Saqib, Muhammad and Mohd Kasim, Abdul Rahman and Mohammad, Nurul Farahain and Chuan Ching, Dennis Ling and Shafie, Sharidan (2020) Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate. Symmetry, 12 (5). ISSN 2073-8994
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Abstract
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.
| Item Type: | Article (Journal) |
|---|---|
| Additional Information: | 7411/82239 |
| Uncontrolled Keywords: | CNTs, Enhance heat transfer, Fractional derivatives, Laplace transform, Nanofluids |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): | Kulliyyah of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences |
| Depositing User: | Dr. N.F. Mohammad |
| Date Deposited: | 17 Aug 2020 17:06 |
| Last Modified: | 17 Aug 2020 17:06 |
| URI: | http://irep.iium.edu.my/id/eprint/82239 |
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