Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel
Exact general solutions for the dynamics of an incompressible viscous fluid with non-integer order derivative without singular kernel are established using the integral transforms. These solutions, which are organized in simple forms in terms of exponential and trigonometric functions, can be conven...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-09-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001681630196X |
| _version_ | 1819105722154090496 |
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| author | A.A. Zafar C. Fetecau |
| author_facet | A.A. Zafar C. Fetecau |
| author_sort | A.A. Zafar |
| collection | DOAJ |
| description | Exact general solutions for the dynamics of an incompressible viscous fluid with non-integer order derivative without singular kernel are established using the integral transforms. These solutions, which are organized in simple forms in terms of exponential and trigonometric functions, can be conveniently engaged to obtain known solutions from the literature. The control of the new non-integer order derivative on the velocity of the fluid moreover a comparative study with an older model, is analyzed for some flows with practical applications. The non-integer order derivative with non-singular kernel is more appropriate for handling mathematical calculations of obtained solutions. It is also more reliable for numerical computations. |
| first_indexed | 2024-12-22T02:26:46Z |
| format | Article |
| id | doaj.art-d5f32545e30f4ab7895361aea7d7a120 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-22T02:26:46Z |
| publishDate | 2016-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-d5f32545e30f4ab7895361aea7d7a1202022-12-21T18:41:59ZengElsevierAlexandria Engineering Journal1110-01682016-09-015532789279610.1016/j.aej.2016.07.022Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernelA.A. Zafar0C. Fetecau1Abdus Salam School of Mathematical Sciences, Government College University Lahore, Lahore 54000, PakistanAcademy of Romanian Scientists, Bucuresti 050094, RomaniaExact general solutions for the dynamics of an incompressible viscous fluid with non-integer order derivative without singular kernel are established using the integral transforms. These solutions, which are organized in simple forms in terms of exponential and trigonometric functions, can be conveniently engaged to obtain known solutions from the literature. The control of the new non-integer order derivative on the velocity of the fluid moreover a comparative study with an older model, is analyzed for some flows with practical applications. The non-integer order derivative with non-singular kernel is more appropriate for handling mathematical calculations of obtained solutions. It is also more reliable for numerical computations.http://www.sciencedirect.com/science/article/pii/S111001681630196XNon-integer orderViscous fluidSmooth kernel |
| spellingShingle | A.A. Zafar C. Fetecau Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel Alexandria Engineering Journal Non-integer order Viscous fluid Smooth kernel |
| title | Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel |
| title_full | Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel |
| title_fullStr | Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel |
| title_full_unstemmed | Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel |
| title_short | Flow over an infinite plate of a viscous fluid with non-integer order derivative without singular kernel |
| title_sort | flow over an infinite plate of a viscous fluid with non integer order derivative without singular kernel |
| topic | Non-integer order Viscous fluid Smooth kernel |
| url | http://www.sciencedirect.com/science/article/pii/S111001681630196X |
| work_keys_str_mv | AT aazafar flowoveraninfiniteplateofaviscousfluidwithnonintegerorderderivativewithoutsingularkernel AT cfetecau flowoveraninfiniteplateofaviscousfluidwithnonintegerorderderivativewithoutsingularkernel |