Analyzing the impact of induced magnetic flux and Fourier’s and Fick’s theories on the Carreau-Yasuda nanofluid flow

Abstract

The current study analyzes the effects of modified Fourier and Fick's theories on the Carreau-Yasuda nanofluid flow over a stretched surface accompanying activation energy with binary chemical reaction. Mechanism of heat transfer is observed in the occurrence of heat source/sink and Newtonian heating. The induced magnetic field is incorporated to boost the electric conductivity of nanofluid. The formulation of the model consists of nonlinear coupled partial differential equations that are transmuted into coupled ordinary differential equations with high nonlinearity by applying boundary layer approximation. The numerical solution of this coupled system is carried out by implementing the MATLAB solver bvp4c package. Also, to verify the accuracy of the numerical scheme grid-free analysis for the Nusselt number is presented. The influence of different parameters, for example, reciprocal magnetic Prandtl number, stretching ratio parameter, Brownian motion, thermophoresis, and Schmidt number on the physical quantities like velocity, temperature distribution, and concentration distribution are addressed with graphs. The Skin friction coefficient and local Nusselt number for different parameters are estimated through Tables. The analysis shows that the concentration of nanoparticles increases on increasing the chemical reaction with activation energy and also Brownian motion efficiency and thermophoresis parameter increases the nanoparticle concentration. Opposite behavior of velocity profile and the Skin friction coefficient is observed for increasing the stretching ratio parameter. In order to validate the present results, a comparison with previously published results is presented. Also, Factors of thermal and solutal relaxation time effectively contribute to optimizing the process of stretchable surface chilling, which is important in many industrial applications.

Peristaltic Transport of Carreau Coupled Stress Nanofluid with Cattaneo-Christov Heat Flux Model Inside a Symmetric Channel

“…Therefore, rising in 𝑊 𝑒 𝑐 deemed as reason for decaying in the viscosity of the fluid, which enlarges the axial velocity 𝑞 𝜁 correspondingly. This demeanor is totally consistent to the behavior that reported in [15], [32], and [35]. Figure 3 portrays the impact of the velocity slip parameter𝛽 1 𝑠 on the axial velocity 𝑞 𝜁 .…”

“…one found that an enhancement in 𝑁 𝑏𝑟 enlarges 𝜃 𝐸 . This resultant outcome is compatible with that illustrated by [9], [15] and [33]. Finally, 𝜃 𝐸 has a progressive reduction for diverse values of both 𝐷 𝑓 as well as 𝑆 𝑜𝑟 .…”

“…Subsequently, Christov [7] developed the model of Cattaneo, which is called the Cattaneo-Christov heat flux model. Numerous research works were conducted to analyze the impacts of Cattaneo-Christov heat flux [8][9][10][11][12][13][14][15][16][17][18][19].…”

Two-dimensional nanofluid flow impinging on a porous stretching sheet with nonlinear thermal radiation and slip effect at the boundary enclosing energy perspective

“…Samrat et al 12 investigated the heat transfer (HT) in hybrid NF and gave the simultaneous solutions. Some application of NF applied for different physical problems were studied in 13 – 25 .…”

Buoyancy Effects in the Peristaltic Flow of a Prandtl-Eyring Nanofluid with Slip Boundaries

“…Hayat et al [17] considered this phenomenon for the peristaltic flow of fourth-grade fluid. Bashir et al [18] considered magnetic flux and Fourier/Ficks theories on effects in the peristaltic motion of Carreau-Yasuda nanofluid. Zahid et al [19] showed informative results by taking hybrid nanofluid with entropy effect.…”