MHD flow over exponential radiating stretching sheet using homotopy analysis method
An analytical solution for MHD boundary layer flow of a viscous incompressible fluid over an exponentially stretching sheet is developed in this study. The effect of thermal radiation is included in the energy equation. Through suitable similarity transformations, the governing equations are tran...
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| Format: | Article |
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Elsevier
2017
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| _version_ | 1825833590620946432 |
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| author | Mabood, Fazle Khan, W.A. Md. Ismail, A.I. |
| author_facet | Mabood, Fazle Khan, W.A. Md. Ismail, A.I. |
| author_sort | Mabood, Fazle |
| collection | USM |
| description | An analytical solution for MHD boundary layer flow of a viscous incompressible fluid
over an exponentially stretching sheet is developed in this study. The effect of thermal radiation
is included in the energy equation. Through suitable similarity transformations, the governing equations
are transformed into a system of nonlinear ordinary differential equations. Homotopy analysis
method (HAM) has been used to get accurate and complete analytic solution. This study
reveals that the governing parameters, namely, the magnetic and the radiation parameters have
major effects on the flow field, skin friction coefficient, and the heat transfer rate. The magnetic field
enhances the dimensionless temperature inside the thermal boundary layer whereas reduces the
dimensionless velocity inside the hydrodynamic boundary layer. Heat transfer rate becomes low
with magnetic and radiation parameters while the friction factor is increased with magnetic field.
Moreover, a comparative study between the previously published and the present results in special
cases is conducted and an excellent agreement is found between them. |
| first_indexed | 2024-03-06T15:10:07Z |
| format | Article |
| id | usm.eprints-37074 |
| institution | Universiti Sains Malaysia |
| last_indexed | 2024-03-06T15:10:07Z |
| publishDate | 2017 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | usm.eprints-370742017-10-11T09:14:52Z http://eprints.usm.my/37074/ MHD flow over exponential radiating stretching sheet using homotopy analysis method Mabood, Fazle Khan, W.A. Md. Ismail, A.I. QA1-939 Mathematics An analytical solution for MHD boundary layer flow of a viscous incompressible fluid over an exponentially stretching sheet is developed in this study. The effect of thermal radiation is included in the energy equation. Through suitable similarity transformations, the governing equations are transformed into a system of nonlinear ordinary differential equations. Homotopy analysis method (HAM) has been used to get accurate and complete analytic solution. This study reveals that the governing parameters, namely, the magnetic and the radiation parameters have major effects on the flow field, skin friction coefficient, and the heat transfer rate. The magnetic field enhances the dimensionless temperature inside the thermal boundary layer whereas reduces the dimensionless velocity inside the hydrodynamic boundary layer. Heat transfer rate becomes low with magnetic and radiation parameters while the friction factor is increased with magnetic field. Moreover, a comparative study between the previously published and the present results in special cases is conducted and an excellent agreement is found between them. Elsevier 2017-01 Article PeerReviewed Mabood, Fazle and Khan, W.A. and Md. Ismail, A.I. (2017) MHD flow over exponential radiating stretching sheet using homotopy analysis method. Journal of King Saud University (Engineering Science), 29 (1). pp. 68-74. ISSN 1018-3639 https://doi.org/10.1016/j.jksues.2014.06.001 |
| spellingShingle | QA1-939 Mathematics Mabood, Fazle Khan, W.A. Md. Ismail, A.I. MHD flow over exponential radiating stretching sheet using homotopy analysis method |
| title | MHD flow over exponential radiating stretching sheet using homotopy analysis method |
| title_full | MHD flow over exponential radiating stretching sheet using homotopy analysis method |
| title_fullStr | MHD flow over exponential radiating stretching sheet using homotopy analysis method |
| title_full_unstemmed | MHD flow over exponential radiating stretching sheet using homotopy analysis method |
| title_short | MHD flow over exponential radiating stretching sheet using homotopy analysis method |
| title_sort | mhd flow over exponential radiating stretching sheet using homotopy analysis method |
| topic | QA1-939 Mathematics |
| work_keys_str_mv | AT maboodfazle mhdflowoverexponentialradiatingstretchingsheetusinghomotopyanalysismethod AT khanwa mhdflowoverexponentialradiatingstretchingsheetusinghomotopyanalysismethod AT mdismailai mhdflowoverexponentialradiatingstretchingsheetusinghomotopyanalysismethod |