Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries
In this manuscript we present the influence of cross diffusions on incompressible natural convection laminar flow between concentric cylinders with slip and convective boundaries. In addition, the first order chemical reaction is also considered. The governing equations with boundary conditions are...
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EJAAM
2020-12-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2020/10.2478-ejaam-2020-0005.pdf |
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| author | Kolla Kaladhar Eerala Komuraiah Kothakapu Madhusudhan Reddy |
| author_facet | Kolla Kaladhar Eerala Komuraiah Kothakapu Madhusudhan Reddy |
| author_sort | Kolla Kaladhar |
| collection | DOAJ |
| description | In this manuscript we present the influence of cross diffusions on incompressible natural convection laminar flow between concentric cylinders with slip and convective boundaries. In addition, the first order chemical reaction is also considered. The governing equations with boundary conditions are transformed to a non - dimensional form with suitable transformations. Homotopy Analysis Method (HAM) is used to solve the system of equations. The influence of the various parameters like Slip, Dufour, Soret, chemical reaction parameters and the Biot number on velocity, temperature and concentration are investigated and presented through plots. It is found from this study that the influence of slip parameter and Biot number, the velocity and temperature profiles increase, while there is a reverse tendency under the effect of chemical reaction parameter. |
| format | Article |
| id | doaj-art-e70cfaaee1564dfe93d3b4abb7ea89bb |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2020-12-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-e70cfaaee1564dfe93d3b4abb7ea89bb2025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902020-12-01202010.2478/ejaam-2020-0005Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundariesKolla Kaladhar0Eerala Komuraiah1Kothakapu Madhusudhan Reddy2Department of Mathematics, National Institute of Technology Warangal, IndiaDepartment of Mathematics, National Institute of Technology Puducherry, IndiaDepartment of Mathematics, National Institute of Technology Puducherry, IndiaIn this manuscript we present the influence of cross diffusions on incompressible natural convection laminar flow between concentric cylinders with slip and convective boundaries. In addition, the first order chemical reaction is also considered. The governing equations with boundary conditions are transformed to a non - dimensional form with suitable transformations. Homotopy Analysis Method (HAM) is used to solve the system of equations. The influence of the various parameters like Slip, Dufour, Soret, chemical reaction parameters and the Biot number on velocity, temperature and concentration are investigated and presented through plots. It is found from this study that the influence of slip parameter and Biot number, the velocity and temperature profiles increase, while there is a reverse tendency under the effect of chemical reaction parameter.https://ejaam.org/articles/2020/10.2478-ejaam-2020-0005.pdffree convectionnavier slipchemical reactioncross diffusion effectsconvective boundaryham |
| spellingShingle | Kolla Kaladhar Eerala Komuraiah Kothakapu Madhusudhan Reddy Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries E-Journal of Analysis and Applied Mathematics free convection navier slip chemical reaction cross diffusion effects convective boundary ham |
| title | Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries |
| title_full | Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries |
| title_fullStr | Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries |
| title_full_unstemmed | Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries |
| title_short | Influence of cross diffusions on natural convection flow through annulus region with Navier slip and convective boundaries |
| title_sort | influence of cross diffusions on natural convection flow through annulus region with navier slip and convective boundaries |
| topic | free convection navier slip chemical reaction cross diffusion effects convective boundary ham |
| url | https://ejaam.org/articles/2020/10.2478-ejaam-2020-0005.pdf |
| work_keys_str_mv | AT kollakaladhar influenceofcrossdiffusionsonnaturalconvectionflowthroughannulusregionwithnavierslipandconvectiveboundaries AT eeralakomuraiah influenceofcrossdiffusionsonnaturalconvectionflowthroughannulusregionwithnavierslipandconvectiveboundaries AT kothakapumadhusudhanreddy influenceofcrossdiffusionsonnaturalconvectionflowthroughannulusregionwithnavierslipandconvectiveboundaries |