Thermal convection in rotating ferromagnetic liquid with thermorheological and magnetorheological effects
Rotational effects are investigated in Newtonian ferromagnetic liquids with linear stability modified by temperature and magnetic field. When thermorheological and magnetorheological effects are taken into account, the fluid's rheological behaviour becomes more complex. Thermorheological effect...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-02-01
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| Series: | Case Studies in Thermal Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X24000662 |
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| author | R. Prakash Umair Khan Fehmi Gamaoun K. Sarada K.V. Nagaraja Harjot Singh Gill Anuar Ishak M. Modather M. Abdou Ahmed M. Hassan |
| author_facet | R. Prakash Umair Khan Fehmi Gamaoun K. Sarada K.V. Nagaraja Harjot Singh Gill Anuar Ishak M. Modather M. Abdou Ahmed M. Hassan |
| author_sort | R. Prakash |
| collection | DOAJ |
| description | Rotational effects are investigated in Newtonian ferromagnetic liquids with linear stability modified by temperature and magnetic field. When thermorheological and magnetorheological effects are taken into account, the fluid's rheological behaviour becomes more complex. Thermorheological effects deal with viscosity changes in relation to temperature, whereas magnetorheological effects deal with viscosity changes in reaction to an applied magnetic field. Understanding the interplay between these effects and thermal convection sheds light on how connected these processes are. In idealized boundary conditions, the convective thresholds are expressed explicitly using the Galerkin technique. In the case of free-free and rigid upper-free boundaries, the exchange of stability principle is demonstrated, and corresponding results are presented. The oscillatory convection is not a preferable mode of instability for ferromagnetic liquids with Prandtl numbers more than one. In addition, rotational and ferromagnetic parameters are discussed in relation to system instability. Results reveals that an increase in Taylor number has a stabilizing effect on the system. Increasing magnetic buoyancy number, results in destabilizing effects on the system. Ferroconvection is not affected due to the nonlinearity of non-magnetic parameter. The results obtained agree truly with those of limiting cases. |
| first_indexed | 2024-03-08T02:01:38Z |
| format | Article |
| id | doaj.art-622269b0e80e4209b5de072e2fd542b1 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-03-08T02:01:38Z |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-622269b0e80e4209b5de072e2fd542b12024-02-14T05:17:04ZengElsevierCase Studies in Thermal Engineering2214-157X2024-02-0154104035Thermal convection in rotating ferromagnetic liquid with thermorheological and magnetorheological effectsR. Prakash0Umair Khan1Fehmi Gamaoun2K. Sarada3K.V. Nagaraja4Harjot Singh Gill5Anuar Ishak6M. Modather M. Abdou7Ahmed M. Hassan8Department of Mathematics, R V College of Engineering, Bangalore, 560059, Karnataka, IndiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi, 43600, Selangor, Malaysia; Department of Mathematics, Faculty of Science, Sakarya University, Serdivan/Sakarya 54050, Turkey; Department of Computer Science and Mathematics, Lebanese American University, Byblos, 1401, Lebanon; Corresponding author. Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi, 43600, Selangor, Malaysia.Department of Mechanical Engineering, College of Engineering, King Khalid University, Abha, 61421, Saudi ArabiaDepartment of Mathematics, Government City College, Hyderabad, IndiaDepartment of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Bengaluru, IndiaDepartment of Mechanical Engineering and University Centre for Research & Development, Chandigarh University, Mohali, 140413, Punjab, IndiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi, 43600, Selangor, MalaysiaDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia; Department of Mathematics, Aswan University, Faculty of Science, 81528, EgyptMechanical Engineering, Future University in Egypt, New Cairo 11835, EgyptRotational effects are investigated in Newtonian ferromagnetic liquids with linear stability modified by temperature and magnetic field. When thermorheological and magnetorheological effects are taken into account, the fluid's rheological behaviour becomes more complex. Thermorheological effects deal with viscosity changes in relation to temperature, whereas magnetorheological effects deal with viscosity changes in reaction to an applied magnetic field. Understanding the interplay between these effects and thermal convection sheds light on how connected these processes are. In idealized boundary conditions, the convective thresholds are expressed explicitly using the Galerkin technique. In the case of free-free and rigid upper-free boundaries, the exchange of stability principle is demonstrated, and corresponding results are presented. The oscillatory convection is not a preferable mode of instability for ferromagnetic liquids with Prandtl numbers more than one. In addition, rotational and ferromagnetic parameters are discussed in relation to system instability. Results reveals that an increase in Taylor number has a stabilizing effect on the system. Increasing magnetic buoyancy number, results in destabilizing effects on the system. Ferroconvection is not affected due to the nonlinearity of non-magnetic parameter. The results obtained agree truly with those of limiting cases.http://www.sciencedirect.com/science/article/pii/S2214157X24000662Rayleigh-bénard convectionOscillatory convectionMagnetic fluxVariable viscosityVertical magnetic field |
| spellingShingle | R. Prakash Umair Khan Fehmi Gamaoun K. Sarada K.V. Nagaraja Harjot Singh Gill Anuar Ishak M. Modather M. Abdou Ahmed M. Hassan Thermal convection in rotating ferromagnetic liquid with thermorheological and magnetorheological effects Case Studies in Thermal Engineering Rayleigh-bénard convection Oscillatory convection Magnetic flux Variable viscosity Vertical magnetic field |
| title | Thermal convection in rotating ferromagnetic liquid with thermorheological and magnetorheological effects |
| title_full | Thermal convection in rotating ferromagnetic liquid with thermorheological and magnetorheological effects |
| title_fullStr | Thermal convection in rotating ferromagnetic liquid with thermorheological and magnetorheological effects |
| title_full_unstemmed | Thermal convection in rotating ferromagnetic liquid with thermorheological and magnetorheological effects |
| title_short | Thermal convection in rotating ferromagnetic liquid with thermorheological and magnetorheological effects |
| title_sort | thermal convection in rotating ferromagnetic liquid with thermorheological and magnetorheological effects |
| topic | Rayleigh-bénard convection Oscillatory convection Magnetic flux Variable viscosity Vertical magnetic field |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X24000662 |
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