eprintid: 12714
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/01/27/14
datestamp: 2023-11-10 03:27:16
lastmod: 2023-11-10 03:27:16
status_changed: 2023-11-10 01:49:21
type: article
metadata_visibility: show
creators_name: Sheikh, N.A.
creators_name: Ching, D.L.C.
creators_name: Khan, I.
creators_name: Kumar, D.
creators_name: Nisar, K.S.
title: A new model of fractional Casson fluid based on generalized Fick's and Fourier's laws together with heat and mass transfer
ispublished: pub
keywords: Functions; Magnetite; Magnetohydrodynamics; Mass transfer, Casson fluids; Fourier's law; Fractional derivatives; Heat-mass transfer; Mittag-Leffler functions, Fourier transforms
note: cited By 67
abstract: A new technique for modelling the fractional model of Casson fluid is used. More exactly, the Caputo fractional model has been developed using the generalized Fick's and Fourier's laws. The magnetohydrodynamics free convection flow of Casson fluid in a channel has been considered. A new transformation is applied to the energy and mass equations and then solved by using the Laplace and Fourier sine transformations jointly. The final solutions are presented in terms of special function, namely, the Mittag-Leffler function. The effects of various physical parameters have been portrayed in graphs and tables and discussed. © 2019 Faculty of Engineering, Alexandria University
date: 2020
publisher: Elsevier B.V.
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85077390648&doi=10.1016%2fj.aej.2019.12.023&partnerID=40&md5=e1deb3c2a550ae9c422376bf09acc0f7
id_number: 10.1016/j.aej.2019.12.023
full_text_status: none
publication: Alexandria Engineering Journal
volume: 59
number: 5
pagerange: 2865-2876
refereed: TRUE
issn: 11100168
citation:   Sheikh, N.A. and Ching, D.L.C. and Khan, I. and Kumar, D. and Nisar, K.S.  (2020) A new model of fractional Casson fluid based on generalized Fick's and Fourier's laws together with heat and mass transfer.  Alexandria Engineering Journal, 59 (5).  pp. 2865-2876.  ISSN 11100168