that the results are in good agreement with existing study so that average relative error in six different cases is 5.66 %. Also, the simulated examples show good conformity to experimental results over a range of the Reynolds and Eotvos numbers.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | This study aims to investigate the behavior of multicomponent fluid flows consisting of Newtonian and non-Newtonian components, especially terminal velocity of a rising bubble in a power-law fluid. | contribution 0.58 | 0.37 | 0.04 | asserted 0.69 |
| s1 | A recent lattice Boltzmann (LB) model is extended using power-law scheme to be able to simulate both Newtonian and non-Newtonian fluid flows at high density and viscosity ratios. | method 0.68 | 0.85 | 0.04 | asserted 1.00 |
| s2 | Also, a variable mobility is introduced in this study to minimize the unphysical error around small bubbles in the domain. | contribution 0.64 | 0.93 | 0.05 | asserted 0.96 |
| s3 | A three-component fluid flow system is examined using a constant and variable mobility. | method 0.74 | 0.90 | 0.03 | asserted 0.95 |
| s4 | It is shown that each component has more stability using variable mobility while constant mobility causes interface dissipation, leading to mass loss gradually. | result 0.96 | 0.92 | 0.12 | asserted 1.00 |
| s5 | In addition, two test cases including power-law fluid flows driven between two parallel plates are conducted to show the accuracy and capability of the model. | method 0.91 | 0.95 | 0.04 | asserted 0.99 |
| s6 | To find a grid-independent computational domain, a grid independency test is carried out to show that a 200*400 domain size is suitable for our computations. | method 0.98 | 0.96 | 0.02 | asserted 1.00 |
| s7 | Then, terminal velocity of a rising bubble is compared to an existing correlation in the literature, indicating that the results are in good agreement with existing study so that average relative error in six different cases is 5.66 %. | result 0.98 | 0.93 | 0.42 | asserted 0.63 |
| s8 | Also, the simulated examples show good conformity to experimental results over a range of the Reynolds and Eotvos numbers. | result 0.98 | 0.92 | 0.26 | asserted 0.99 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
This study aims to investigate the behavior of multicomponent fluid flows consisting of Newtonian and non-Newtonian components, especially terminal velocity of a rising bubble in a power-law fluid. A recent lattice Boltzmann (LB) model is extended using power-law scheme to be able to simulate both Newtonian and non-Newtonian fluid flows at high density and viscosity ratios. Also, a variable mobility is introduced in this study to minimize the unphysical error around small bubbles in the domain. A three-component fluid flow system is examined using a constant and variable mobility. It is shown that each component has more stability using variable mobility while constant mobility causes interface dissipation, leading to mass loss gradually. In addition, two test cases including power-law fluid flows driven between two parallel plates are conducted to show the accuracy and capability of the model. To find a grid-independent computational domain, a grid independency test is carried out to show that a 200*400 domain size is suitable for our computations. Then, terminal velocity of a rising bubble is compared to an existing correlation in the literature, indicating that the results are in good agreement with existing study so that average relative error in six different cases is 5.66 %. Also, the simulated examples show good conformity to experimental results over a range of the Reynolds and Eotvos numbers.
Human review
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.