Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate
Nanofluids are a novel class of heat transfer fluid that plays a vital role in industries. In mathematical investigations, these fluids are modeled in terms of traditional integer-order partial differential equations (PDEs). It is recognized that traditional PDEs cannot decode the complex behavior o...
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MDPI AG
2020
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| Online Access: | http://umpir.ump.edu.my/id/eprint/28541/1/Application%20of%20fractional%20derivative%20without%20singular%20and%20local.pdf http://umpir.ump.edu.my/id/eprint/28541/ https://doi.org/10.3390/sym12050768 |
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| author | Muhammad, Saqib Abdul Rahman, Mohd Kasim Nurul Farahain, Mohammad Chuan Ching, D. L. Sharidan, Shafie |
| author_facet | Muhammad, Saqib Abdul Rahman, Mohd Kasim Nurul Farahain, Mohammad Chuan Ching, D. L. Sharidan, Shafie |
| author_sort | Muhammad, Saqib |
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| content_provider | Universiti Malaysia Pahang Al-Sultan Abdullah |
| content_source | UMPSA Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | Nanofluids are a novel class of heat transfer fluid that plays a vital role in industries. In mathematical investigations, these fluids are modeled in terms of traditional integer-order partial differential equations (PDEs). It is recognized that traditional PDEs cannot decode the complex behavior of physical flow parameters and memory effects. Therefore, this article intends to study the mixed convection heat transfer in nanofluid over an inclined vertical plate via fractional derivatives approach. The problem in hand is modeled in connection with Atangana–Baleanu fractional derivatives without singular and local kernel with a strong memory. Human blood is considered as base fluid and carbon nanotube (CNTs) (single-wall carbon nanotubes (SWCNTs) and multi-wall carbon nanotubes (MWCNTs)) are dispersed into it to form blood-CNTs nanofluid. The nanofluid is considered to flow in a saturated porous medium under the influence of an applied magnetic field. The exact analytical expressions for velocity and temperature profiles are acquired using the Laplace transform technique and plotted in various graphs. The empirical results indicate that the memory effect decreases with increasing fractional parameters in the case of both temperature and velocity profiles. Moreover, the temperature profile is higher for blood SWCNTs because of higher thermal conductivity whereas this trend is found opposite in the case of velocity profile due to densities difference. |
| format | Article |
| id | my.ump.umpir.28541 |
| institution | Universiti Malaysia Pahang |
| language | en |
| publishDate | 2020 |
| publisher | MDPI AG |
| record_format | eprints |
| spelling | my.ump.umpir.285412021-02-03T02:36:21Z http://umpir.ump.edu.my/id/eprint/28541/ Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate Muhammad, Saqib Abdul Rahman, Mohd Kasim Nurul Farahain, Mohammad Chuan Ching, D. L. Sharidan, Shafie QA Mathematics TJ Mechanical engineering and machinery TP Chemical technology Nanofluids are a novel class of heat transfer fluid that plays a vital role in industries. In mathematical investigations, these fluids are modeled in terms of traditional integer-order partial differential equations (PDEs). It is recognized that traditional PDEs cannot decode the complex behavior of physical flow parameters and memory effects. Therefore, this article intends to study the mixed convection heat transfer in nanofluid over an inclined vertical plate via fractional derivatives approach. The problem in hand is modeled in connection with Atangana–Baleanu fractional derivatives without singular and local kernel with a strong memory. Human blood is considered as base fluid and carbon nanotube (CNTs) (single-wall carbon nanotubes (SWCNTs) and multi-wall carbon nanotubes (MWCNTs)) are dispersed into it to form blood-CNTs nanofluid. The nanofluid is considered to flow in a saturated porous medium under the influence of an applied magnetic field. The exact analytical expressions for velocity and temperature profiles are acquired using the Laplace transform technique and plotted in various graphs. The empirical results indicate that the memory effect decreases with increasing fractional parameters in the case of both temperature and velocity profiles. Moreover, the temperature profile is higher for blood SWCNTs because of higher thermal conductivity whereas this trend is found opposite in the case of velocity profile due to densities difference. MDPI AG 2020-05-01 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/28541/1/Application%20of%20fractional%20derivative%20without%20singular%20and%20local.pdf Muhammad, Saqib and Abdul Rahman, Mohd Kasim and Nurul Farahain, Mohammad and Chuan Ching, D. L. and Sharidan, Shafie (2020) Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate. Symmetry, 12 (5). pp. 1-22. ISSN 2073-8994. (Published) https://doi.org/10.3390/sym12050768 https://doi.org/10.3390/sym12050768 |
| spellingShingle | QA Mathematics TJ Mechanical engineering and machinery TP Chemical technology Muhammad, Saqib Abdul Rahman, Mohd Kasim Nurul Farahain, Mohammad Chuan Ching, D. L. Sharidan, Shafie Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate |
| title | Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate |
| title_full | Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate |
| title_fullStr | Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate |
| title_full_unstemmed | Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate |
| title_short | Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate |
| title_sort | application of fractional derivative without singular and local kernel to enhanced heat transfer in cnts nanofluid over an inclined plate |
| topic | QA Mathematics TJ Mechanical engineering and machinery TP Chemical technology |
| url | http://umpir.ump.edu.my/id/eprint/28541/1/Application%20of%20fractional%20derivative%20without%20singular%20and%20local.pdf http://umpir.ump.edu.my/id/eprint/28541/ https://doi.org/10.3390/sym12050768 https://doi.org/10.3390/sym12050768 |
| url_provider | http://umpir.ump.edu.my/ |