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Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier's law

Sheikh NA 1 , Ching DLC 2 , Khan I 3 , Sakidin HB 2 , Jamil M 4 , Khalid HU 5 Show all authors , Ahmed N 4

Affiliations 

  • 1 Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS Perak, 32610, Seri Iskandar, Malaysia. nadeem_18000052@utp.edu.my
  • 2 Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS Perak, 32610, Seri Iskandar, Malaysia
  • 3 Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi Arabia. i.said@mu.edu.sa
  • 4 Department of Geosciences, Universiti Teknologi PETRONAS, 32610, Bandar Seri Iskandar, Perak, Malaysia
  • 5 Department of Mechanical Engineering, Universiti Teknologi PETRONAS, 32610, Bandar Seri Iskandar, Perak, Malaysia
Sci Rep, 2021 Aug 09;11(1):16117.
PMID: 34373521 DOI: 10.1038/s41598-021-95528-z

Abstract

The present work used fractional model of Casson fluid by utilizing a generalized Fourier's Law to construct Caputo Fractional model. A porous medium containing nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for energy equation and then solved by using integral transforms, combinedly, the Fourier and Laplace transformations. The results are shown in form of Mittag-Leffler function. The influence of physical parameters have been presented in graphs and values in tables are discussed in this work. The results reveal that heat transfer increases with increasing values of the volume fraction of nanoparticles, while the velocity of the nanofluid decreases with the increasing values of volume fraction of these particles.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.

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