Integral Transform Method to Solve the Problem of Porous Slider without Velocity Slip
This study is about the lubrication of a long porous slider in which the fluid is injected into the porous bottom. The similarity transformation reduces the Navier-Stokes equations to couple nonlinear, ordinary differential equations, which are solved by a new algorithm. The proposed technique is ba...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-06-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/6/791 |
| _version_ | 1811305390826061824 |
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| author | Naeem Faraz Yasir Khan Dian Chen Lu Marjan Goodarzi |
| author_facet | Naeem Faraz Yasir Khan Dian Chen Lu Marjan Goodarzi |
| author_sort | Naeem Faraz |
| collection | DOAJ |
| description | This study is about the lubrication of a long porous slider in which the fluid is injected into the porous bottom. The similarity transformation reduces the Navier-Stokes equations to couple nonlinear, ordinary differential equations, which are solved by a new algorithm. The proposed technique is based on integral transformation. Apparently, there is <b>great symmetry</b> between proposed method and variation iteration method, Adomian decomposition method but in integral transform method all the boundary conditions are applied, then a recursive scheme is used for the analytical solutions, which is unlike the Variational Iteration Method, Adomian Decomposition Method, and other existing analytical methods. Solutions are obtained for much larger Reynolds numbers, and they are compared with analytical and numerical methods. Effects of Reynolds number on velocity components are presented. |
| first_indexed | 2024-04-13T08:25:39Z |
| format | Article |
| id | doaj.art-63337b6812d9480c8ee5eda00ad70a42 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-13T08:25:39Z |
| publishDate | 2019-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-63337b6812d9480c8ee5eda00ad70a422022-12-22T02:54:30ZengMDPI AGSymmetry2073-89942019-06-0111679110.3390/sym11060791sym11060791Integral Transform Method to Solve the Problem of Porous Slider without Velocity SlipNaeem Faraz0Yasir Khan1Dian Chen Lu2Marjan Goodarzi3International Cultural Exchange School of Donghua University, Shanghai 200051, ChinaDepartment of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 1803, Saudi ArabiaFaculty of Science, Jiangsu University, Zhenjiang 212013, Jiangsu, ChinaSustainable Management of Natural Resources and Environment Research Group, Faculty of Environment and Labour Safety, Ton Duc Thang University, Ho Chi Minh City, VietnamThis study is about the lubrication of a long porous slider in which the fluid is injected into the porous bottom. The similarity transformation reduces the Navier-Stokes equations to couple nonlinear, ordinary differential equations, which are solved by a new algorithm. The proposed technique is based on integral transformation. Apparently, there is <b>great symmetry</b> between proposed method and variation iteration method, Adomian decomposition method but in integral transform method all the boundary conditions are applied, then a recursive scheme is used for the analytical solutions, which is unlike the Variational Iteration Method, Adomian Decomposition Method, and other existing analytical methods. Solutions are obtained for much larger Reynolds numbers, and they are compared with analytical and numerical methods. Effects of Reynolds number on velocity components are presented.https://www.mdpi.com/2073-8994/11/6/791integral transform methodvariation iteration methodadomian decomposition methodreynolds numberlong porous slider |
| spellingShingle | Naeem Faraz Yasir Khan Dian Chen Lu Marjan Goodarzi Integral Transform Method to Solve the Problem of Porous Slider without Velocity Slip Symmetry integral transform method variation iteration method adomian decomposition method reynolds number long porous slider |
| title | Integral Transform Method to Solve the Problem of Porous Slider without Velocity Slip |
| title_full | Integral Transform Method to Solve the Problem of Porous Slider without Velocity Slip |
| title_fullStr | Integral Transform Method to Solve the Problem of Porous Slider without Velocity Slip |
| title_full_unstemmed | Integral Transform Method to Solve the Problem of Porous Slider without Velocity Slip |
| title_short | Integral Transform Method to Solve the Problem of Porous Slider without Velocity Slip |
| title_sort | integral transform method to solve the problem of porous slider without velocity slip |
| topic | integral transform method variation iteration method adomian decomposition method reynolds number long porous slider |
| url | https://www.mdpi.com/2073-8994/11/6/791 |
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