Abstract
The present study deals with the electrically conducting micropolar nanofluid flow from a vertical stretching surface adjacent to a porous medium under a transverse magnetic field. Eringen’s micropolar model is deployed for non‐Newtonian characteristics and the Buongiorno nanofluid model employed for nanoscale effects (thermophoresis and Brownian motion). The model includes double stratification (thermal and solutal) and also chemical reaction effects, heat source, and viscous dissipation. Darcy’s model is employed for the porous medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. The nonlinear governing partial differential conservation equations are rendered into nonlinear ordinary differential equations via relevant transformations. An innovative semi‐numerical methodology combining the Adomian decomposition method (ADM) with Padé approximants and known as ADM‐Padé is deployed to solve the emerging nonlinear ordinary differential boundary value problem with appropriate wall and free stream conditions in MATLAB software. A detailed parametric study of the influence of key parameters on stream function, velocity, microrotation (angular velocity), temperature, and nanoparticle concentration profiles is conducted. Furthermore, skin friction coefficient, wall couple stress coefficient, Nusselt number, and Sherwood number are displayed in tables. The validation of both numerical techniques used, i.e., ADM and ADM‐Padé, against a conventional numerical 4th order Runge–Kutta method is also included and significant acceleration in convergence of solutions achieved with the ADM‐Padé approach. The flow is decelerated with greater buoyancy ratio parameter whereas microrotation (angular velocity) is enhanced. Increasing thermal and solutal stratification suppresses microrotation. Concentration magnitudes are boosted with greater chemical reaction parameter and Lewis number. Temperatures are significantly enhanced with radiative parameter. Increasing Brownian motion parameter depletes concentration values. The study finds applications in thermomagnetic coating processes involving nanomaterials with microstructural characteristics.
Highlights
Academic Editor: Nauman Raza e present study deals with the electrically conducting micropolar nanofluid flow from a vertical stretching surface adjacent to a porous medium under a transverse magnetic field
Eringen’s micropolar model is deployed for non-Newtonian characteristics and the Buongiorno nanofluid model employed for nanoscale effects. e model includes double stratification and chemical reaction effects, heat source, and viscous dissipation
Darcy’s model is employed for the porous medium and a Rosseland diffusion flux approximation for nonlinear thermal radiation. e nonlinear governing partial differential conservation equations are rendered into nonlinear ordinary differential equations via relevant transformations
Summary
We consider two-dimensional steady incompressible MHD chemically reacting micropolar nanofluid boundary layer coating flow over a vertical stretching surface to a Darcian isotropic porous medium under thermal and species buoyancy effects in an (x, y) coordinate system. ermal and solutal stratifications, as well as nonlinear thermal radiation, are all taken into account. e x-axis is plotted along the vertical surface and the y-axis is normal to this (Figure 1). We consider two-dimensional steady incompressible MHD chemically reacting micropolar nanofluid boundary layer coating flow over a vertical stretching surface to a Darcian isotropic porous medium under thermal and species buoyancy effects in an (x, y) coordinate system. E third term on the right-hand side of the energy conservation equation (4) is the thermal radiation flux term (Rosseland), the fourth term indicates the coupling effect of viscous dissipation, and the last term is the additional heat source/sink. The 2nd term on the right-hand side of the species (concentration) conservation equation (5) is due to thermal diffusion and the last term represents a first-order chemical reaction effect. Substitution of equations (10) in (2)–(9) generates the transformed dimensionless boundary layer equations for linear momentum, angular momentum, energy, and species, with associated boundary conditions, as follows:. Physical Quantities of Engineering Interest e skin friction (Cf), wall couple stress coefficient (Cs), Nusselt number (Nux), and Sherwood number (Shx) are important quantities for materials processing operations
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