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.
Highlights
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
In light of the above literature review, this current study is focused to scrutinize the detailed aspects of induced magnetic flux and modified Fourier and Fick’s theories on Carreau-Yasuda nanofluid flow with binary chemical reaction and activation energy
The impact of different emerging thermophysical parameters on the heat transfer rate as well as on the skin friction coefficient is presented in Tables 1 and 2
Summary
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. They explained when an induced magnetic field is enhanced the transfer rate of heat as well as Skin friction is enhanced. Tanveer et al.[20] addressed the influence of the radial magnetic field with velocity and thermal slip effects on the peristaltic flow of the Carreau-Yasuda fluid.
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