Hydrodynamical Study of Creeping Maxwell Fluid Flow through a Porous Slit with Uniform Reabsorption and Wall Slip
The present theoretical study investigates the influence of velocity slip characteristics on the plane steady two-dimensional incompressible creeping Maxwell fluid flow passing through a porous slit with uniform reabsorption. This two-dimensional flow phenomenon is governed by the mathematical model...
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MDPI AG
2020-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/10/1852 |
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| author | Hameed Ullah Dianchen Lu Abdul Majeed Siddiqui Tahira Haroon Khadija Maqbool |
| author_facet | Hameed Ullah Dianchen Lu Abdul Majeed Siddiqui Tahira Haroon Khadija Maqbool |
| author_sort | Hameed Ullah |
| collection | DOAJ |
| description | The present theoretical study investigates the influence of velocity slip characteristics on the plane steady two-dimensional incompressible creeping Maxwell fluid flow passing through a porous slit with uniform reabsorption. This two-dimensional flow phenomenon is governed by the mathematical model having nonlinear partial differential equations together with non-homogeneous boundary conditions. An analytical technique, namely the recursive approach, is used successfully to find the solutions of the problem. The explicit expressions for stream function, velocity components, pressure distribution, wall shear stress and normal stress difference have been derived. The axial flow rate, leakage flux and fractional reabsorption are also found out. The points of maximum velocity are identified. Non-dimensionalization is carried out and graphs are portrayed at different positions of the channel to show the impact of pertinent parameters: slip parameter, Maxwell fluid parameter and absorption parameter, on flow variables and found that the fluid velocity is affected significantly due to these parameters. This study provides a mathematical basis to understand the physical phenomenon for fluid flows through permeable boundaries which exists in different problems like gaseous diffusion, filtration and biological mechanisms. |
| first_indexed | 2024-03-10T15:27:29Z |
| format | Article |
| id | doaj.art-53982449d2b24c0c8ff0b55655bff488 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T15:27:29Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj.art-53982449d2b24c0c8ff0b55655bff4882023-11-20T17:52:52ZengMDPI AGMathematics2227-73902020-10-01810185210.3390/math8101852Hydrodynamical Study of Creeping Maxwell Fluid Flow through a Porous Slit with Uniform Reabsorption and Wall SlipHameed Ullah0Dianchen Lu1Abdul Majeed Siddiqui2Tahira Haroon3Khadija Maqbool4Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, ChinaDepartment of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USADepartment of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USADepartment of Mathematics and Statistics, International Islamic University, Islamabad 45320, PakistanThe present theoretical study investigates the influence of velocity slip characteristics on the plane steady two-dimensional incompressible creeping Maxwell fluid flow passing through a porous slit with uniform reabsorption. This two-dimensional flow phenomenon is governed by the mathematical model having nonlinear partial differential equations together with non-homogeneous boundary conditions. An analytical technique, namely the recursive approach, is used successfully to find the solutions of the problem. The explicit expressions for stream function, velocity components, pressure distribution, wall shear stress and normal stress difference have been derived. The axial flow rate, leakage flux and fractional reabsorption are also found out. The points of maximum velocity are identified. Non-dimensionalization is carried out and graphs are portrayed at different positions of the channel to show the impact of pertinent parameters: slip parameter, Maxwell fluid parameter and absorption parameter, on flow variables and found that the fluid velocity is affected significantly due to these parameters. This study provides a mathematical basis to understand the physical phenomenon for fluid flows through permeable boundaries which exists in different problems like gaseous diffusion, filtration and biological mechanisms.https://www.mdpi.com/2227-7390/8/10/1852creeping Maxwell fluiduniform reabsorptionpermeable slitslip conditionrecursive approach |
| spellingShingle | Hameed Ullah Dianchen Lu Abdul Majeed Siddiqui Tahira Haroon Khadija Maqbool Hydrodynamical Study of Creeping Maxwell Fluid Flow through a Porous Slit with Uniform Reabsorption and Wall Slip Mathematics creeping Maxwell fluid uniform reabsorption permeable slit slip condition recursive approach |
| title | Hydrodynamical Study of Creeping Maxwell Fluid Flow through a Porous Slit with Uniform Reabsorption and Wall Slip |
| title_full | Hydrodynamical Study of Creeping Maxwell Fluid Flow through a Porous Slit with Uniform Reabsorption and Wall Slip |
| title_fullStr | Hydrodynamical Study of Creeping Maxwell Fluid Flow through a Porous Slit with Uniform Reabsorption and Wall Slip |
| title_full_unstemmed | Hydrodynamical Study of Creeping Maxwell Fluid Flow through a Porous Slit with Uniform Reabsorption and Wall Slip |
| title_short | Hydrodynamical Study of Creeping Maxwell Fluid Flow through a Porous Slit with Uniform Reabsorption and Wall Slip |
| title_sort | hydrodynamical study of creeping maxwell fluid flow through a porous slit with uniform reabsorption and wall slip |
| topic | creeping Maxwell fluid uniform reabsorption permeable slit slip condition recursive approach |
| url | https://www.mdpi.com/2227-7390/8/10/1852 |
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