Activation Energy and Inclination Magnetic Dipole Influences on Carreau Nanofluid Flowing via Cylindrical Channel with an Infinite Shearing Rate
<b>Background:</b> The infinite shear viscosity model of Carreau fluid characterizes the attitude of fluid flow at a very high/very low shear rate. This model has the capacity for interpretation of fluid at both extreme levels, and an inclined magnetic dipole in fluid mechanics has its v...
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MDPI AG
2022-08-01
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| author | Assad Ayub Tanveer Sajid Wasim Jamshed William Rolando Miranda Zamora Leandro Alonso Vallejos More Luz Marina Galván Talledo Nélida Isabel Rodríguez Ortega de Peña Syed M. Hussain Muhammad Bilal Hafeez Marek Krawczuk |
| author_facet | Assad Ayub Tanveer Sajid Wasim Jamshed William Rolando Miranda Zamora Leandro Alonso Vallejos More Luz Marina Galván Talledo Nélida Isabel Rodríguez Ortega de Peña Syed M. Hussain Muhammad Bilal Hafeez Marek Krawczuk |
| author_sort | Assad Ayub |
| collection | DOAJ |
| description | <b>Background:</b> The infinite shear viscosity model of Carreau fluid characterizes the attitude of fluid flow at a very high/very low shear rate. This model has the capacity for interpretation of fluid at both extreme levels, and an inclined magnetic dipole in fluid mechanics has its valuable applications such as magnetic drug engineering, cold treatments to destroy tumors, drug targeting, bio preservation, cryosurgery, astrophysics, reaction kinetics, geophysics, machinery efficiency, sensors, material selection and cosmology. <b>Novelty:</b> This study investigates and interprets the infinite shear rate of Carreau nanofluid over the geometry of a cylindrical channel. The velocity is assumed to be investigated through imposing an inclined magnetic field onto cylindrical geometry. Activation energy is utilized because it helps with chemical reactions and mass transport. Furthermore, the effects of thermophoresis, the binary chemical process and the Brownian movement of nanoparticles are included in this attempt. <b>Formulation:</b> The mathematics of the assumed Carreau model is derived from Cauchy stress tensor, and partial differential equations (PDEs) are obtained. Similarity transformation variables converted these PDEs into a system of ordinary differential equations (ODEs). Passing this system under the bvp4c scheme, we reached at numerical results of this research attempt. <b>Findings</b><b>:</b> Graphical debate and statistical analysis are launched on the basis of the obtained computed numerical results. The infinite shear rate aspect of Carreau nanofluid gives a lower velocity. The inclined magnetic dipole effect shows a lower velocity but high energy. A positive variation in activation energy amplifies the concentration field. |
| first_indexed | 2024-03-10T03:01:06Z |
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| last_indexed | 2024-03-10T03:01:06Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-bf2dce95633040b79b08340adc807f632023-11-23T12:46:51ZengMDPI AGApplied Sciences2076-34172022-08-011217877910.3390/app12178779Activation Energy and Inclination Magnetic Dipole Influences on Carreau Nanofluid Flowing via Cylindrical Channel with an Infinite Shearing RateAssad Ayub0Tanveer Sajid1Wasim Jamshed2William Rolando Miranda Zamora3Leandro Alonso Vallejos More4Luz Marina Galván Talledo5Nélida Isabel Rodríguez Ortega de Peña6Syed M. Hussain7Muhammad Bilal Hafeez8Marek Krawczuk9Department of Mathematics & Statistics, Hazara University, Manshera 21120, PakistanDepartment of Mathematics, Capital University of Science and Technology (CUST), Islamabad 44000, PakistanDepartment of Mathematics, Capital University of Science and Technology (CUST), Islamabad 44000, PakistanUniversidad Nacional de Frontera, Sullana 20103, PeruUniversidad César Vallejo, Trujillo 13135, PeruUniversidad César Vallejo, Trujillo 13135, PeruUniversidad Nacional de Piura, Piura 