Magnetohydrodynamic motions of oldroyd-b fluids in infinite circular cylinder that applies longitudinal shear stresses to the fluid or rotates around its axis
Two classes of magnetohydrodynamic (MHD) motions of the incompressible Oldroyd-B fluids through an infinite cylinder are analytically investigated. General expressions are firstly established for shear stress and velocity fields corresponding to the motion induced by longitudinal shear stress on the...
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| Format: | Article |
| Language: | English |
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MDPI
2024
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| Online Access: | http://umpir.ump.edu.my/id/eprint/43109/1/Magnetohydrodynamic%20Motions%20of%20Oldroyd%20B%20Fluids%20in%20Infinite%20Circular%20Cylinder%20That%20Applies%20Longitudinal%20Shear%20Stresses%20to%20the%20Fluid%20or%20Rotates%20Around%20Its%20Axis.pdf |
| _version_ | 1824451666181619712 |
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| author | Vieru, Dumitru Fetecau, Constantin Zulkhibri, Ismail |
| author_facet | Vieru, Dumitru Fetecau, Constantin Zulkhibri, Ismail |
| author_sort | Vieru, Dumitru |
| collection | UMP |
| description | Two classes of magnetohydrodynamic (MHD) motions of the incompressible Oldroyd-B fluids through an infinite cylinder are analytically investigated. General expressions are firstly established for shear stress and velocity fields corresponding to the motion induced by longitudinal shear stress on the boundary. For validation, the expression of the shear stress is determined by two different methods. Using an important remark regarding the governing equations for shear stress and fluid velocity corresponding to the two different motions, this expression is then used to provide the dimensionless velocity field of the MHD motion of the same fluids generated by a cylinder that rotates around its symmetry axis. Obtained results can generate exact solutions for any motion of this kind of Oldroyd-B fluids. Consequently, both types of motions are completely solved. For illustration, some case studies are considered, and adequate velocity fields are provided. The steady-state components of these velocities are presented in different forms whose equivalence is graphically proved. The influence of the magnetic field on the fluid behavior is graphically investigated. It was found that the fluid flows slower, and a steady state is earlier reached in the presence of a magnetic field. The fluid behavior when shear stress is given on the boundary is also investigated. |
| first_indexed | 2025-02-19T02:38:15Z |
| format | Article |
| id | UMPir43109 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2025-02-19T02:38:15Z |
| publishDate | 2024 |
| publisher | MDPI |
| record_format | dspace |
| spelling | UMPir431092024-12-11T07:12:44Z http://umpir.ump.edu.my/id/eprint/43109/ Magnetohydrodynamic motions of oldroyd-b fluids in infinite circular cylinder that applies longitudinal shear stresses to the fluid or rotates around its axis Vieru, Dumitru Fetecau, Constantin Zulkhibri, Ismail QA Mathematics Two classes of magnetohydrodynamic (MHD) motions of the incompressible Oldroyd-B fluids through an infinite cylinder are analytically investigated. General expressions are firstly established for shear stress and velocity fields corresponding to the motion induced by longitudinal shear stress on the boundary. For validation, the expression of the shear stress is determined by two different methods. Using an important remark regarding the governing equations for shear stress and fluid velocity corresponding to the two different motions, this expression is then used to provide the dimensionless velocity field of the MHD motion of the same fluids generated by a cylinder that rotates around its symmetry axis. Obtained results can generate exact solutions for any motion of this kind of Oldroyd-B fluids. Consequently, both types of motions are completely solved. For illustration, some case studies are considered, and adequate velocity fields are provided. The steady-state components of these velocities are presented in different forms whose equivalence is graphically proved. The influence of the magnetic field on the fluid behavior is graphically investigated. It was found that the fluid flows slower, and a steady state is earlier reached in the presence of a magnetic field. The fluid behavior when shear stress is given on the boundary is also investigated. MDPI 2024-10-13 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/43109/1/Magnetohydrodynamic%20Motions%20of%20Oldroyd%20B%20Fluids%20in%20Infinite%20Circular%20Cylinder%20That%20Applies%20Longitudinal%20Shear%20Stresses%20to%20the%20Fluid%20or%20Rotates%20Around%20Its%20Axis.pdf Vieru, Dumitru and Fetecau, Constantin and Zulkhibri, Ismail (2024) Magnetohydrodynamic motions of oldroyd-b fluids in infinite circular cylinder that applies longitudinal shear stresses to the fluid or rotates around its axis. Mathematics, 12 (20). pp. 1-17. ISSN 2227-7390. (Published) https://doi.org/10.3390/math12203207 10.3390/math12203207 |
| spellingShingle | QA Mathematics Vieru, Dumitru Fetecau, Constantin Zulkhibri, Ismail Magnetohydrodynamic motions of oldroyd-b fluids in infinite circular cylinder that applies longitudinal shear stresses to the fluid or rotates around its axis |
| title | Magnetohydrodynamic motions of oldroyd-b fluids in infinite circular cylinder that applies longitudinal shear stresses to the fluid or rotates around its axis |
| title_full | Magnetohydrodynamic motions of oldroyd-b fluids in infinite circular cylinder that applies longitudinal shear stresses to the fluid or rotates around its axis |
| title_fullStr | Magnetohydrodynamic motions of oldroyd-b fluids in infinite circular cylinder that applies longitudinal shear stresses to the fluid or rotates around its axis |
| title_full_unstemmed | Magnetohydrodynamic motions of oldroyd-b fluids in infinite circular cylinder that applies longitudinal shear stresses to the fluid or rotates around its axis |
| title_short | Magnetohydrodynamic motions of oldroyd-b fluids in infinite circular cylinder that applies longitudinal shear stresses to the fluid or rotates around its axis |
| title_sort | magnetohydrodynamic motions of oldroyd b fluids in infinite circular cylinder that applies longitudinal shear stresses to the fluid or rotates around its axis |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/43109/1/Magnetohydrodynamic%20Motions%20of%20Oldroyd%20B%20Fluids%20in%20Infinite%20Circular%20Cylinder%20That%20Applies%20Longitudinal%20Shear%20Stresses%20to%20the%20Fluid%20or%20Rotates%20Around%20Its%20Axis.pdf |
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