Mathematical Model for Axisymmetric Taylor Flows Inside a Drop

Mathematical Model for Axisymmetric Taylor Flows Inside a Drop

. Analytical solutions of the Stokes equations written as a differential equation for the Stokes stream function were obtained. These solutions describe three-dimensional axisymmetric flows of a viscous liquid inside a drop that has the shape of a spheroid of rotation and have a similar set of chara...

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Main Authors: Ilya V. Makeev, Rufat Sh. Abiev, Igor Yu. Popov
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Fluids
Subjects:
Taylor flows
Stokes equations
Benchmark solution
Online Access:https://www.mdpi.com/2311-5521/6/1/7
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spelling doaj-c7bbc01884e347b897ea8f9814febd8a2020-12-27T00:01:37ZengMDPI AGFluids2311-55212021-12-0167710.3390/fluids6010007Mathematical Model for Axisymmetric Taylor Flows Inside a DropIlya V. Makeev0Rufat Sh. Abiev1Igor Yu. Popov2Faculty of Control Systems and Robotics, Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Kronverkskiy, 49, 197101 Saint Petersburg, RussiaDepartment of Optimization of Chemical and Biotechnological Equipment, Saint Petersburg State Institute of Technology (Technical University), Moscovskiy Prospect, 26, 190013 Saint Petersburg, RussiaFaculty of Control Systems and Robotics, Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Kronverkskiy, 49, 197101 Saint Petersburg, Russia. Analytical solutions of the Stokes equations written as a differential equation for the Stokes stream function were obtained. These solutions describe three-dimensional axisymmetric flows of a viscous liquid inside a drop that has the shape of a spheroid of rotation and have a similar set of characteristics with Taylor flows inside bubbles that occur during the transfer of a two-component mixture through tubes.https://www.mdpi.com/2311-5521/6/1/7Taylor flowsStokes equationsBenchmark solution
collection DOAJ
language English
format Article
sources DOAJ
author Ilya V. Makeev
Rufat Sh. Abiev
Igor Yu. Popov
spellingShingle Ilya V. Makeev
Rufat Sh. Abiev
Igor Yu. Popov
Mathematical Model for Axisymmetric Taylor Flows Inside a Drop
Fluids
Taylor flows
Stokes equations
Benchmark solution
author_facet Ilya V. Makeev
Rufat Sh. Abiev
Igor Yu. Popov
author_sort Ilya V. Makeev
title Mathematical Model for Axisymmetric Taylor Flows Inside a Drop
title_short Mathematical Model for Axisymmetric Taylor Flows Inside a Drop
title_full Mathematical Model for Axisymmetric Taylor Flows Inside a Drop
title_fullStr Mathematical Model for Axisymmetric Taylor Flows Inside a Drop
title_full_unstemmed Mathematical Model for Axisymmetric Taylor Flows Inside a Drop
title_sort mathematical model for axisymmetric taylor flows inside a drop
publisher MDPI AG
series Fluids
issn 2311-5521
publishDate 2021-12-01
description . Analytical solutions of the Stokes equations written as a differential equation for the Stokes stream function were obtained. These solutions describe three-dimensional axisymmetric flows of a viscous liquid inside a drop that has the shape of a spheroid of rotation and have a similar set of characteristics with Taylor flows inside bubbles that occur during the transfer of a two-component mixture through tubes.
topic Taylor flows
Stokes equations
Benchmark solution
url https://www.mdpi.com/2311-5521/6/1/7
work_keys_str_mv AT ilyavmakeev mathematicalmodelforaxisymmetrictaylorflowsinsideadrop
AT rufatshabiev mathematicalmodelforaxisymmetrictaylorflowsinsideadrop
AT igoryupopov mathematicalmodelforaxisymmetrictaylorflowsinsideadrop
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