Numerical Investigation of the Magnetized Reactive Viscous Couple Stress Fluid Flow Down an Inclined Riga Plate with Variable Viscosity
Accurate determination of optimum flow and heat transfer condition is one of the major challenges faced in the application of magnetic fluid in the field of medicine and engineering, especially when applied as ferrofluids for targeted drug deliveries, treatment of hyperthermia, sealants in computer...
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MDPI AG
2022-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/24/4713 |
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| author | Samuel Olumide Adesanya Tunde Abdulkadir Yusuf Ramoshweu Solomon Lebelo |
| author_facet | Samuel Olumide Adesanya Tunde Abdulkadir Yusuf Ramoshweu Solomon Lebelo |
| author_sort | Samuel Olumide Adesanya |
| collection | DOAJ |
| description | Accurate determination of optimum flow and heat transfer condition is one of the major challenges faced in the application of magnetic fluid in the field of medicine and engineering, especially when applied as ferrofluids for targeted drug deliveries, treatment of hyperthermia, sealants in computer hard drives, lubricants in car shafts. In view of these important applications, a mathematical investigation of the flow and heat transfer behavior of reactive magnetic fluids containing nanostructures is presented based on a couple of stress constitutive models. The reactive fluid is assumed to flow through inclined magnetized solid boundaries for energy conversion. The formulation leads to nonlinear coupled equations. The dimensionless equations are numerically solved using the spectral Chebyshev assumed solution for the weighted residual technique, and the correctness of the solution is confirmed using the shooting Runge–Kutta method. The effects of various fluid parameters on velocity, temperature, skin friction, and heat transfer rates are described in tabular and graphical form, along with suitable physical explanations. Thermal analysis computations are also presented. According to the findings, an enhanced couple of stress fluid and variable viscosity parameters reduced the skin drag and heat transfer rate at the bottom wall. Furthermore, the thermal stability of the flow can be achieved with increasing values modified Hartman number while increasing couple stress parameter encourages thermal instability in the flow domain. |
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| id | doaj.art-1199a1ed06f049c3a916921c0ab0677e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T16:07:46Z |
| publishDate | 2022-12-01 |
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| series | Mathematics |
| spelling | doaj.art-1199a1ed06f049c3a916921c0ab0677e2023-11-24T16:28:27ZengMDPI AGMathematics2227-73902022-12-011024471310.3390/math10244713Numerical Investigation of the Magnetized Reactive Viscous Couple Stress Fluid Flow Down an Inclined Riga Plate with Variable ViscositySamuel Olumide Adesanya0Tunde Abdulkadir Yusuf1Ramoshweu Solomon Lebelo2Department of Mathematical Sciences, Redeemer’s University, Ede 232101, NigeriaDepartment of Mathematics, Faculty of Science, Adeleke University, Ede 232104, NigeriaEducation Department, Vaal University of Technology, Private Bag X021, Vanderbijlpark 1911, South AfricaAccurate determination of optimum flow and heat transfer condition is one of the major challenges faced in the application of magnetic fluid in the field of medicine and engineering, especially when applied as ferrofluids for targeted drug deliveries, treatment of hyperthermia, sealants in computer hard drives, lubricants in car shafts. In view of these important applications, a mathematical investigation of the flow and heat transfer behavior of reactive magnetic fluids containing nanostructures is presented based on a couple of stress constitutive models. The reactive fluid is assumed to flow through inclined magnetized solid boundaries for energy conversion. The formulation leads to nonlinear coupled equations. The dimensionless equations are numerically solved using the spectral Chebyshev assumed solution for the weighted residual technique, and the correctness of the solution is confirmed using the shooting Runge–Kutta method. The effects of various fluid parameters on velocity, temperature, skin friction, and heat transfer rates are described in tabular and graphical form, along with suitable physical explanations. Thermal analysis computations are also presented. According to the findings, an enhanced couple of stress fluid and variable viscosity parameters reduced the skin drag and heat transfer rate at the bottom wall. Furthermore, the thermal stability of the flow can be achieved with increasing values modified Hartman number while increasing couple stress parameter encourages thermal instability in the flow domain.https://www.mdpi.com/2227-7390/10/24/4713reactive magnetic fluidcouple stressRiga surfaceChebyshev spectral method |
| spellingShingle | Samuel Olumide Adesanya Tunde Abdulkadir Yusuf Ramoshweu Solomon Lebelo Numerical Investigation of the Magnetized Reactive Viscous Couple Stress Fluid Flow Down an Inclined Riga Plate with Variable Viscosity Mathematics reactive magnetic fluid couple stress Riga surface Chebyshev spectral method |
| title | Numerical Investigation of the Magnetized Reactive Viscous Couple Stress Fluid Flow Down an Inclined Riga Plate with Variable Viscosity |
| title_full | Numerical Investigation of the Magnetized Reactive Viscous Couple Stress Fluid Flow Down an Inclined Riga Plate with Variable Viscosity |
| title_fullStr | Numerical Investigation of the Magnetized Reactive Viscous Couple Stress Fluid Flow Down an Inclined Riga Plate with Variable Viscosity |
| title_full_unstemmed | Numerical Investigation of the Magnetized Reactive Viscous Couple Stress Fluid Flow Down an Inclined Riga Plate with Variable Viscosity |
| title_short | Numerical Investigation of the Magnetized Reactive Viscous Couple Stress Fluid Flow Down an Inclined Riga Plate with Variable Viscosity |
| title_sort | numerical investigation of the magnetized reactive viscous couple stress fluid flow down an inclined riga plate with variable viscosity |
| topic | reactive magnetic fluid couple stress Riga surface Chebyshev spectral method |
| url | https://www.mdpi.com/2227-7390/10/24/4713 |
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