Heat and Mass Transfer Impact on Differential Type Nanofluid with Carbon Nanotubes: A Study of Fractional Order System
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Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper is an analysis of flow of MHD CNTs of second grade nano-fluid under the influence of first order chemical reaction, suction, thermal generation and magnetic field. The fluid is flowing through a porous medium. For the study of heat and mass transfer, we applied the newly introduced differential operators to model such flow. The equations for heat, mass and momentum are established in the terms of Caputo (C), Caputo-Fabrizio (CF) and Atangana-Baleanu in Caputo sense (ABC) fractional derivatives. This shows the novelty of this work. The equations for heat, mass and momentum are established in the terms of Caputo (C), Caputo-Fabrizio (CF) and Atangana-Baleanu in Caputo sense (ABC) fractional derivatives. The solutions are evaluated by employing Laplace transform and inversion algorithm. The flow in momentum profile due to variability in the values of parameters are graphically illustrated among C, CF and ABC models. It is concluded that fluid velocity showed decreasing behavior for chi, P, PLANCK CONSTANT OVER TWO PI2, Mo, Pr, & ALEPH; and Sc while it showed increasing behavior for Gr, Gm, kappa and Ao. Moreover, ABC fractional operator presents larger memory effect than C and CF fractional operators.
Açıklama
Anahtar Kelimeler
heat and mass transfer, power law, exponential law, nanofluid, carbon nanotube, non-local and non-singular kernel
Kaynak
Fractal and Fractional
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
5
Sayı
4
