Fluid model using recursive approach: Application to permeable slit with uniform reabsorption and velocity slip
The present mathematical study discussed the two-dimensional slow flow of linear Phan Thien Tanner (LPTT) fluid by taking into account the permeable slit with slippage walls and reabsorption undergoes uniformly through slit walls. Mathematical modeling of the two-dimensional flow situation is carrie...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-06-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721003430 |
| _version_ | 1819155394564456448 |
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| author | Hameed Ullah Dianchen Lu Abdul Majeed Siddiqui Khadija Maqbool Shaukat Iqbal |
| author_facet | Hameed Ullah Dianchen Lu Abdul Majeed Siddiqui Khadija Maqbool Shaukat Iqbal |
| author_sort | Hameed Ullah |
| collection | DOAJ |
| description | The present mathematical study discussed the two-dimensional slow flow of linear Phan Thien Tanner (LPTT) fluid by taking into account the permeable slit with slippage walls and reabsorption undergoes uniformly through slit walls. Mathematical modeling of the two-dimensional flow situation is carried out in Cartesian coordinates and as result, a system of nonlinear PDEs along with nonhomogeneous boundary conditions are solved analytically using the recursive approach. The explicit expressions for velocity components in axial and radial directions along with stream function, pressure fields, normal stresses difference, and shear stress are obtained which are strongly dependent on the elongation parameter, Weissenberg number, slip parameter, and porosity parameter. The leakage flux and axial flow rate are calculated. The points are identified for maximum velocity. Graphical analysis is also established and found that an increment in the fluid elasticity enhances the magnitude of axial velocity and a significant change is noticed in the profile of axial velocity due to the extensional characteristic of the LPTT fluid. This theoretical study helps to understand the physical phenomena that describe the 2-dimensional flow through the permeable slit and have significant importance in industry and biosciences. |
| first_indexed | 2024-12-22T15:36:17Z |
| format | Article |
| id | doaj.art-eb0a6e40be504f958f056b2f548901eb |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-22T15:36:17Z |
| publishDate | 2021-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-eb0a6e40be504f958f056b2f548901eb2022-12-21T18:21:15ZengElsevierResults in Physics2211-37972021-06-0125104196Fluid model using recursive approach: Application to permeable slit with uniform reabsorption and velocity slipHameed Ullah0Dianchen Lu1Abdul Majeed Siddiqui2Khadija Maqbool3Shaukat Iqbal4Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China; Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, 57000, PakistanDepartment of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China; Corresponding author.Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USADepartment of Mathematics & Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Informatics and Systems, School of Systems and Technology, University of Management and Technology, Lahore, PakistanThe present mathematical study discussed the two-dimensional slow flow of linear Phan Thien Tanner (LPTT) fluid by taking into account the permeable slit with slippage walls and reabsorption undergoes uniformly through slit walls. Mathematical modeling of the two-dimensional flow situation is carried out in Cartesian coordinates and as result, a system of nonlinear PDEs along with nonhomogeneous boundary conditions are solved analytically using the recursive approach. The explicit expressions for velocity components in axial and radial directions along with stream function, pressure fields, normal stresses difference, and shear stress are obtained which are strongly dependent on the elongation parameter, Weissenberg number, slip parameter, and porosity parameter. The leakage flux and axial flow rate are calculated. The points are identified for maximum velocity. Graphical analysis is also established and found that an increment in the fluid elasticity enhances the magnitude of axial velocity and a significant change is noticed in the profile of axial velocity due to the extensional characteristic of the LPTT fluid. This theoretical study helps to understand the physical phenomena that describe the 2-dimensional flow through the permeable slit and have significant importance in industry and biosciences.http://www.sciencedirect.com/science/article/pii/S2211379721003430LPTT fluidCreeping flowUniform reabsorptionVelocity slipRecursive approach |
| spellingShingle | Hameed Ullah Dianchen Lu Abdul Majeed Siddiqui Khadija Maqbool Shaukat Iqbal Fluid model using recursive approach: Application to permeable slit with uniform reabsorption and velocity slip Results in Physics LPTT fluid Creeping flow Uniform reabsorption Velocity slip Recursive approach |
| title | Fluid model using recursive approach: Application to permeable slit with uniform reabsorption and velocity slip |
| title_full | Fluid model using recursive approach: Application to permeable slit with uniform reabsorption and velocity slip |
| title_fullStr | Fluid model using recursive approach: Application to permeable slit with uniform reabsorption and velocity slip |
| title_full_unstemmed | Fluid model using recursive approach: Application to permeable slit with uniform reabsorption and velocity slip |
| title_short | Fluid model using recursive approach: Application to permeable slit with uniform reabsorption and velocity slip |
| title_sort | fluid model using recursive approach application to permeable slit with uniform reabsorption and velocity slip |
| topic | LPTT fluid Creeping flow Uniform reabsorption Velocity slip Recursive approach |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721003430 |
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