article · Results in Engineering
Micropolar fluids contain rigid, randomly oriented particles that experience simultaneous translational and rotational motion within a viscous medium, resembling industrial lubricants carrying debris from metal shearing. In non-metallic heat transfer, phonon impedance creates temperature jump effects, while continuous disruptions to thermal, fluid, and concentration balances introduce relaxation phenomena. A mathematical framework using partial differential equations models these combined dynamics under relaxation, slip, and temperature jump conditions. Converting these equations into a boundary value problem allowed numerical solutions through the spectral quasilinearisation method. The findings demonstrate that higher micro-inertia density accelerates fluid motion, enhances micro-rotation, and boosts concentration, while decreasing fluid temperature within the boundary layer. Additionally, the micro-rotation parameter reduces wall couple stress across the surface.
Industrial systems frequently use complex fluids containing suspended particles, such as lubricants contaminated with metal scraps, where thermal and fluid equilibrium are continually disrupted. Understanding how micro-scale particle rotation, temperature jumps, and relaxation influence heat distribution and flow mechanics provides foundational theoretical insights for analysing thermal behaviours in demanding mechanical environments.
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Micropolar fluids are fluids that contain rigid and randomly oriented particles immersed in a viscous fluid, such as lubricants that contain dirt and metal scraps from shearing. These particles undergo translational and rotational motion simultaneously in the fluid. When heat is transferred between non-metallic mediums, an impedance to phonons is experienced. This gives rise to the temperature jump phenomenon. The continuous disruption of thermal, fluid, and concentration equilibrium conditions is a common feature in most industrial processes. This gives rise to the concept of relaxation. This paper investigates the combined effects of temperature jumps and relaxation effects. A system of partial differential equations is formulated to capture the dynamics. The system of partial differential equations is converted into a boundary value problem and solved numerically using the spectral quasilinearization method. Our key results show that increasing the micro-inertia density accelerates the fluid motion and increases the micro-rotation and concentration while reducing the fluid temperature in the boundary layer. The micro-rotation parameter is shown to reduce the wall couple stress.
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DOI: 10.1016/j.rineng.2024.102645
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