Dynamical aspects of transient electro-osmotic flow of Burgers' fluid with zeta potential in cylindrical tube
In this article, we consider the flow of a Burgers’ fluid of transient electro-osmotic type in a small tube with a circular cross-section. Analytical results are found for the transient velocity and, electric potential profile by solving the Navier–Stokes and the linearized Poisson–Boltzmann equatio...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-02-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2022-0256 |
| _version_ | 1811159401941172224 |
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| author | Raza Nauman Khan Ahmad Kamal Awan Aziz Ullah Abro Kashif Ali |
| author_facet | Raza Nauman Khan Ahmad Kamal Awan Aziz Ullah Abro Kashif Ali |
| author_sort | Raza Nauman |
| collection | DOAJ |
| description | In this article, we consider the flow of a Burgers’ fluid of transient electro-osmotic type in a small tube with a circular cross-section. Analytical results are found for the transient velocity and, electric potential profile by solving the Navier–Stokes and the linearized Poisson–Boltzmann equations. Moreover, these equations are solved with the help of the integral transform method. We consider cases in which the velocity of the fluid changes with time and those in which the velocity of the fluid does not change with time. Furthermore, special results for classical fluids such as Newtonian, second grade, Maxwell, and Oldroyd-B fluids are obtained as the particular cases of the outcomes of this work and that these results actually strengthen the results of the solution. This study of the nonlinear problem of Burgers’ fluid in a specified physical model will help us to understand the behavior of blood clotting and the block of any kind of problem in which this type of fluid is used. The solution of the complex velocity profile of Burgers’ fluid will help us in the future to solve the problems in which this transient electro-osmotic type of small tube is involved. At the end, numerical results are shown graphically that can help us to understand the complex behavior of the Burgers’ fluid, and also the analysis of the Burgers’ fluid shows dissimilarity with other fluids that are considered in this work. |
| first_indexed | 2024-04-10T05:40:26Z |
| format | Article |
| id | doaj.art-de0bcd5613cd4133a7d3c4bf89836c3f |
| institution | Directory Open Access Journal |
| issn | 2192-8029 |
| language | English |
| last_indexed | 2024-04-10T05:40:26Z |
| publishDate | 2023-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-de0bcd5613cd4133a7d3c4bf89836c3f2023-03-06T10:26:18ZengDe GruyterNonlinear Engineering2192-80292023-02-0112112849710.1515/nleng-2022-0256Dynamical aspects of transient electro-osmotic flow of Burgers' fluid with zeta potential in cylindrical tubeRaza Nauman0Khan Ahmad Kamal1Awan Aziz Ullah2Abro Kashif Ali3Department of Mathematics, University of the Punjab, Lahore, PakistanDepartment of Mathematics, University of the Punjab, Lahore, PakistanDepartment of Mathematics, University of the Punjab, Lahore, PakistanInstitute of Ground Water Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, South AfricaIn this article, we consider the flow of a Burgers’ fluid of transient electro-osmotic type in a small tube with a circular cross-section. Analytical results are found for the transient velocity and, electric potential profile by solving the Navier–Stokes and the linearized Poisson–Boltzmann equations. Moreover, these equations are solved with the help of the integral transform method. We consider cases in which the velocity of the fluid changes with time and those in which the velocity of the fluid does not change with time. Furthermore, special results for classical fluids such as Newtonian, second grade, Maxwell, and Oldroyd-B fluids are obtained as the particular cases of the outcomes of this work and that these results actually strengthen the results of the solution. This study of the nonlinear problem of Burgers’ fluid in a specified physical model will help us to understand the behavior of blood clotting and the block of any kind of problem in which this type of fluid is used. The solution of the complex velocity profile of Burgers’ fluid will help us in the future to solve the problems in which this transient electro-osmotic type of small tube is involved. At the end, numerical results are shown graphically that can help us to understand the complex behavior of the Burgers’ fluid, and also the analysis of the Burgers’ fluid shows dissimilarity with other fluids that are considered in this work.https://doi.org/10.1515/nleng-2022-0256burgers’ fluidintegral transformelectro-osmotictransient flow |
| spellingShingle | Raza Nauman Khan Ahmad Kamal Awan Aziz Ullah Abro Kashif Ali Dynamical aspects of transient electro-osmotic flow of Burgers' fluid with zeta potential in cylindrical tube Nonlinear Engineering burgers’ fluid integral transform electro-osmotic transient flow |
| title | Dynamical aspects of transient electro-osmotic flow of Burgers' fluid with zeta potential in cylindrical tube |
| title_full | Dynamical aspects of transient electro-osmotic flow of Burgers' fluid with zeta potential in cylindrical tube |
| title_fullStr | Dynamical aspects of transient electro-osmotic flow of Burgers' fluid with zeta potential in cylindrical tube |
| title_full_unstemmed | Dynamical aspects of transient electro-osmotic flow of Burgers' fluid with zeta potential in cylindrical tube |
| title_short | Dynamical aspects of transient electro-osmotic flow of Burgers' fluid with zeta potential in cylindrical tube |
| title_sort | dynamical aspects of transient electro osmotic flow of burgers fluid with zeta potential in cylindrical tube |
| topic | burgers’ fluid integral transform electro-osmotic transient flow |
| url | https://doi.org/10.1515/nleng-2022-0256 |
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