Joule heating and viscous dissipation effects in hydromagnetized boundary layer flow with variable temperature
By taking variable temperature, we consider an MHD boundary layer flow past a flat plate with radiation, joule heating, and viscous dissipation effects. The suitable similarity transformation is used to obtain ODEs from governing non-linear coupled PDEs, which are solved by the engaging shooting met...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-07-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X2200329X |
| _version_ | 1811234426901757952 |
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| author | Tahir Naseem Urooj Fatima Mohammad Munir Azeem Shahzad Nasreen Kausar Kottakkaran Sooppy Nisar C. Ahamed Saleel Mohamed Abbas |
| author_facet | Tahir Naseem Urooj Fatima Mohammad Munir Azeem Shahzad Nasreen Kausar Kottakkaran Sooppy Nisar C. Ahamed Saleel Mohamed Abbas |
| author_sort | Tahir Naseem |
| collection | DOAJ |
| description | By taking variable temperature, we consider an MHD boundary layer flow past a flat plate with radiation, joule heating, and viscous dissipation effects. The suitable similarity transformation is used to obtain ODEs from governing non-linear coupled PDEs, which are solved by the engaging shooting method. The mechanical energy is converted to thermal energy due to addition of dissipation; the temperature variations in the fluid and their characteristics are investigated. On a two-dimensional flow, the impacts of the temperature power coefficient (n), Prandtl (Pr) and Eckert numbers (Ec), and the magnetic parameter (M), are graphically presented. The rate of heat transfer is calculated for different parameters and presented in the form of tables. It is found that as the Eckert number grows, the temperature profile increases, and as the Prandtl number increases, the temperature profile reduces. |
| first_indexed | 2024-04-12T11:36:04Z |
| format | Article |
| id | doaj.art-1bea1483a21a4a5b83b29b64f1d9b6b2 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-04-12T11:36:04Z |
| publishDate | 2022-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-1bea1483a21a4a5b83b29b64f1d9b6b22022-12-22T03:34:49ZengElsevierCase Studies in Thermal Engineering2214-157X2022-07-0135102083Joule heating and viscous dissipation effects in hydromagnetized boundary layer flow with variable temperatureTahir Naseem0Urooj Fatima1Mohammad Munir2Azeem Shahzad3Nasreen Kausar4Kottakkaran Sooppy Nisar5C. Ahamed Saleel6Mohamed Abbas7Basic Sciences Department, University of Engineering and Technology, Taxila, 47050, Pakistan; Department of Mathematics, Government Postgraduate College Haripur, 22620, PakistanDepartment of Mathematics, Government Postgraduate College Haripur, 22620, PakistanDepartment of Mathematics, Government Postgraduate College Abbottabad, 22010, PakistanBasic Sciences Department, University of Engineering and Technology, Taxila, 47050, PakistanDepartment of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Istanbul, TurkeyDepartment of Mathematics, College of Arts and Sciences, Wadi Aldawasir, Prince Sattam bin Abdulaziz University, Saudi Arabia; Corresponding author.Department of Mechanical Engineering, College of Engineering, King Khalid University, Asir-Abha, 61421, Saudi ArabiaElectrical Engineering Department, College of Engineering, King Khalid University, Abha, 61421, Saudi Arabia; Computers and Communications Department, College of Engineering, Delta University for Science and Technology, Gamasa, 35712, EgyptBy taking variable temperature, we consider an MHD boundary layer flow past a flat plate with radiation, joule heating, and viscous dissipation effects. The suitable similarity transformation is used to obtain ODEs from governing non-linear coupled PDEs, which are solved by the engaging shooting method. The mechanical energy is converted to thermal energy due to addition of dissipation; the temperature variations in the fluid and their characteristics are investigated. On a two-dimensional flow, the impacts of the temperature power coefficient (n), Prandtl (Pr) and Eckert numbers (Ec), and the magnetic parameter (M), are graphically presented. The rate of heat transfer is calculated for different parameters and presented in the form of tables. It is found that as the Eckert number grows, the temperature profile increases, and as the Prandtl number increases, the temperature profile reduces.http://www.sciencedirect.com/science/article/pii/S2214157X2200329XMHD Boundary layerViscous dissipationJoule heatingRadiation effectRosseland numberSimilarity transformation |
| spellingShingle | Tahir Naseem Urooj Fatima Mohammad Munir Azeem Shahzad Nasreen Kausar Kottakkaran Sooppy Nisar C. Ahamed Saleel Mohamed Abbas Joule heating and viscous dissipation effects in hydromagnetized boundary layer flow with variable temperature Case Studies in Thermal Engineering MHD Boundary layer Viscous dissipation Joule heating Radiation effect Rosseland number Similarity transformation |
| title | Joule heating and viscous dissipation effects in hydromagnetized boundary layer flow with variable temperature |
| title_full | Joule heating and viscous dissipation effects in hydromagnetized boundary layer flow with variable temperature |
| title_fullStr | Joule heating and viscous dissipation effects in hydromagnetized boundary layer flow with variable temperature |
| title_full_unstemmed | Joule heating and viscous dissipation effects in hydromagnetized boundary layer flow with variable temperature |
| title_short | Joule heating and viscous dissipation effects in hydromagnetized boundary layer flow with variable temperature |
| title_sort | joule heating and viscous dissipation effects in hydromagnetized boundary layer flow with variable temperature |
| topic | MHD Boundary layer Viscous dissipation Joule heating Radiation effect Rosseland number Similarity transformation |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X2200329X |
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