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...
| Váldodahkkit: | , , , |
|---|---|
| Materiálatiipa: | Artihkal |
| Giella: | English |
| Almmustuhtton: |
MDPI
2022
|
| Fáttát: | |
| Liŋkkat: | http://umpir.ump.edu.my/id/eprint/34732/1/mathematics-10-02023-v2%20%281%29.pdf |
| _version_ | 1825824090462617600 |
|---|---|
| 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 |
| collection | UMP |
| 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. |
| first_indexed | 2024-03-06T12:58:54Z |
| format | Article |
| id | UMPir34732 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:58:54Z |
| publishDate | 2022 |
| publisher | MDPI |
| record_format | dspace |
| spelling | UMPir347322023-08-15T07:36:24Z 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 |
| 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 |
| title | 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_short | Non-similarity solutions of non-Newtonian Brinkman–viscoelastic fluid |
| title_sort | non similarity solutions of non newtonian brinkman viscoelastic fluid |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/34732/1/mathematics-10-02023-v2%20%281%29.pdf |
| work_keys_str_mv | AT sitifarahharyatiemohdkanafiah nonsimilaritysolutionsofnonnewtonianbrinkmanviscoelasticfluid AT abdulrahmanmohdkasim nonsimilaritysolutionsofnonnewtonianbrinkmanviscoelasticfluid AT syazwanimohdzokri nonsimilaritysolutionsofnonnewtonianbrinkmanviscoelasticfluid AT nursyamilaharifin nonsimilaritysolutionsofnonnewtonianbrinkmanviscoelasticfluid |