Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids
In this paper, analytic approximation to the heat and mass transfer characteristics of a two-dimensional time-dependent flow of Williamson nanofluids over a permeable stretching sheet embedded in a porous medium has been presented by considering the effects of magnetic field, thermal radiation, and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/1890972 |
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| _version_ | 1849307992334270464 |
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| author | Tesfaye Kebede Eshetu Haile Gurju Awgichew Tadesse Walelign |
| author_facet | Tesfaye Kebede Eshetu Haile Gurju Awgichew Tadesse Walelign |
| author_sort | Tesfaye Kebede |
| collection | DOAJ |
| description | In this paper, analytic approximation to the heat and mass transfer characteristics of a two-dimensional time-dependent flow of Williamson nanofluids over a permeable stretching sheet embedded in a porous medium has been presented by considering the effects of magnetic field, thermal radiation, and chemical reaction. The governing partial differential equations along with the boundary conditions were reduced to dimensionless forms by using suitable similarity transformation. The resulting system of ordinary differential equations with the corresponding boundary conditions was solved via the homotopy analysis method. The results of the study show that velocity, temperature, and concentration boundary layer thicknesses generally decrease as we move away from the surface of the stretching sheet and the Williamson parameter was found to retard the velocity but it enhances the temperature and concentration profiles near the surface. It was also found that increasing magnetic field strength, thermal radiation, or rate of chemical reaction speeds up the mass transfer but slows down the heat transfer rates in the boundary layer. The results of this study were compared with some previously published works under some restrictions, and they are found in excellent agreement. |
| format | Article |
| id | doaj-art-1fb024c1b4ab496db550bdc0e2b7c4fc |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1fb024c1b4ab496db550bdc0e2b7c4fc2025-08-20T03:54:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422020-01-01202010.1155/2020/18909721890972Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson NanofluidsTesfaye Kebede0Eshetu Haile1Gurju Awgichew2Tadesse Walelign3Department of Mathematics, Bahir Dar University, P.O. Box 79, Bahir Dar, EthiopiaDepartment of Mathematics, Bahir Dar University, P.O. Box 79, Bahir Dar, EthiopiaDepartment of Mathematics, Bahir Dar University, P.O. Box 79, Bahir Dar, EthiopiaDepartment of Mathematics, Bahir Dar University, P.O. Box 79, Bahir Dar, EthiopiaIn this paper, analytic approximation to the heat and mass transfer characteristics of a two-dimensional time-dependent flow of Williamson nanofluids over a permeable stretching sheet embedded in a porous medium has been presented by considering the effects of magnetic field, thermal radiation, and chemical reaction. The governing partial differential equations along with the boundary conditions were reduced to dimensionless forms by using suitable similarity transformation. The resulting system of ordinary differential equations with the corresponding boundary conditions was solved via the homotopy analysis method. The results of the study show that velocity, temperature, and concentration boundary layer thicknesses generally decrease as we move away from the surface of the stretching sheet and the Williamson parameter was found to retard the velocity but it enhances the temperature and concentration profiles near the surface. It was also found that increasing magnetic field strength, thermal radiation, or rate of chemical reaction speeds up the mass transfer but slows down the heat transfer rates in the boundary layer. The results of this study were compared with some previously published works under some restrictions, and they are found in excellent agreement.http://dx.doi.org/10.1155/2020/1890972 |
| spellingShingle | Tesfaye Kebede Eshetu Haile Gurju Awgichew Tadesse Walelign Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids Journal of Applied Mathematics |
| title | Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids |
| title_full | Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids |
| title_fullStr | Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids |
| title_full_unstemmed | Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids |
| title_short | Heat and Mass Transfer in Unsteady Boundary Layer Flow of Williamson Nanofluids |
| title_sort | heat and mass transfer in unsteady boundary layer flow of williamson nanofluids |
| url | http://dx.doi.org/10.1155/2020/1890972 |
| work_keys_str_mv | AT tesfayekebede heatandmasstransferinunsteadyboundarylayerflowofwilliamsonnanofluids AT eshetuhaile heatandmasstransferinunsteadyboundarylayerflowofwilliamsonnanofluids AT gurjuawgichew heatandmasstransferinunsteadyboundarylayerflowofwilliamsonnanofluids AT tadessewalelign heatandmasstransferinunsteadyboundarylayerflowofwilliamsonnanofluids |