Lie symmetry analysis of bio-nano-slip flow in a conical gap between a rotating disk and cone with Stefan blowing
The cone–disk system (CDS) involves a cone, which contacts a disk at its tip. This type of flow problem is used in some devices in medical sciences, such as viscosimeters and conical diffusers. The 3-D flow of a bio-nanofluid within the gap of a CDS is examined for the four selected arrangements: (i...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-01-01
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| Series: | Applied Rheology |
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| Online Access: | https://doi.org/10.1515/arh-2024-0027 |
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| author | Hamadneh Nawaf N. Uddin Mohammed Jashim Khan Waqar Tanjila Rubina Tamanna Nadia Jaber Jamil J. |
| author_facet | Hamadneh Nawaf N. Uddin Mohammed Jashim Khan Waqar Tanjila Rubina Tamanna Nadia Jaber Jamil J. |
| author_sort | Hamadneh Nawaf N. |
| collection | DOAJ |
| description | The cone–disk system (CDS) involves a cone, which contacts a disk at its tip. This type of flow problem is used in some devices in medical sciences, such as viscosimeters and conical diffusers. The 3-D flow of a bio-nanofluid within the gap of a CDS is examined for the four selected arrangements: (i) rotating cone with stationary disk, (ii) rotating disk with stationary cone, (iii) co-rotation of cone and disk, and (iv) counter-rotation of cone and disk. The well-known Buongiorno’s nanofluid model is applied to illustrate the flow behavior with Stefan blowing. The governing system constitutes the continuity, momentum, energy, conservation of nanoparticle volume fraction (NPVF) equation, and density of the motile microorganism (DMM) equations. The Lie group approach is used to obtain invariant transformations. Numerical simulations are done for various rotational Reynolds numbers and various gap angles to explore the flow, heat, NPVF, and DMM transport features. The radial and tangential skin friction factors, Nusselt, Sherwood, and density numbers are calculated and inspected using tabular and graphical results. The slip and blowing parameters are demonstrated to affect the fluid friction, heat, NPVF, and DMM transfer rates from the disk and cone for the selected models. |
| format | Article |
| id | doaj-art-4466fcf08c464760b9db1b84fc31fb6f |
| institution | Kabale University |
| issn | 1617-8106 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Applied Rheology |
| spelling | doaj-art-4466fcf08c464760b9db1b84fc31fb6f2025-02-02T15:44:40ZengDe GruyterApplied Rheology1617-81062025-01-01351p. 1052410.1515/arh-2024-0027Lie symmetry analysis of bio-nano-slip flow in a conical gap between a rotating disk and cone with Stefan blowingHamadneh Nawaf N.0Uddin Mohammed Jashim1Khan Waqar2Tanjila Rubina3Tamanna Nadia4Jaber Jamil J.5Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh11673, Saudi ArabiaDepartment of Mathematics, American International University-Bangladesh, 408/1, Kuratoli, Khilkhet, Dhaka1229, BangladeshDepartment of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al Khobar31952, Saudi ArabiaDepartment of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Pirojpur, BangladeshDepartment of Mathematics, American International University-Bangladesh, 408/1, Kuratoli, Khilkhet, Dhaka1229, BangladeshDepartment of Finance, School of Business, The University of Jordan, Aqaba, 77110, JordanThe cone–disk system (CDS) involves a cone, which contacts a disk at its tip. This type of flow problem is used in some devices in medical sciences, such as viscosimeters and conical diffusers. The 3-D flow of a bio-nanofluid within the gap of a CDS is examined for the four selected arrangements: (i) rotating cone with stationary disk, (ii) rotating disk with stationary cone, (iii) co-rotation of cone and disk, and (iv) counter-rotation of cone and disk. The well-known Buongiorno’s nanofluid model is applied to illustrate the flow behavior with Stefan blowing. The governing system constitutes the continuity, momentum, energy, conservation of nanoparticle volume fraction (NPVF) equation, and density of the motile microorganism (DMM) equations. The Lie group approach is used to obtain invariant transformations. Numerical simulations are done for various rotational Reynolds numbers and various gap angles to explore the flow, heat, NPVF, and DMM transport features. The radial and tangential skin friction factors, Nusselt, Sherwood, and density numbers are calculated and inspected using tabular and graphical results. The slip and blowing parameters are demonstrated to affect the fluid friction, heat, NPVF, and DMM transfer rates from the disk and cone for the selected models.https://doi.org/10.1515/arh-2024-0027bio-nano-convectionlie symmetrystefan blowingcone and diskslip |
| spellingShingle | Hamadneh Nawaf N. Uddin Mohammed Jashim Khan Waqar Tanjila Rubina Tamanna Nadia Jaber Jamil J. Lie symmetry analysis of bio-nano-slip flow in a conical gap between a rotating disk and cone with Stefan blowing Applied Rheology bio-nano-convection lie symmetry stefan blowing cone and disk slip |
| title | Lie symmetry analysis of bio-nano-slip flow in a conical gap between a rotating disk and cone with Stefan blowing |
| title_full | Lie symmetry analysis of bio-nano-slip flow in a conical gap between a rotating disk and cone with Stefan blowing |
| title_fullStr | Lie symmetry analysis of bio-nano-slip flow in a conical gap between a rotating disk and cone with Stefan blowing |
| title_full_unstemmed | Lie symmetry analysis of bio-nano-slip flow in a conical gap between a rotating disk and cone with Stefan blowing |
| title_short | Lie symmetry analysis of bio-nano-slip flow in a conical gap between a rotating disk and cone with Stefan blowing |
| title_sort | lie symmetry analysis of bio nano slip flow in a conical gap between a rotating disk and cone with stefan blowing |
| topic | bio-nano-convection lie symmetry stefan blowing cone and disk slip |
| url | https://doi.org/10.1515/arh-2024-0027 |
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