Cattaneo-Christov heat flux-based micropolar nanofluid flow with relaxation, slip, and temperature jump effects

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. •Increasing the temperature jump parameter decreases the temperature and solute close to the wall.•Increasing the fluid parameter increases the velocity, micro-rotation and temperature while decreasing the solute.•The micro-inertia density parameter increases the velocity, micro-rotation and solute while decreasing the temperature.