Contributed Session 3:
Modeling, Math Biology and Math Finance
Concentration gradient driven flow of non-Newtonian fluid in a microchannel
Yogesh Kuntal
Birla Institute of Technology and Science Pilani India
Co-Author(s): Ashish Tiwari
Abstract:
The influence of a solute`s concentration gradient goes beyond simple diffusion, playing a critical role in the flow of fluids. To accurately describe how these chemical concentration gradients, carry the fluid along, a more robust mathematical model is needed. This model must capture the relationship between the dispersal of the solute and the movement of the fluid. In this study, we make a concerted effort to demonstrate the effects of these concentration gradients on the behavior of micropolar fluids in microchannels, utilizing the diffusioosmosis mathematical model. Our analysis focuses on a rectangular microchannel filled with a micropolar fluid and subjected to a controlled solute concentration gradient that follows a standard Gaussian distribution. To manage the distribution of solute within the channel, we employ the Taylor dispersion model, which accounts for both advection and diffusion. As the solute disperses, its concentration gradient induces a diffusioosmotic slip flow along the channel walls. This, in turn, generates a recirculating flow within the channel, leading to an advective movement of the solute concentration. This phenomenon not only causes the solute to shift across the streamlines but also alters the solute`s effective diffusivity as it moves down the channel.