Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects

In the current research, the numerical solutions for heat transfer in an Eyring–Powell fluid that conducts electricity past an exponentially growing sheet with chemical reactions are examined. As the sheet is stretched in the x direction, the flow occupies the region  y>0. MHD, radiation, joule h...

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Main Author: Faisal Salah
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2022/4076426
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author Faisal Salah
author_facet Faisal Salah
author_sort Faisal Salah
collection DOAJ
description In the current research, the numerical solutions for heat transfer in an Eyring–Powell fluid that conducts electricity past an exponentially growing sheet with chemical reactions are examined. As the sheet is stretched in the x direction, the flow occupies the region  y>0. MHD, radiation, joule heating effects, and thermal relaxation time are all used to represent the flow scenario. The emergent problem is represented using PDEs, which are then converted to ODEs using appropriate similarity transformations. The converted problem is solved numerically using the SLM method. The main goal of this paper is to compare the results of solving the velocity and temperature equations in the presence of  K changes through SLM, introducing it as a precise and appropriate method for solving nonlinear differential equations. Tables with the numerical results are created for comparison. This contrast is important because it shows how precisely the successive linearization method can resolve a set of nonlinear differential equations. Following that, the generated solution is studied and explained in relation to a variety of engineering parameters. Additionally, the thermal relaxation period is inversely proportional to the thickness of the thermal boundary layer and the temperature, but the Eckert number Ec is the opposite. As Ec grows, the temperature within the channel increases.
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spelling doaj-art-f95a30d82add4f95870bb8b0d69f9f632025-02-03T01:20:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/4076426Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation EffectsFaisal Salah0King Abdul-Aziz UniversityIn the current research, the numerical solutions for heat transfer in an Eyring–Powell fluid that conducts electricity past an exponentially growing sheet with chemical reactions are examined. As the sheet is stretched in the x direction, the flow occupies the region  y>0. MHD, radiation, joule heating effects, and thermal relaxation time are all used to represent the flow scenario. The emergent problem is represented using PDEs, which are then converted to ODEs using appropriate similarity transformations. The converted problem is solved numerically using the SLM method. The main goal of this paper is to compare the results of solving the velocity and temperature equations in the presence of  K changes through SLM, introducing it as a precise and appropriate method for solving nonlinear differential equations. Tables with the numerical results are created for comparison. This contrast is important because it shows how precisely the successive linearization method can resolve a set of nonlinear differential equations. Following that, the generated solution is studied and explained in relation to a variety of engineering parameters. Additionally, the thermal relaxation period is inversely proportional to the thickness of the thermal boundary layer and the temperature, but the Eckert number Ec is the opposite. As Ec grows, the temperature within the channel increases.http://dx.doi.org/10.1155/2022/4076426
spellingShingle Faisal Salah
Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects
International Journal of Mathematics and Mathematical Sciences
title Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects
title_full Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects
title_fullStr Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects
title_full_unstemmed Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects
title_short Chemical Reaction and Generalized Heat Flux Model for Powell–Eyring Model with Radiation Effects
title_sort chemical reaction and generalized heat flux model for powell eyring model with radiation effects
url http://dx.doi.org/10.1155/2022/4076426
work_keys_str_mv AT faisalsalah chemicalreactionandgeneralizedheatfluxmodelforpowelleyringmodelwithradiationeffects