A Numerical Study of Coupled Non-Linear Equations of Thermo-Viscous Fluid Flow in Cylindrical Geometry
In this paper we present numerical solutions to coupled non-linear governing equations of thermo-viscous fluid flow in cylindrical geometry using MATHEMATICA software solver. The numerical results are presented in terms of velocity, temperature and pressure distribution for various values of the mat...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2017-12-01
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| Series: | International Journal of Applied Mechanics and Engineering |
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| Online Access: | https://www.ijame-poland.com/A-Numerical-Study-of-Coupled-Non-Linear-Equations-of-Thermo-Viscous-Fluid-Flow-in,167019,0,2.html |
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| author | N. Pothanna P. Aparna R. S. R. Gorla |
| author_facet | N. Pothanna P. Aparna R. S. R. Gorla |
| author_sort | N. Pothanna |
| collection | DOAJ |
| description | In this paper we present numerical solutions to coupled non-linear governing equations of thermo-viscous fluid flow in cylindrical geometry using MATHEMATICA software solver. The numerical results are presented in terms of velocity, temperature and pressure distribution for various values of the material parameters such as the thermo-mechanical stress coefficient, thermal conductivity coefficient, Reiner Rivlin cross viscosity coefficient and the Prandtl number in the form of tables and graphs. Also, the solutions to governing equations for slow steady motion of a fluid have been obtained numerically and compared with the existing analytical results and are found to be in excellent agreement. The results of the present study will hopefully enable a better understanding applications of the flow under consideration. |
| first_indexed | 2024-03-12T16:34:11Z |
| format | Article |
| id | doaj.art-22635c91e2a74d539609dd75d0a3b65b |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:34:11Z |
| publishDate | 2017-12-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-22635c91e2a74d539609dd75d0a3b65b2023-08-08T14:57:45ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032017-12-0122496597910.1515/ijame-2017-0062167019A Numerical Study of Coupled Non-Linear Equations of Thermo-Viscous Fluid Flow in Cylindrical GeometryN. Pothanna0P. Aparna1R. S. R. Gorla2Department of Mathematics VNR Vignana Jyothi Istitute of Engineering and Technology Kukatpally, Hyderabad – 500090, INDIADepartment of Mathematics VNR Vignana Jyothi Istitute of Engineering and Technology Kukatpally, Hyderabad – 500090, INDIADepartment of Mechanical Engineering Cleveland State University Cleveland, Ohio 44115 USAIn this paper we present numerical solutions to coupled non-linear governing equations of thermo-viscous fluid flow in cylindrical geometry using MATHEMATICA software solver. The numerical results are presented in terms of velocity, temperature and pressure distribution for various values of the material parameters such as the thermo-mechanical stress coefficient, thermal conductivity coefficient, Reiner Rivlin cross viscosity coefficient and the Prandtl number in the form of tables and graphs. Also, the solutions to governing equations for slow steady motion of a fluid have been obtained numerically and compared with the existing analytical results and are found to be in excellent agreement. The results of the present study will hopefully enable a better understanding applications of the flow under consideration.https://www.ijame-poland.com/A-Numerical-Study-of-Coupled-Non-Linear-Equations-of-Thermo-Viscous-Fluid-Flow-in,167019,0,2.htmlreiner rivlin cross viscositythermal conductivitythermo-stress viscosityprandtl number |
| spellingShingle | N. Pothanna P. Aparna R. S. R. Gorla A Numerical Study of Coupled Non-Linear Equations of Thermo-Viscous Fluid Flow in Cylindrical Geometry International Journal of Applied Mechanics and Engineering reiner rivlin cross viscosity thermal conductivity thermo-stress viscosity prandtl number |
| title | A Numerical Study of Coupled Non-Linear Equations of Thermo-Viscous Fluid Flow in Cylindrical Geometry |
| title_full | A Numerical Study of Coupled Non-Linear Equations of Thermo-Viscous Fluid Flow in Cylindrical Geometry |
| title_fullStr | A Numerical Study of Coupled Non-Linear Equations of Thermo-Viscous Fluid Flow in Cylindrical Geometry |
| title_full_unstemmed | A Numerical Study of Coupled Non-Linear Equations of Thermo-Viscous Fluid Flow in Cylindrical Geometry |
| title_short | A Numerical Study of Coupled Non-Linear Equations of Thermo-Viscous Fluid Flow in Cylindrical Geometry |
| title_sort | numerical study of coupled non linear equations of thermo viscous fluid flow in cylindrical geometry |
| topic | reiner rivlin cross viscosity thermal conductivity thermo-stress viscosity prandtl number |
| url | https://www.ijame-poland.com/A-Numerical-Study-of-Coupled-Non-Linear-Equations-of-Thermo-Viscous-Fluid-Flow-in,167019,0,2.html |
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