Abstract
In this paper, the MHD flow of a micropolar nanofluid on an exponential sheet in an Extended-Darcy-Forchheimer porous medium have been considered. Buongiorno’s model is considered in order to formulate a mathematical model with different boundary conditions. The governing partial differential equations (PDEs) of the nanofluid flow are changed into a third order non-linear quasi-ordinary differential equation (ODE), using the pseudo-similarity variable. The resultant ODEs of the boundary value problems (BVPs) are renewed into initial value problems (IVPs) using a shooting method, and then the IVPs are solved by a fourth order Runge-Kutta (RK) method. The effects of various physical parameters on the profiles of velocity, temperature, microrotation velocity, concentration, skin friction, couple stress coefficients, heat, and concentration transfer are demonstrated graphically. The results reveal that triple solutions appear when S ≥ 2.0337 for K = 0.1 and S ≥ 2.7148 for K = 0.2 . A stability analysis has been performed to show the stability of the solutions; only the first solution is stable and physically possible, whereas the remaining two solutions are not stable.
Highlights
Micropolar fluid is a polar fluid which contains rigid randomly oriented or spherical particles.It can be defined as a fluid with micro structures and belongs to the nonsymmetric stress tensor [1].this fluid model is employed to analyze the behavior of liquid crystals and exotic polymeric fluid or lubricant colloidal suspensions
The resultant equations, after performing the pseudo-similarity variable in the form of a third-order non-linear quasi-ordinary differential equation, have been solved using the shooting method with the RK-method; we found triple solutions
We noted that when K = 0 (Newtonian fluid), the second solution did not exist
Summary
Micropolar fluid is a polar fluid which contains rigid randomly oriented or spherical particles.It can be defined as a fluid with micro structures and belongs to the nonsymmetric stress tensor [1].this fluid model is employed to analyze the behavior of liquid crystals and exotic polymeric fluid or lubricant colloidal suspensions. Micropolar fluid is a polar fluid which contains rigid randomly oriented or spherical particles. It can be defined as a fluid with micro structures and belongs to the nonsymmetric stress tensor [1]. This fluid model is employed to analyze the behavior of liquid crystals and exotic polymeric fluid or lubricant colloidal suspensions. The concept of the electrically conducting fluids motion in the presence of a magnetic field is called magnetohydrodynamics, or MHD for short. MHD is known as magnetofluid dynamics and hydromagnetic, which can be defined as the study of the dynamics of the electromagnetic field and the electrically conducting fluids. Kumar et al [8] examined the MHD flow of micropolar
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