Third‐Grade fluid flow over a stretching sheet under Lorentz force and thermal radiation: Parametric continuation algorithm
In the current analysis, the energy and mass transmission subject to Lorentz force and thermal radiation through the third‐grade fluid across a stretching inclined sheet is considered. The thermal radiation, heat source, and magnetic impact are also applied to the fluid flow. The flow equations are...
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| Published in | Journal of Radiation Research and Applied Sciences Vol. 18; no. 4; p. 101880 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
01.12.2025
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| Abstract | In the current analysis, the energy and mass transmission subject to Lorentz force and thermal radiation through the third‐grade fluid across a stretching inclined sheet is considered. The thermal radiation, heat source, and magnetic impact are also applied to the fluid flow. The flow equations are reformulated into the non-dimensional form of ODEs using the similarity transformations. The lowest order of ODEs is solved through the PCM (parametric continuation method) by using Matlab software. For the validity of the results, the outcomes are compared to published studies. The relative percent error between the present calculation and the published is 0.00537 % at Pr = 10 (Prandtl number), which reveals that the present results are accurate. The nature of the flow constraints on the physical interest quantities, skin friction, velocity, and energy fields are displayed via Figures. For the validity of the results, for particular cases, the results are compared to the published study. It has been observed that the velocity field enhances for the intensifying values of the third-grade fluid parameter. The effect of the magnetic term and the permeability factor reduces the fluid velocity. The radiation effect and the heat source elevate the temperature field. The energy transfer rate enhances up to 15.46340 % by raising the buoyancy impact from 0.3 to 0.9, whereas the flow rate declines up to −12.4772 %. |
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| AbstractList | In the current analysis, the energy and mass transmission subject to Lorentz force and thermal radiation through the third‐grade fluid across a stretching inclined sheet is considered. The thermal radiation, heat source, and magnetic impact are also applied to the fluid flow. The flow equations are reformulated into the non-dimensional form of ODEs using the similarity transformations. The lowest order of ODEs is solved through the PCM (parametric continuation method) by using Matlab software. For the validity of the results, the outcomes are compared to published studies. The relative percent error between the present calculation and the published is 0.00537 % at Pr = 10 (Prandtl number), which reveals that the present results are accurate. The nature of the flow constraints on the physical interest quantities, skin friction, velocity, and energy fields are displayed via Figures. For the validity of the results, for particular cases, the results are compared to the published study. It has been observed that the velocity field enhances for the intensifying values of the third-grade fluid parameter. The effect of the magnetic term and the permeability factor reduces the fluid velocity. The radiation effect and the heat source elevate the temperature field. The energy transfer rate enhances up to 15.46340 % by raising the buoyancy impact from 0.3 to 0.9, whereas the flow rate declines up to −12.4772 %. |
| ArticleNumber | 101880 |
| Author | Haldar, Barun Eshchanov, Temur Abbasi, Naveed sarwar Asiri, Fisal Mumtaz, Mohd Aamir Sardor, Sabirov |
| Author_xml | – sequence: 1 givenname: Fisal surname: Asiri fullname: Asiri, Fisal organization: Department of Mathematics, College of Science, Taibah University, Madinah, Saudi Arabia – sequence: 2 givenname: Mohd Aamir surname: Mumtaz fullname: Mumtaz, Mohd Aamir organization: Civil Engineering Department, College of Engineering, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia – sequence: 3 givenname: Naveed sarwar surname: Abbasi fullname: Abbasi, Naveed sarwar email: naveed_geo92@tongji.edu.cn organization: College of Civil Engineering, Tongji University, Shanghai, 200092, PR China – sequence: 4 givenname: Barun surname: Haldar fullname: Haldar, Barun organization: Industrial Engineering Department, College of Engineering, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 11432, Saudi Arabia – sequence: 5 givenname: Temur surname: Eshchanov fullname: Eshchanov, Temur organization: Urgench State University, Department of Technology, Urgench, Uzbekistan – sequence: 6 givenname: Sabirov surname: Sardor fullname: Sardor, Sabirov organization: Department of General Professional Sciences, Mamun University Uzbekistan, Uzbekistan |
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| Issue | 4 |
| Keywords | MHD Darcy–Forchheimer Third‐grade fluid Thermal radiation PCM Stretching sheet |
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| SubjectTerms | Darcy–Forchheimer MHD PCM Stretching sheet Thermal radiation Third‐grade fluid |
| Title | Third‐Grade fluid flow over a stretching sheet under Lorentz force and thermal radiation: Parametric continuation algorithm |
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