The Basset–Boussinesq history force: its neglect, validity, and recent numerical developments
Particle-laden flows are ubiquitous, ranging across systems such as platelets in blood, dust storms, marine snow, and cloud droplets. The dynamics of a small particle in such non-uniform flows, under the idealization of being rigid and spherical, is described by the Maxey–Riley–Gatignol equation, wh...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-05-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2023.1167338/full |
| _version_ | 1797822499221667840 |
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| author | Divya Jaganathan S. Ganga Prasath Rama Govindarajan Vishal Vasan |
| author_facet | Divya Jaganathan S. Ganga Prasath Rama Govindarajan Vishal Vasan |
| author_sort | Divya Jaganathan |
| collection | DOAJ |
| description | Particle-laden flows are ubiquitous, ranging across systems such as platelets in blood, dust storms, marine snow, and cloud droplets. The dynamics of a small particle in such non-uniform flows, under the idealization of being rigid and spherical, is described by the Maxey–Riley–Gatignol equation, which includes the Basset–Boussinesq history force among other better-understood forces. The history force, which is an integral over time with a weakly singular kernel, is often neglected, not because such neglect is known to be justified, but because it is difficult to be included in general scenarios. It is becoming increasingly evident that there are situations where neglecting this force might not be valid. In this review, after introducing classical knowledge about the history force, we outline recent studies that suggest alternative forms for it and discuss the range of validity of each, and describe recent numerical methods that have been developed to efficiently compute the history force. The question of whether the history force matters requires careful consideration and can be settled only with its accurate inclusion. We hope this review will help researchers addressing the multitude of open questions related to particulate flows to account for this effect. |
| first_indexed | 2024-03-13T10:09:57Z |
| format | Article |
| id | doaj.art-d8649394c62544e0872c1264f2b72bba |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-03-13T10:09:57Z |
| publishDate | 2023-05-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-d8649394c62544e0872c1264f2b72bba2023-05-22T04:54:45ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-05-011110.3389/fphy.2023.11673381167338The Basset–Boussinesq history force: its neglect, validity, and recent numerical developmentsDivya Jaganathan0S. Ganga Prasath1Rama Govindarajan2Vishal Vasan3International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru, IndiaDepartment of Applied Mechanics, Indian Institute of Technology Madras, Chennai, IndiaInternational Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru, IndiaInternational Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bengaluru, IndiaParticle-laden flows are ubiquitous, ranging across systems such as platelets in blood, dust storms, marine snow, and cloud droplets. The dynamics of a small particle in such non-uniform flows, under the idealization of being rigid and spherical, is described by the Maxey–Riley–Gatignol equation, which includes the Basset–Boussinesq history force among other better-understood forces. The history force, which is an integral over time with a weakly singular kernel, is often neglected, not because such neglect is known to be justified, but because it is difficult to be included in general scenarios. It is becoming increasingly evident that there are situations where neglecting this force might not be valid. In this review, after introducing classical knowledge about the history force, we outline recent studies that suggest alternative forms for it and discuss the range of validity of each, and describe recent numerical methods that have been developed to efficiently compute the history force. The question of whether the history force matters requires careful consideration and can be settled only with its accurate inclusion. We hope this review will help researchers addressing the multitude of open questions related to particulate flows to account for this effect.https://www.frontiersin.org/articles/10.3389/fphy.2023.1167338/fullparticulate flowMaxey–Riley equationunsteady Stokes flowBasset-Boussinesq history forcememory force |
| spellingShingle | Divya Jaganathan S. Ganga Prasath Rama Govindarajan Vishal Vasan The Basset–Boussinesq history force: its neglect, validity, and recent numerical developments Frontiers in Physics particulate flow Maxey–Riley equation unsteady Stokes flow Basset-Boussinesq history force memory force |
| title | The Basset–Boussinesq history force: its neglect, validity, and recent numerical developments |
| title_full | The Basset–Boussinesq history force: its neglect, validity, and recent numerical developments |
| title_fullStr | The Basset–Boussinesq history force: its neglect, validity, and recent numerical developments |
| title_full_unstemmed | The Basset–Boussinesq history force: its neglect, validity, and recent numerical developments |
| title_short | The Basset–Boussinesq history force: its neglect, validity, and recent numerical developments |
| title_sort | basset boussinesq history force its neglect validity and recent numerical developments |
| topic | particulate flow Maxey–Riley equation unsteady Stokes flow Basset-Boussinesq history force memory force |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2023.1167338/full |
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