Heat transfer over a steady stretching surface in the presence of suction
Abstract The purpose of this paper is to present the Cattaneo–Christov heat flux model for Maxwell fluid past a stretching surface where the presence of suction/injection is taken into account. The governing system of equations is reduced to the ordinary differential equations with the boundary cond...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-08-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1019-6 |
| _version_ | 1811286933518680064 |
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| author | Zailan Siri Nor Artisham Che Ghani Ruhaila Md. Kasmani |
| author_facet | Zailan Siri Nor Artisham Che Ghani Ruhaila Md. Kasmani |
| author_sort | Zailan Siri |
| collection | DOAJ |
| description | Abstract The purpose of this paper is to present the Cattaneo–Christov heat flux model for Maxwell fluid past a stretching surface where the presence of suction/injection is taken into account. The governing system of equations is reduced to the ordinary differential equations with the boundary conditions by similarity transformation. These equations are then solved numerically by two approaches, Haar wavelet quasilinearization method (HWQM) and Runge–Kutta–Gill method (RK Gill). The behavior of various pertinent parameters on velocity and temperature distributions is analyzed and discussed. Comparison of the obtained numerical results is made between both methods and with the existing numerical solutions found in the literature, and reasonable agreement is noted. |
| first_indexed | 2024-04-13T03:08:45Z |
| format | Article |
| id | doaj.art-75339598c9f84201bab2c5b5ce466f15 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-13T03:08:45Z |
| publishDate | 2018-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-75339598c9f84201bab2c5b5ce466f152022-12-22T03:05:08ZengSpringerOpenBoundary Value Problems1687-27702018-08-012018111610.1186/s13661-018-1019-6Heat transfer over a steady stretching surface in the presence of suctionZailan Siri0Nor Artisham Che Ghani1Ruhaila Md. Kasmani2Institute of Mathematical Sciences, Faculty of Science, University of MalayaInstitute of Mathematical Sciences, Faculty of Science, University of MalayaMathematics Division, Centre for Foundation Studies in Science, University of MalayaAbstract The purpose of this paper is to present the Cattaneo–Christov heat flux model for Maxwell fluid past a stretching surface where the presence of suction/injection is taken into account. The governing system of equations is reduced to the ordinary differential equations with the boundary conditions by similarity transformation. These equations are then solved numerically by two approaches, Haar wavelet quasilinearization method (HWQM) and Runge–Kutta–Gill method (RK Gill). The behavior of various pertinent parameters on velocity and temperature distributions is analyzed and discussed. Comparison of the obtained numerical results is made between both methods and with the existing numerical solutions found in the literature, and reasonable agreement is noted.http://link.springer.com/article/10.1186/s13661-018-1019-6Cattaneo–Christov heat fluxMaxwell fluidHaar wavelet quasilinearization methodRunge–Kutta–Gill methodSuction/injection |
| spellingShingle | Zailan Siri Nor Artisham Che Ghani Ruhaila Md. Kasmani Heat transfer over a steady stretching surface in the presence of suction Boundary Value Problems Cattaneo–Christov heat flux Maxwell fluid Haar wavelet quasilinearization method Runge–Kutta–Gill method Suction/injection |
| title | Heat transfer over a steady stretching surface in the presence of suction |
| title_full | Heat transfer over a steady stretching surface in the presence of suction |
| title_fullStr | Heat transfer over a steady stretching surface in the presence of suction |
| title_full_unstemmed | Heat transfer over a steady stretching surface in the presence of suction |
| title_short | Heat transfer over a steady stretching surface in the presence of suction |
| title_sort | heat transfer over a steady stretching surface in the presence of suction |
| topic | Cattaneo–Christov heat flux Maxwell fluid Haar wavelet quasilinearization method Runge–Kutta–Gill method Suction/injection |
| url | http://link.springer.com/article/10.1186/s13661-018-1019-6 |
| work_keys_str_mv | AT zailansiri heattransferoverasteadystretchingsurfaceinthepresenceofsuction AT norartishamcheghani heattransferoverasteadystretchingsurfaceinthepresenceofsuction AT ruhailamdkasmani heattransferoverasteadystretchingsurfaceinthepresenceofsuction |