Impact of Smoluchowski Temperature and Maxwell Velocity Slip Conditions on Axisymmetric Rotated Flow of Hybrid Nanofluid past a Porous Moving Rotating Disk
Colloidal suspensions of regular fluids and nanoparticles are known as nanofluids. They have a variety of applications in the medical field, including cell separation, drug targeting, destruction of tumor tissue, and so on. On the other hand, the dispersion of multiple nanoparticles into a regular f...
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| Format: | Article |
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MDPI AG
2022-01-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/12/2/276 |
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| author | Umair Khan Aurang Zaib Iskandar Waini Anuar Ishak El-Sayed M. Sherif Wei-Feng Xia Noor Muhammad |
| author_facet | Umair Khan Aurang Zaib Iskandar Waini Anuar Ishak El-Sayed M. Sherif Wei-Feng Xia Noor Muhammad |
| author_sort | Umair Khan |
| collection | DOAJ |
| description | Colloidal suspensions of regular fluids and nanoparticles are known as nanofluids. They have a variety of applications in the medical field, including cell separation, drug targeting, destruction of tumor tissue, and so on. On the other hand, the dispersion of multiple nanoparticles into a regular fluid is referred to as a hybrid nanofluid. It has a variety of innovative applications such as microfluidics, heat dissipation, dynamic sealing, damping, and so on. Because of these numerous applications of nanofluids in minds, therefore, the objective of the current exploration divulged the axisymmetric radiative flow and heat transfer induced by hybrid nanofluid impinging on a porous stretchable/shrinkable rotating disc. In addition, the impact of Smoluchowski temperature and Maxwell velocity slip boundary conditions are also invoked. The hybrid nanofluid was formed by mixing the copper (Cu) and alumina (Al<sub>2</sub>O<sub>3</sub>) nanoparticles scattered in the regular (viscous) base fluid (H<sub>2</sub>O). Similarity variables are used to procure the similarity equations, and the numerical outcomes are achieved using bvp4c in MATLAB software. According to the findings, double solutions are feasible for stretching <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mi>λ</mi><mo>></mo><mn>0</mn></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula> and shrinking cases <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mi>λ</mi><mo><</mo><mn>0</mn></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. The heat transfer rate is accelerated as the hybrid nanoparticles increases. The suction parameter enhances the friction factors as well as heat transfer rate. Moreover, the friction factor in the radial direction and heat transfer enrich for the first solution and moderate for the second outcome due to the augmentation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mn>1</mn></msub></mrow></semantics></math></inline-formula>, while the trend of the friction factor in the radial direction is changed only in the case of stretching for both branches. |
| first_indexed | 2024-03-10T00:48:03Z |
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| id | doaj.art-76b831a239e747d09e2da233e72f2363 |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-10T00:48:03Z |
| publishDate | 2022-01-01 |
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| spelling | doaj.art-76b831a239e747d09e2da233e72f23632023-11-23T14:55:44ZengMDPI AGNanomaterials2079-49912022-01-0112227610.3390/nano12020276Impact of Smoluchowski Temperature and Maxwell Velocity Slip Conditions on Axisymmetric Rotated Flow of Hybrid Nanofluid past a Porous Moving Rotating DiskUmair Khan0Aurang Zaib1Iskandar Waini2Anuar Ishak3El-Sayed M. Sherif4Wei-Feng Xia5Noor Muhammad6Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia UKM, Bangi 43600, Selangor, MalaysiaDepartment of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Gulshan-e-Iqbal Karachi 75300, PakistanFakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Durian Tunggal 76100, Melaka, MalaysiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia UKM, Bangi 43600, Selangor, MalaysiaMechanical Engineering Department, College of Engineering, King Saud University, Riyadh 11423, Saudi ArabiaSchool of Engineering, Huzhou University, Huzhou 313000, ChinaAbdus Salam School of Mathematical Sciences, Government College University, Lahore 54600, PakistanColloidal suspensions of regular fluids and nanoparticles are known as nanofluids. They have a variety of applications in the medical field, including cell separation, drug targeting, destruction of tumor tissue, and so on. On the other hand, the dispersion of multiple nanoparticles into a regular fluid is referred to as a hybrid nanofluid. It has a variety of innovative applications such as microfluidics, heat dissipation, dynamic sealing, damping, and so on. Because of these numerous applications of nanofluids in minds, therefore, the objective of the current exploration divulged the axisymmetric radiative flow and heat transfer induced by hybrid nanofluid impinging on a porous stretchable/shrinkable rotating disc. In addition, the impact of Smoluchowski temperature and Maxwell velocity slip boundary conditions are also invoked. The hybrid nanofluid was formed by mixing the copper (Cu) and alumina (Al<sub>2</sub>O<sub>3</sub>) nanoparticles scattered in the regular (viscous) base fluid (H<sub>2</sub>O). Similarity variables are used to procure the similarity equations, and the numerical outcomes are achieved using bvp4c in MATLAB software. According to the findings, double solutions are feasible for stretching <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mi>λ</mi><mo>></mo><mn>0</mn></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula> and shrinking cases <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mrow><mi>λ</mi><mo><</mo><mn>0</mn></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. The heat transfer rate is accelerated as the hybrid nanoparticles increases. The suction parameter enhances the friction factors as well as heat transfer rate. Moreover, the friction factor in the radial direction and heat transfer enrich for the first solution and moderate for the second outcome due to the augmentation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>δ</mi><mn>1</mn></msub></mrow></semantics></math></inline-formula>, while the trend of the friction factor in the radial direction is changed only in the case of stretching for both branches.https://www.mdpi.com/2079-4991/12/2/276hybrid nanofluidaxisymmetric rotating flowMaxwell velocity slipSmoluchowski temperature sliprotating disk |
| spellingShingle | Umair Khan Aurang Zaib Iskandar Waini Anuar Ishak El-Sayed M. Sherif Wei-Feng Xia Noor Muhammad Impact of Smoluchowski Temperature and Maxwell Velocity Slip Conditions on Axisymmetric Rotated Flow of Hybrid Nanofluid past a Porous Moving Rotating Disk Nanomaterials hybrid nanofluid axisymmetric rotating flow Maxwell velocity slip Smoluchowski temperature slip rotating disk |
| title | Impact of Smoluchowski Temperature and Maxwell Velocity Slip Conditions on Axisymmetric Rotated Flow of Hybrid Nanofluid past a Porous Moving Rotating Disk |
| title_full | Impact of Smoluchowski Temperature and Maxwell Velocity Slip Conditions on Axisymmetric Rotated Flow of Hybrid Nanofluid past a Porous Moving Rotating Disk |
| title_fullStr | Impact of Smoluchowski Temperature and Maxwell Velocity Slip Conditions on Axisymmetric Rotated Flow of Hybrid Nanofluid past a Porous Moving Rotating Disk |
| title_full_unstemmed | Impact of Smoluchowski Temperature and Maxwell Velocity Slip Conditions on Axisymmetric Rotated Flow of Hybrid Nanofluid past a Porous Moving Rotating Disk |
| title_short | Impact of Smoluchowski Temperature and Maxwell Velocity Slip Conditions on Axisymmetric Rotated Flow of Hybrid Nanofluid past a Porous Moving Rotating Disk |
| title_sort | impact of smoluchowski temperature and maxwell velocity slip conditions on axisymmetric rotated flow of hybrid nanofluid past a porous moving rotating disk |
| topic | hybrid nanofluid axisymmetric rotating flow Maxwell velocity slip Smoluchowski temperature slip rotating disk |
| url | https://www.mdpi.com/2079-4991/12/2/276 |
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