Title:
The Impact of Thermophoresis and Brownian Motion on Non-Newtonian Fluids Flow in a Channel Due to Peristaltic Waves

Authors:
Seun A. Babatunde, Adisa O. Areo, Olusegun A. Ajala, Henry H. Egbeniyi, Adesola D. Adediran., Nigeria

Abstract:

This study explores how thermophoresis and Brownian motion influence the heat and mass transfer behavior of a Casson nanofluid moving through a two-dimensional channel driven by peristaltic waves. By transforming the governing equations for momentum, energy, and nano-particle concentration into dimensionless form and solving them numerically using the Fourth Order Runge Kutta Method (RKM4), an examination on how key parameters such as the Casson fluid parameter, Brownian motion, thermophoresis, and the Prandtl number affect velocity, temperature, and concentration profiles was carried out in this work. The findings of the analysis reveals that thermophoresis pushes nanoparticles away from heated surfaces, increasing both temperature and concentration within the channel, while Brownian motion enhances these effects through intensified particle diffusion. A higher Casson parameter reduces velocity due to greater fluid resistance, and the combined action of thermophoresis and Brownian forces strongly shapes overall heat and mass transfer. The study highlights the importance of considering non-Newtonian properties and nanoparticle dynamics when modeling peristaltic systems, with implications for thermal management, biomedical device design, and drug delivery applications.

DOI: http://dx.doi.org/10.51505/ijaemr.2026.1105