Microrotation and shear stress modulation in thermo-solutal convection through micropolar fluid undergoing peristaltic transport with cross-diffusion and thermohydrodynamic effects
摘要
The study explores the peristaltic motion of micropolar fluids through asymmetrically slanted tapering channel under thermo-diffusion and diffusion-thermal, hall current and thermal radiation effects. The study develops a two-dimensional incompressible fluid model for micropolar system which utilizes sinusoidal wave patterns at the channel edges. This work uniquely integrates multiple coupled transport phenomena within a geometrically complex, non-uniform microchannel, a configuration that has not been extensively explored in existing literature. The lubrication approximation is used to simplify the mathematical model, applicable under the conditions of a low Reynolds number and an extended wavelength, therefore emphasising the preeminence of viscous forces. This method facilitates the formulation of analytical formulas for the velocity field, microrotation, temperature profile, and concentration distribution. The results demonstrate that a rise in the hall current parameter enhances microrotation velocity in the central region, while reducing it near the channel walls, due to alterations in momentum distribution. The soret number increases microrotation velocity in the left half of the channel while decreasing it on the right, due to the effects of concentration gradients. Shear stress at the channel walls is significantly influenced by thermal radiation, the heat transfer biot number, and the soret number. An increase in these parameters leads to a reduction in left-wall shear stress and a concurrent rise in right-wall shear stress. The pressure gradient decreases with an increase in the hartmann number, indicating the suppression of flow due to Lorentz forces. Analysis of temperature distribution indicates that elevated prandtl and soret numbers enhance fluid temperature, whereas increased thermal radiation results in temperature reductions. The concentration of fluid diminishes as soret, prandtl, and schmidt numbers increase, while it rises with greater thermal radiation and mass transfer biot number. The results are vital for biological applications like blood flow management and thermotherapy, where the regulation of heat and mass transport in microfluidic settings is crucial.