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Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid

The exploration of heat transference in relation to fluid flow problems is important especially for non-Newtonian type of fluid. The use of the particular fluid can be found in many industrial applications such as oil and gas industries, automotives and manufacturing processes. Since the experimenta...

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Main Authors: Siti Farah Haryatie, Mohd Kanafiah, Abdul Rahman, Mohd Kasim, Syazwani, Mohd Zokri, Nur Syamilah, Arifin
Format: Article
Language:English
Published: MDPI 2022
Subjects:
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/34732/1/mathematics-10-02023-v2%20%281%29.pdf
http://umpir.ump.edu.my/id/eprint/34732/
https://doi.org/10.3390/math10122023
https://doi.org/10.3390/math10122023
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spelling my.ump.umpir.347322023-08-15T07:36:24Z http://umpir.ump.edu.my/id/eprint/34732/ Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid Siti Farah Haryatie, Mohd Kanafiah Abdul Rahman, Mohd Kasim Syazwani, Mohd Zokri Nur Syamilah, Arifin QA Mathematics The exploration of heat transference in relation to fluid flow problems is important especially for non-Newtonian type of fluid. The use of the particular fluid can be found in many industrial applications such as oil and gas industries, automotives and manufacturing processes. Since the experimental works are costly and high-risk procedures, the mathematical study is proposed to counter the limitations. Therefore, this work aims to study the characteristics of a fluid that combines the properties of viscosity and elasticity, together with the porosity conditions, called the Brinkman–viscoelastic model. The flow is assumed to move over a horizontal circular cylinder (HCC) under consideration of the convective thermal boundary condition. The mathematical model is transformed to the less complex form by utilising a non-dimensionless and non-similarity variable. The resulting equations are in the partial differential equation (PDE) form. Subsequently, the equations are required to be solved by employing the Keller-box method (KBM). The solutions were conveniently evaluated by observing the plotted graphs in order to capture the propensity of the fluid’s behavior in response to the adjusting parameters. The study discovered that the viscoelastic and Brinkman variables had the impact of decreasing the fluid’s velocity and increasing the temperature distribution. Nevertheless, when mixed convection and Biot numbers increased, the velocity profile exhibited the opposite pattern. Furthermore, increasing the Biot number raises the Nusselt number while decreasing the skin friction coefficient. These numerical results are critical for assisting engineers in making heat transfer process decisions and accurately verifying experimental investigations. MDPI 2022 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/34732/1/mathematics-10-02023-v2%20%281%29.pdf Siti Farah Haryatie, Mohd Kanafiah and Abdul Rahman, Mohd Kasim and Syazwani, Mohd Zokri and Nur Syamilah, Arifin (2022) Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid. Mathematics, 10 (12). pp. 1-16. ISSN 2227-7390. (Published) https://doi.org/10.3390/math10122023 https://doi.org/10.3390/math10122023
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Siti Farah Haryatie, Mohd Kanafiah
Abdul Rahman, Mohd Kasim
Syazwani, Mohd Zokri
Nur Syamilah, Arifin
Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid
description The exploration of heat transference in relation to fluid flow problems is important especially for non-Newtonian type of fluid. The use of the particular fluid can be found in many industrial applications such as oil and gas industries, automotives and manufacturing processes. Since the experimental works are costly and high-risk procedures, the mathematical study is proposed to counter the limitations. Therefore, this work aims to study the characteristics of a fluid that combines the properties of viscosity and elasticity, together with the porosity conditions, called the Brinkman–viscoelastic model. The flow is assumed to move over a horizontal circular cylinder (HCC) under consideration of the convective thermal boundary condition. The mathematical model is transformed to the less complex form by utilising a non-dimensionless and non-similarity variable. The resulting equations are in the partial differential equation (PDE) form. Subsequently, the equations are required to be solved by employing the Keller-box method (KBM). The solutions were conveniently evaluated by observing the plotted graphs in order to capture the propensity of the fluid’s behavior in response to the adjusting parameters. The study discovered that the viscoelastic and Brinkman variables had the impact of decreasing the fluid’s velocity and increasing the temperature distribution. Nevertheless, when mixed convection and Biot numbers increased, the velocity profile exhibited the opposite pattern. Furthermore, increasing the Biot number raises the Nusselt number while decreasing the skin friction coefficient. These numerical results are critical for assisting engineers in making heat transfer process decisions and accurately verifying experimental investigations.
format Article
author Siti Farah Haryatie, Mohd Kanafiah
Abdul Rahman, Mohd Kasim
Syazwani, Mohd Zokri
Nur Syamilah, Arifin
author_facet Siti Farah Haryatie, Mohd Kanafiah
Abdul Rahman, Mohd Kasim
Syazwani, Mohd Zokri
Nur Syamilah, Arifin
author_sort Siti Farah Haryatie, Mohd Kanafiah
title Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid
title_short Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid
title_full Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid
title_fullStr Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid
title_full_unstemmed Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid
title_sort non-similarity solutions of non-newtonian brinkman–viscoelastic fluid
publisher MDPI
publishDate 2022
url http://umpir.ump.edu.my/id/eprint/34732/1/mathematics-10-02023-v2%20%281%29.pdf
http://umpir.ump.edu.my/id/eprint/34732/
https://doi.org/10.3390/math10122023
https://doi.org/10.3390/math10122023
_version_ 1775622230633349120
score 13.211869

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