Thermal management for the shear-rate driven flow of Carreau fluid in a ciliated channel

Abstract

Cilia beating impacts bio-fluid transport, and the channels with ciliated walls are ubiquitous functions. This innovative study investigates the properties of Careau fluid’s heat and mass transport in a ciliated channel. A 2D wavy channel caused by a metachronal wave of cilia beating is taken, and the flow is considered laminar and incompressible. The viscosities of a generalized Newtonian fluid (Carreau fluid) are affected by both infinite and zero shear rates. It is necessary to convert fixed coordinates to moving coordinates. The system is then clarified on the assumption that the half-width of the channel is significantly less than the wavelength of the metachronal wave and Reynolds number Re is lower. Small Reynolds number and wave number hypotheses simplify the constitutive equations. To resolve the simplified system, a perturbation approach using a stream function is employed. In the end, in this work, the relationship between the thermal transfer coefficient and temperature distribution was shown. various physical factors. This research investigates the effects of several boundary layers on fluid flow. Additionally, there are graphs showing the growth in pressure, velocity field, and streamline. The aim is to provide promising outcomes in creating biomaterial and biomedical devices. It is observed that an accelerate in cilia length accelerates horizontal velocity and time mean volume flow rate and that apparent deceleration emerges in the boundary regions.