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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Main Authors: Ene Remus-Daniel, Bordeaşu Ilare, Negrea Romeo Iosif
Format: Article
Language:English
Published: De Gruyter 2018-08-01
Series:Open Engineering
Subjects:
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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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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AT bordeasuilare analyticapproximatesolutionstothechemicallyreactivesolutetransferproblemwithpartialslipintheflowofaviscousfluidoveranexponentiallystretchingsheetwithsuctionblowing
AT negrearomeoiosif analyticapproximatesolutionstothechemicallyreactivesolutetransferproblemwithpartialslipintheflowofaviscousfluidoveranexponentiallystretchingsheetwithsuctionblowing