Cover Image

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Muhammad Saqib, Muhammad Saqib, Mohd. Kasim, Abdul Rahman, Mohammad, Nurul Farahain, Ling, Dennis Chuan Ching, Shafie, Sharidan
Format: Article
Language:English
Published: MDPI 2020
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/92370/1/MuhammadSaqib2020_ApplicationofFractionalDerivativewithoutSingular.pdf
http://eprints.utm.my/id/eprint/92370/
http://dx.doi.org/10.3390/SYM12050768
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.utm.92370
record_format eprints
spelling my.utm.923702021-09-28T07:43:45Z http://eprints.utm.my/id/eprint/92370/ Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate Muhammad Saqib, Muhammad Saqib Mohd. Kasim, Abdul Rahman Mohammad, Nurul Farahain Ling, Dennis Chuan Ching Shafie, Sharidan QA Mathematics 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 2020-05-01 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/92370/1/MuhammadSaqib2020_ApplicationofFractionalDerivativewithoutSingular.pdf Muhammad Saqib, Muhammad Saqib and Mohd. Kasim, Abdul Rahman and Mohammad, Nurul Farahain and Ling, Dennis Chuan Ching 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). pp. 1-22. ISSN 2073-8994 http://dx.doi.org/10.3390/SYM12050768 DOI:10.3390/SYM12050768
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Muhammad Saqib, Muhammad Saqib
Mohd. Kasim, Abdul Rahman
Mohammad, Nurul Farahain
Ling, Dennis Chuan Ching
Shafie, Sharidan
Application of fractional derivative without singular and local kernel to enhanced heat transfer in CNTs nanofluid over an inclined plate
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
author Muhammad Saqib, Muhammad Saqib
Mohd. Kasim, Abdul Rahman
Mohammad, Nurul Farahain
Ling, Dennis Chuan Ching
Shafie, Sharidan
author_facet Muhammad Saqib, Muhammad Saqib
Mohd. Kasim, Abdul Rahman
Mohammad, Nurul Farahain
Ling, Dennis Chuan Ching
Shafie, Sharidan
author_sort Muhammad Saqib, Muhammad Saqib
title 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_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_sort application of fractional derivative without singular and local kernel to enhanced heat transfer in cnts nanofluid over an inclined plate
publisher MDPI
publishDate 2020
url http://eprints.utm.my/id/eprint/92370/1/MuhammadSaqib2020_ApplicationofFractionalDerivativewithoutSingular.pdf
http://eprints.utm.my/id/eprint/92370/
http://dx.doi.org/10.3390/SYM12050768
_version_ 1712285084909830144
score 13.211869

Similar Items