Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties
Abstract Stretched flows have numerous applications in different industrial, biomedical and engineering processes. Current research is conducted to examine the flow phenomenon of Prandtl fluid model over a moveable surface. The phenomenon of mass and thermal transportation is based on generalized th...
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| Format: | Article |
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Nature Portfolio
2021-09-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-97420-2 |
| _version_ | 1818751614164402176 |
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| author | Umar Nazir Muhammad Sohail Umair Ali El-Sayed M. Sherif Choonkil Park Jung Rye Lee Mahmoud M. Selim Phatiphat Thounthong |
| author_facet | Umar Nazir Muhammad Sohail Umair Ali El-Sayed M. Sherif Choonkil Park Jung Rye Lee Mahmoud M. Selim Phatiphat Thounthong |
| author_sort | Umar Nazir |
| collection | DOAJ |
| description | Abstract Stretched flows have numerous applications in different industrial, biomedical and engineering processes. Current research is conducted to examine the flow phenomenon of Prandtl fluid model over a moveable surface. The phenomenon of mass and thermal transportation is based on generalized theory of Cattaneo–Christov which considers the involvement of relaxation times. In addition to these, variable characteristics of thermal conductivity and diffusion coefficient are considered as a function of temperature. The physical problem in Cartesian coordinate system is modeled via boundary layer theory which yields a coupled system of partial differential equations. Group scaling transportation is applied to model these PDEs system. The converted equations have been approximated via optimal homotopic scheme. The efficiency and validity of used approach has been shown by computing the error analysis and establishing a comparative study. It is noted that the enhancement in magnetic parameter plays a controlling role for velocity field and it augment the concentration and temperature fields. Furthermore, increase in thermal relaxation parameter and Prandtl number maintains the fluid temperature. |
| first_indexed | 2024-12-18T04:38:22Z |
| format | Article |
| id | doaj.art-3519c89c14b242b98b8bb22f101a6c06 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-18T04:38:22Z |
| publishDate | 2021-09-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-3519c89c14b242b98b8bb22f101a6c062022-12-21T21:20:47ZengNature PortfolioScientific Reports2045-23222021-09-0111111310.1038/s41598-021-97420-2Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable propertiesUmar Nazir0Muhammad Sohail1Umair Ali2El-Sayed M. Sherif3Choonkil Park4Jung Rye Lee5Mahmoud M. Selim6Phatiphat Thounthong7Department of Applied Mathematics and Statistics, Institute of Space TechnologyDepartment of Applied Mathematics and Statistics, Institute of Space TechnologyDepartment of Applied Mathematics and Statistics, Institute of Space TechnologyMechanical Engineering Department, College of Engineering, King Saud UniversityResearch Institute for Natural Sciences, Hanyang UniversityDepartment of Data Science, Daejin UniversityDepartment of Mathematics, Al-Aflaj College of Science and Humanities Studies, Prince Sattam Bin Abdulaziz UniversityDepartment of Teacher Training in Electrical Engineering, Faculty of Technical Education, Renewable Energy Research Centre, King Mongkut’s University of Technology North BangkokAbstract Stretched flows have numerous applications in different industrial, biomedical and engineering processes. Current research is conducted to examine the flow phenomenon of Prandtl fluid model over a moveable surface. The phenomenon of mass and thermal transportation is based on generalized theory of Cattaneo–Christov which considers the involvement of relaxation times. In addition to these, variable characteristics of thermal conductivity and diffusion coefficient are considered as a function of temperature. The physical problem in Cartesian coordinate system is modeled via boundary layer theory which yields a coupled system of partial differential equations. Group scaling transportation is applied to model these PDEs system. The converted equations have been approximated via optimal homotopic scheme. The efficiency and validity of used approach has been shown by computing the error analysis and establishing a comparative study. It is noted that the enhancement in magnetic parameter plays a controlling role for velocity field and it augment the concentration and temperature fields. Furthermore, increase in thermal relaxation parameter and Prandtl number maintains the fluid temperature.https://doi.org/10.1038/s41598-021-97420-2 |
| spellingShingle | Umar Nazir Muhammad Sohail Umair Ali El-Sayed M. Sherif Choonkil Park Jung Rye Lee Mahmoud M. Selim Phatiphat Thounthong Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties Scientific Reports |
| title | Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
| title_full | Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
| title_fullStr | Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
| title_full_unstemmed | Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
| title_short | Applications of Cattaneo–Christov fluxes on modelling the boundary value problem of Prandtl fluid comprising variable properties |
| title_sort | applications of cattaneo christov fluxes on modelling the boundary value problem of prandtl fluid comprising variable properties |
| url | https://doi.org/10.1038/s41598-021-97420-2 |
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