Dynamic Measurements with the Bicone Interfacial Shear Rheometer: The Effects of the Numerical Implementation of the Interfacial Boundary Condition
The increasing popularity of flow field-based data analysis (FFBDA) techniques has a paradigmatic example in the routines already developed for the rotational oscillating bicone bob interfacial shear rheometer. Such routines use a second order centered finite difference (SOCFD) discretization scheme...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Colloids and Interfaces |
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| Online Access: | https://www.mdpi.com/2504-5377/5/1/17 |
| _version_ | 1797540988513681408 |
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| author | Pablo Sánchez-Puga Javier Tajuelo Juan Manuel Pastor Miguel A. Rubio |
| author_facet | Pablo Sánchez-Puga Javier Tajuelo Juan Manuel Pastor Miguel A. Rubio |
| author_sort | Pablo Sánchez-Puga |
| collection | DOAJ |
| description | The increasing popularity of flow field-based data analysis (FFBDA) techniques has a paradigmatic example in the routines already developed for the rotational oscillating bicone bob interfacial shear rheometer. Such routines use a second order centered finite difference (SOCFD) discretization scheme, in both the vertical and radial coordinates, for the velocity field in the bulk fluid subphase and a first order forward finite difference (FOFFD) scheme in the vertical coordinate for the velocity field at the air/water interface. Such a mixture of schemes causes non-smooth flow fields at the interface that can be tackled by appropriately devising a SOCFD scheme for the vertical coordinate at the interface using a line of “phantom” nodes that merely serve to adequately merge the Navier–Stokes equations and the Boussinesq–Scriven boundary condition at the interface. Here we report on a detailed analysis of the quantitative improvements of such a scheme over the previous one by comparing the structure of the flow fields at and close to the interface, the differences in the interfacial and bulk drag torques on the bicone bob, and the differences in the torque/displacement complex amplitude ratio. |
| first_indexed | 2024-03-10T13:08:51Z |
| format | Article |
| id | doaj.art-9bedece8497b4a3a9c7f22898fd73d53 |
| institution | Directory Open Access Journal |
| issn | 2504-5377 |
| language | English |
| last_indexed | 2024-03-10T13:08:51Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Colloids and Interfaces |
| spelling | doaj.art-9bedece8497b4a3a9c7f22898fd73d532023-11-21T10:53:35ZengMDPI AGColloids and Interfaces2504-53772021-03-01511710.3390/colloids5010017Dynamic Measurements with the Bicone Interfacial Shear Rheometer: The Effects of the Numerical Implementation of the Interfacial Boundary ConditionPablo Sánchez-Puga0Javier Tajuelo1Juan Manuel Pastor2Miguel A. Rubio3Department of Fundamental Physics, Faculty of Sciences, Universidad Nacional de Educación a Distancia (UNED), Senda del Rey 9, 28040 Madrid, SpainDepartment of Interdisciplinary Physics, Faculty of Sciences, Universidad Nacional de Educación a Distancia (UNED), Senda del Rey 9, 28040 Madrid, SpainComplex Systems Group, ETSIAAB, Universidad Politécnica de Madrid, Av. Puerta de Hierro 4, 28040 Madrid, SpainDepartment of Fundamental Physics, Faculty of Sciences, Universidad Nacional de Educación a Distancia (UNED), Senda del Rey 9, 28040 Madrid, SpainThe increasing popularity of flow field-based data analysis (FFBDA) techniques has a paradigmatic example in the routines already developed for the rotational oscillating bicone bob interfacial shear rheometer. Such routines use a second order centered finite difference (SOCFD) discretization scheme, in both the vertical and radial coordinates, for the velocity field in the bulk fluid subphase and a first order forward finite difference (FOFFD) scheme in the vertical coordinate for the velocity field at the air/water interface. Such a mixture of schemes causes non-smooth flow fields at the interface that can be tackled by appropriately devising a SOCFD scheme for the vertical coordinate at the interface using a line of “phantom” nodes that merely serve to adequately merge the Navier–Stokes equations and the Boussinesq–Scriven boundary condition at the interface. Here we report on a detailed analysis of the quantitative improvements of such a scheme over the previous one by comparing the structure of the flow fields at and close to the interface, the differences in the interfacial and bulk drag torques on the bicone bob, and the differences in the torque/displacement complex amplitude ratio.https://www.mdpi.com/2504-5377/5/1/17interfacial rheologyinterfacial shear rheometerbicone interfacial rheometerflow field-based data processing |
| spellingShingle | Pablo Sánchez-Puga Javier Tajuelo Juan Manuel Pastor Miguel A. Rubio Dynamic Measurements with the Bicone Interfacial Shear Rheometer: The Effects of the Numerical Implementation of the Interfacial Boundary Condition Colloids and Interfaces interfacial rheology interfacial shear rheometer bicone interfacial rheometer flow field-based data processing |
| title | Dynamic Measurements with the Bicone Interfacial Shear Rheometer: The Effects of the Numerical Implementation of the Interfacial Boundary Condition |
| title_full | Dynamic Measurements with the Bicone Interfacial Shear Rheometer: The Effects of the Numerical Implementation of the Interfacial Boundary Condition |
| title_fullStr | Dynamic Measurements with the Bicone Interfacial Shear Rheometer: The Effects of the Numerical Implementation of the Interfacial Boundary Condition |
| title_full_unstemmed | Dynamic Measurements with the Bicone Interfacial Shear Rheometer: The Effects of the Numerical Implementation of the Interfacial Boundary Condition |
| title_short | Dynamic Measurements with the Bicone Interfacial Shear Rheometer: The Effects of the Numerical Implementation of the Interfacial Boundary Condition |
| title_sort | dynamic measurements with the bicone interfacial shear rheometer the effects of the numerical implementation of the interfacial boundary condition |
| topic | interfacial rheology interfacial shear rheometer bicone interfacial rheometer flow field-based data processing |
| url | https://www.mdpi.com/2504-5377/5/1/17 |
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