Abstract
The boundary layer micropolar fluid over a horizontal plate embedded in a non-Darcy porous medium is investigated in this study. This paper is solely focused on contributions oriented towards the application of micropolar fluid flow over a stretching sheet. The prime equations are renewed to ordinary differential equations with the assistance of similarity transformation; they are then subsequently solved numerically using the spectral quasi-linearization method (SQLM) for direct Taylor series expansions that can be applied to non-linear terms in order to linearize them. The spectral collocation approach is then applied to solve the resulting linearized system of equations. The paper acquires realistic numerical explanations for rapidly convergent solutions using the spectral quasi-linearization method. Convergence of the numerical solutions was monitored using the residual error of the PDEs. The validity of our model is established using error analysis. The impact of different geometric parameters on angular velocity, temperature, and entropy generation numbers are presented in graphs. The results show that the entropy generation number decelerates with an increase in Reynolds number and Brinkmann number. The velocity profile increases with the increasing material parameter. The results indicate that the fluid angular velocity decreases throughout the boundary layer for increasing values of the material parameter.
Highlights
Micropolar fluids are those in which the local micro-structure and intrinsic motion of fluid particles are considered in the flow regimen
We investigated the effect of certain parameters on the flow in order to gain a better understanding of the flow dynamics
It is clear from this figure that an increase in the value of the material parameter leads to an increase in the velocity profile due to the effect of the micropolar fluid
Summary
Micropolar fluids are those in which the local micro-structure and intrinsic motion of fluid particles are considered in the flow regimen. Examples of micropolar fluids include industrial collodal fluids, polymeric suspensions, and liquid crystals. The theory of micropolar fluids, which was championed by Eringen [1,2], describes fluids that are composed of rigid and randomly oriented particles that are suspended in a viscous medium [3]. Non-Newtonian fluids, a class of fluids to which micropolar fluids belong, have many applications in engineering, agriculture, meteorology, industry, and so on. Colloidal fluids, ferro-liquids, polymeric fluids, exotic lubricants, and many others. The presence of dust in the air and blood flow in veins, arteries, and capillaries may be studied using micropolar fluid dynamics
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