Significant mathematical deductions of the double-diffusive convection on the Sisko fluid dynamics model driven by peristaltic movement within ciliated channel

Abstract

This study mainly focuses on mathematical modeling of Sisko fluid through peristaltic propagation with ciliated channel walls for magnetically induced flow, including double-diffusive convection. By applying suitable transformations and making them non-dimensional, utilizing various effective parameters that have noteworthy leverage in fluid dynamics, the fundamental PDEs are converted into ODEs. Computational data is obtained using MATLAB bvp4c, the impact of Prandtl number, thermal diffusion parameter, Brownian diffusion parameter, Lewis number, Grashof number and radiation parameter is determined. The main findings include increasing the cilia parameter h, the Sisko nanofluid's velocity magnifies during the movement while the MHD impact dwindles the velocity. The ciliated wall does not affect the temperature of the fluid, as cilia are responsible for the mixing or movement of fluid. Engineers can control fluid flow by simulating ciliated walls in microfluidic equipment at the microscale and improve the combination or segregation procedures.