Micropolar Couple Stress Nanofluid Flow by Non-Fourier’s-Law Heat Flux Model past a Stretching Sheet

Gosa Gadisa,Tagay Takele,Shibiru Jabessa,Marco Fontana

doi:10.1155/2021/6683711

Abstract

In this investigation, thermal radiation effect on MHD nonlinear convective micropolar couple stress nanofluid flow by non-Fourier’s-law heat flux model past a stretching sheet with the effects of diffusion-thermo, thermal-diffusion, and first-order chemical reaction rate is reported. The robust numerical method called the Galerkin finite element method is applied to solve the proposed fluid model. We applied grid-invariance test to approve the convergence of the series solution. The effect of the various pertinent variables on velocity, angular velocity, temperature, concentration, local skin friction, local wall couple stress, local Nusselt number, and local Sherwood number is analyzed in both graphical and tabular forms. The range of the major relevant parameters used for analysis of the present study was adopted from different existing literatures by taking into consideration the history of the parameters and is given by 0.07 ≤ Pr ≤ 7.0 , 0.0 ≤ λ , ε ≤ 1.0 , 0.0 ≤ R d , D f , S r , K , ≤ 1.5 , 0.0 ≤ γ E ≤ 0.9 , 0.9 ≤ S c ≤ 1.5 , 0.5 ≤ M ≤ 1.5 , 0.0 ≤ β ≤ 1.0 , 0 . 2 ≤ N b ≤ 0 . 4 , 0 . 1 ≤ N t ≤ 0 . 3 . The result obtained in this study is compared with that in the available literatures to confirm the validity of the present numerical method. Our result shows that the heat and mass transfer in the flow region of micropolar couple stress fluid can be enhanced by boosting the radiation parameters.

Highlights

Numerous mathematical models were proposed to study the rheological properties of non-Newtonian fluids. e fluid model pioneered by Eringen [1] in 1996 revealed the existence of microscopic effects resulting from the local structure and micromotion of the fluid constituents
We performed the gridindependence test or grid convergence test to confirm the convergence of the series solution. e effect of the relevant parameters on linear velocity, angular velocity, temperature, concentration, local skin friction, local wall couple stress, local Nusselt number, and local Sherwood number is elaborated in both graphical and tabular forms
Results and Discussion e main target of the present study is to analyze the effects of thermal radiation, diffusion-thermo (Dufour), thermaldiffusion (Soret), chemical reaction, and Cattaneo-Christov model on nonlinear convective MHD micropolar couple stress nanofluids past a linearly stretching surface. e robust numerical method called the Galerkin finite element method (GFEM) is applied to solve the proposed model

Summary

Introduction

Numerous mathematical models were proposed to study the rheological properties of non-Newtonian fluids. e fluid model pioneered by Eringen [1] in 1996 revealed the existence of microscopic effects resulting from the local structure and micromotion of the fluid constituents. E fluid model pioneered by Eringen [1] in 1996 revealed the existence of microscopic effects resulting from the local structure and micromotion of the fluid constituents. They can sustain couple stresses and comprise the Newtonian models as a special case. E importance of heat and mass transfer and micropolar fluid flow is evident in new and emerging areas of materials processing. Materials such as polymers, alloys, ceramics, composites, semiconductors, and optical materials need thermal energy for fabrication. Non-Fourier’s-law heat flux model is applied to govern the heat and mass transfer in the boundary layer flow region [7, 8]

Objectives

Results

Conclusion