Duality solutions in hydromagnetic flow of SWCNT-MWCNT/water hybrid nanofluid over vertical moving slender needle
Recently, the topic of convection of heat transfer has created an interest among researchers because of its numerous applications in the daily life. The objective of this paper was to study theoretically the problem of mixed convection boundary layer flow and heat transfer of single-wall carbon nano...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Multidisciplinary Digital Publishing Institute
2021
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/96807/1/ABSTRACT.pdf |
| _version_ | 1825937767512670208 |
|---|---|
| author | Aladdin, Nur Adilah Liyana Bachok @ Lati, Norfifah |
| author_facet | Aladdin, Nur Adilah Liyana Bachok @ Lati, Norfifah |
| author_sort | Aladdin, Nur Adilah Liyana |
| collection | UPM |
| description | Recently, the topic of convection of heat transfer has created an interest among researchers because of its numerous applications in the daily life. The objective of this paper was to study theoretically the problem of mixed convection boundary layer flow and heat transfer of single-wall carbon nanotube (SWCNT) and multi-wall carbon nanotube (MWCNT) in presence of hydromagnetic effects. The problem was initiated by formulating a mathematical model in partial differential equation (PDE) for the hybrid nanofluid flow with appropriate boundary conditions. The similarity equation was used to transform the PDE into an ordinary differential equation (ODE) and solved using bvp4c in MATLAB. The graphical results on variation of skin friction coefficient, Cf, local Nusselt number, Nux, shear stress, f′′(c) and local heat flux, −θ′(c) with the effects of magnetic, M, size of needle, c, mixed convection parameter, λ and volume fraction of nanoparticles, φ were presented and discussed in detail. The study revealed that duality of solutions appears when the buoyance force is in opposing flow of the fluid motion, λ<0. The presence of M in hybrid nanofluid reduced the skin friction coefficient and heat transfer. On the other hand, the Cf and Nux increased as different concentrations of φ1 and c were added. It gives an insight into the medical field, especially in treating cancer cells. By means, it reveals that CNTs hybrid nanofluid shows high potential in reaching the site of tumors faster compared with nanofluid. A stability analysis has to be carried out. It is noticed that the first solution was stable and physically realizable. |
| first_indexed | 2024-03-06T11:04:31Z |
| format | Article |
| id | upm.eprints-96807 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T11:04:31Z |
| publishDate | 2021 |
| publisher | Multidisciplinary Digital Publishing Institute |
| record_format | dspace |
| spelling | upm.eprints-968072022-12-01T04:33:35Z http://psasir.upm.edu.my/id/eprint/96807/ Duality solutions in hydromagnetic flow of SWCNT-MWCNT/water hybrid nanofluid over vertical moving slender needle Aladdin, Nur Adilah Liyana Bachok @ Lati, Norfifah Recently, the topic of convection of heat transfer has created an interest among researchers because of its numerous applications in the daily life. The objective of this paper was to study theoretically the problem of mixed convection boundary layer flow and heat transfer of single-wall carbon nanotube (SWCNT) and multi-wall carbon nanotube (MWCNT) in presence of hydromagnetic effects. The problem was initiated by formulating a mathematical model in partial differential equation (PDE) for the hybrid nanofluid flow with appropriate boundary conditions. The similarity equation was used to transform the PDE into an ordinary differential equation (ODE) and solved using bvp4c in MATLAB. The graphical results on variation of skin friction coefficient, Cf, local Nusselt number, Nux, shear stress, f′′(c) and local heat flux, −θ′(c) with the effects of magnetic, M, size of needle, c, mixed convection parameter, λ and volume fraction of nanoparticles, φ were presented and discussed in detail. The study revealed that duality of solutions appears when the buoyance force is in opposing flow of the fluid motion, λ<0. The presence of M in hybrid nanofluid reduced the skin friction coefficient and heat transfer. On the other hand, the Cf and Nux increased as different concentrations of φ1 and c were added. It gives an insight into the medical field, especially in treating cancer cells. By means, it reveals that CNTs hybrid nanofluid shows high potential in reaching the site of tumors faster compared with nanofluid. A stability analysis has to be carried out. It is noticed that the first solution was stable and physically realizable. Multidisciplinary Digital Publishing Institute 2021 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/96807/1/ABSTRACT.pdf Aladdin, Nur Adilah Liyana and Bachok @ Lati, Norfifah (2021) Duality solutions in hydromagnetic flow of SWCNT-MWCNT/water hybrid nanofluid over vertical moving slender needle. Mathematics, 9 (22). art. no. 2927. pp. 1-17. ISSN 2227-7390 https://www.mdpi.com/2227-7390/9/22/2927 10.3390/math9222927 |
| spellingShingle | Aladdin, Nur Adilah Liyana Bachok @ Lati, Norfifah Duality solutions in hydromagnetic flow of SWCNT-MWCNT/water hybrid nanofluid over vertical moving slender needle |
| title | Duality solutions in hydromagnetic flow of SWCNT-MWCNT/water hybrid nanofluid over vertical moving slender needle |
| title_full | Duality solutions in hydromagnetic flow of SWCNT-MWCNT/water hybrid nanofluid over vertical moving slender needle |
| title_fullStr | Duality solutions in hydromagnetic flow of SWCNT-MWCNT/water hybrid nanofluid over vertical moving slender needle |
| title_full_unstemmed | Duality solutions in hydromagnetic flow of SWCNT-MWCNT/water hybrid nanofluid over vertical moving slender needle |
| title_short | Duality solutions in hydromagnetic flow of SWCNT-MWCNT/water hybrid nanofluid over vertical moving slender needle |
| title_sort | duality solutions in hydromagnetic flow of swcnt mwcnt water hybrid nanofluid over vertical moving slender needle |
| url | http://psasir.upm.edu.my/id/eprint/96807/1/ABSTRACT.pdf |
| work_keys_str_mv | AT aladdinnuradilahliyana dualitysolutionsinhydromagneticflowofswcntmwcntwaterhybridnanofluidoververticalmovingslenderneedle AT bachoklatinorfifah dualitysolutionsinhydromagneticflowofswcntmwcntwaterhybridnanofluidoververticalmovingslenderneedle |