20002, PeruDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi ArabiaInstitute of Mechanics and Machine Design, Narutowicza 11/12, Faculty of Mechanical Engineering and Ship Technology, Gdansk University of Technology, 80233 Gdańsk, PolandInstitute of Mechanics and Machine Design, Narutowicza 11/12, Faculty of Mechanical Engineering and Ship Technology, Gdansk University of Technology, 80233 Gdańsk, Poland<b>Background:</b> The infinite shear viscosity model of Carreau fluid characterizes the attitude of fluid flow at a very high/very low shear rate. This model has the capacity for interpretation of fluid at both extreme levels, and an inclined magnetic dipole in fluid mechanics has its valuable applications such as magnetic drug engineering, cold treatments to destroy tumors, drug targeting, bio preservation, cryosurgery, astrophysics, reaction kinetics, geophysics, machinery efficiency, sensors, material selection and cosmology. <b>Novelty:</b> This study investigates and interprets the infinite shear rate of Carreau nanofluid over the geometry of a cylindrical channel. The velocity is assumed to be investigated through imposing an inclined magnetic field onto cylindrical geometry. Activation energy is utilized because it helps with chemical reactions and mass transport. Furthermore, the effects of thermophoresis, the binary chemical process and the Brownian movement of nanoparticles are included in this attempt. <b>Formulation:</b> The mathematics of the assumed Carreau model is derived from Cauchy stress tensor, and partial differential equations (PDEs) are obtained. Similarity transformation variables converted these PDEs into a system of ordinary differential equations (ODEs). Passing this system under the bvp4c scheme, we reached at numerical results of this research attempt. <b>Findings</b><b>:</b> Graphical debate and statistical analysis are launched on the basis of the obtained computed numerical results. The infinite shear rate aspect of Carreau nanofluid gives a lower velocity. The inclined magnetic dipole effect shows a lower velocity but high energy. A positive variation in activation energy amplifies the concentration field.https://www.mdpi.com/2076-3417/12/17/8779infinite shear rateCarreau nanofluidcylindrical channelactivation energyinclined magnetic dipole effect |
| spellingShingle | Assad Ayub Tanveer Sajid Wasim Jamshed William Rolando Miranda Zamora Leandro Alonso Vallejos More Luz Marina Galván Talledo Nélida Isabel Rodríguez Ortega de Peña Syed M. Hussain Muhammad Bilal Hafeez Marek Krawczuk Activation Energy and Inclination Magnetic Dipole Influences on Carreau Nanofluid Flowing via Cylindrical Channel with an Infinite Shearing Rate Applied Sciences infinite shear rate Carreau nanofluid cylindrical channel activation energy inclined magnetic dipole effect |
| title | Activation Energy and Inclination Magnetic Dipole Influences on Carreau Nanofluid Flowing via Cylindrical Channel with an Infinite Shearing Rate |
| title_full | Activation Energy and Inclination Magnetic Dipole Influences on Carreau Nanofluid Flowing via Cylindrical Channel with an Infinite Shearing Rate |
| title_fullStr | Activation Energy and Inclination Magnetic Dipole Influences on Carreau Nanofluid Flowing via Cylindrical Channel with an Infinite Shearing Rate |
| title_full_unstemmed | Activation Energy and Inclination Magnetic Dipole Influences on Carreau Nanofluid Flowing via Cylindrical Channel with an Infinite Shearing Rate |
| title_short | Activation Energy and Inclination Magnetic Dipole Influences on Carreau Nanofluid Flowing via Cylindrical Channel with an Infinite Shearing Rate |
| title_sort | activation energy and inclination magnetic dipole influences on carreau nanofluid flowing via cylindrical channel with an infinite shearing rate |
| topic | infinite shear rate Carreau nanofluid cylindrical channel activation energy inclined magnetic dipole effect |
| url | https://www.mdpi.com/2076-3417/12/17/8779 |
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