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

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.

ABC Fractional Order Vaccination Model for Covid-19 with Self-Protective Measures

“…The impact of the variables defining the governing commensurate model equations on the transference and control of the pandemic disease is validated by stimulating for the reported real time data from OWID-Covid data [ 51 ]. The most minimal fractional order derivatives yields better approximate results proved by researchers exist in the literature [ 22 – 26 , 28 – 31 , 42 – 48 ]. In view of that point, the fractional iterations of very smallest order simulations were shown with η = 0.02 for declining transmission rate of susceptibles β(1211.03, 1000.00, 800.13) in Fig.…”

“…In contempt of untiring computations of fractional operators, variety of numerical algorithms have been solved for rapid convergence of solutions. In addition to this, biophysical applications of fractional order models include Caputo modelling of Casson fluid with Fourier’s law [ 22 ], digital mask control design using Atangana Baleanu derivatives were investigated by Ghanbari and Atangana effectively [ 23 ], disease dynamics of various biological models also been studied for visceral leishmaniasis [ 24 ], dengue fever therein [ 25 ] and toxoplasmosis investigated therein [ 26 ].…”

Impact of Activation Energy and Heat Source/Sink on 3D Flow of Williamson Nanofluid with GaN Nanoparticles over A Stretching Sheet

“…Reference [44] studied the thermophysical characteristics and heat transport properties of an exceptionally stable CoFe2O4/GO nanofluid generated in green. Reference [45] investigated the properties of a fraction model of MHD flow of Casson fluid including cadmium telluride nanostructures using the extended Fourie's law.…”

Convective Heat Transport in Bidirectional Water Driven Hybrid Nanofluid Using Blade Shaped Cadmium Telluride and Graphite Nanoparticles under Electromagnetohydrodynamics Process

“…e uniqueness of this discussion is to present "variable viscosity along with natural convection in momentum equation and viscous dissipation in the energy equation." Sheikh et al [31] used the fractional model employing generalized Fourier's law for MHD dynamics of Casson fluid with cadmium telluride CdTe tiny-particles. Shah et al [32] presented a wide description of hybrid-class nanofluid, their features, preparations methods, and the starring role of hybrid-class nano-fluids in either direct or indirect energy harvesting system.…”