Abstract
The boundary layer flow of an incompressible viscoelastic Jeffrey’s nanofluid from a vertical permeable flat plate is investigated. We consider the effects of heat generation, thermal radiation, and chemical reaction on the fluid flow. The nonlinear transformed coupled differential equations that describe the transport processes are solved numerically using a multidomain bivariate spectral quasilinearization method (MD-BSQLM). This innovative method involves blending the quasilinearization idea with the bivariate Lagrange interpolation. The solutions of the resulting system of equations are then obtained sequentially on multiple intervals using the Chebyshev spectral collocation method. The method is shown to give accurate solutions for boundary layer-type equations. The influence of various physical parameters on velocity, temperature, and nanoparticle concentration fields, as well as on the skin friction and heat and mass transfer coefficients, is shown and discussed in detail. The range of the values of the governing parameters considered in this study is between 0 , 4 . For qualitative validation of the results and the numerical method used, calculations were carried out to graphically obtain the velocity, temperature, and nanoparticle concentration fields for selected physical parameter values. The results obtained were found to correlate with the results from published literature. For quantitative verification of our findings, the MD-BSQLM numerical solutions were again confirmed against published results reported in the literature, and the results were observed to be in perfect agreement. This study’s findings indicate that the Deborah number and suction parameter have related effects on the velocity profile, which is to suppress both the flow velocity and the momentum boundary layer thickness. Increasing the heat generation and thermal radiation parameters enhances both the temperature and thermal boundary layer depths. In contrast, an increase in the chemical reaction parameter causes a decrease in the fluid concentration.
Highlights
The study of non-Newtonian fluid flow has been an active area of interest in the past several decades, concerning heat and mass transfer processes in industrial processes such as the manufacture of plastic films and artificial fibers, cooling of metallic sheets, aerodynamic extrusion of plastic sheets, liquid film condensation, and crystal growing
This work is aimed at studying the effects of heat generation, thermal radiation, chemical reaction, and some other parameters discussed in the problem on natural convection viscoelastic Jeffrey’s nanofluid flow from a vertical permeable flat plate
We have investigated the combined effects of the Soret and Dufour numbers, thermal radiation, heat generation, and chemical reaction on natural convection viscoelastic Jeffrey’s nanofluid flow from a vertical permeable flat plate
Summary
The study of non-Newtonian fluid flow has been an active area of interest in the past several decades, concerning heat and mass transfer processes in industrial processes such as the manufacture of plastic films and artificial fibers, cooling of metallic sheets, aerodynamic extrusion of plastic sheets, liquid film condensation, and crystal growing. According to Shehzad et al [1], non-Newtonian fluids do not obey Newton’s law of viscosity. In such fluids, nonlinearity exists between the shear stress and the strain rate relation, thereby making the flow model complicated and relating the shear stresses to the velocity field [2]. An interesting and one of the simplest subclasses of non-Newtonian fluids is Jeffrey’s fluid. This is because Jeffrey’s fluid model utilizes the time derivatives instead of converted derivatives and degenerates to the Newtonian model at very high wall shear stress [2].
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