Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowing
This paper analytically investigates the flow as well as the chemically reactive solute transfer problem in a viscous fluid. The motion equations are reduced to a nonlinear ordinary differential equations system using the similarity transformations. The obtained nonlinear differential system is for...
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De Gruyter
2018-08-01
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Series: | Open Engineering |
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Online Access: | https://doi.org/10.1515/eng-2018-0027 |
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author | Ene Remus-Daniel Bordeaşu Ilare Negrea Romeo Iosif |
author_facet | Ene Remus-Daniel Bordeaşu Ilare Negrea Romeo Iosif |
author_sort | Ene Remus-Daniel |
collection | DOAJ |
description | This paper analytically investigates the flow as well as the chemically reactive solute transfer problem in a viscous fluid. The motion equations are reduced to a nonlinear ordinary differential equations system using the similarity transformations. The obtained nonlinear differential system is for the first time approximately solved by means of the Optimal Homotopy Asymptotic Method (OHAM). The effects of the partial slip and suction/blowing parameters are analytically analyzed. Some examples are given; the obtained results provides us with a good agreement with the numerical results and reveal that our procedure is effective, accurate and easy to use. |
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id | doaj.art-4bcbac9dc6e64ed395b4899f8646bb1a |
institution | Directory Open Access Journal |
issn | 2391-5439 |
language | English |
last_indexed | 2024-12-17T12:10:08Z |
publishDate | 2018-08-01 |
publisher | De Gruyter |
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spelling | doaj.art-4bcbac9dc6e64ed395b4899f8646bb1a2022-12-21T21:49:27ZengDe GruyterOpen Engineering2391-54392018-08-018122724210.1515/eng-2018-0027eng-2018-0027Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowingEne Remus-Daniel0Bordeaşu Ilare1Negrea Romeo Iosif2University Politehnica Timişoara, Department of Mathematics, 300006, Timişoara, RomaniaUniversity Politehnica Timişoara, Department of Hydraulic Machines, 300222, Timişoara, RomaniaUniversity Politehnica Timişoara, Department of Mathematics, 300006, Timişoara, RomaniaThis paper analytically investigates the flow as well as the chemically reactive solute transfer problem in a viscous fluid. The motion equations are reduced to a nonlinear ordinary differential equations system using the similarity transformations. The obtained nonlinear differential system is for the first time approximately solved by means of the Optimal Homotopy Asymptotic Method (OHAM). The effects of the partial slip and suction/blowing parameters are analytically analyzed. Some examples are given; the obtained results provides us with a good agreement with the numerical results and reveal that our procedure is effective, accurate and easy to use.https://doi.org/10.1515/eng-2018-0027chemically reactive solutevelocity slipboundary layer flowexponential stretching sheetoptimal homotopy asymptotic method47.70.fw47.50.-d02.60.-x47.11.-j |
spellingShingle | Ene Remus-Daniel Bordeaşu Ilare Negrea Romeo Iosif Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowing Open Engineering chemically reactive solute velocity slip boundary layer flow exponential stretching sheet optimal homotopy asymptotic method 47.70.fw 47.50.-d 02.60.-x 47.11.-j |
title | Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowing |
title_full | Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowing |
title_fullStr | Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowing |
title_full_unstemmed | Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowing |
title_short | Analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction/blowing |
title_sort | analytic approximate solutions to the chemically reactive solute transfer problem with partial slip in the flow of a viscous fluid over an exponentially stretching sheet with suction blowing |
topic | chemically reactive solute velocity slip boundary layer flow exponential stretching sheet optimal homotopy asymptotic method 47.70.fw 47.50.-d 02.60.-x 47.11.-j |
url | https://doi.org/10.1515/eng-2018-0027 |
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