Mathematical computations for the physiological flow of Casson fluid in a vertical elliptic duct with ciliated heated wavy walls
Wang Fuzhang, Salman Akhtar, S. Nadeem, A.S. El-Shafay
Abstract
This mathematical investigation discloses the peristaltic flow of non-Newtonian fluid in a vertical duct with an elliptic cross-section and ciliated walls. The Casson fluid’s non-Newtonian model is utilized for an elliptic duct with heated ciliated walls. The physical aspects of cilia-driven metachronal wave combined with sinusoidal wavy wall movement are highlighted. A set of dimensionless partial differential equations with relevant boundary conditions is obtained after simplifying the dimensional form of governing equations using appropriate transformations. A complete mathematical method is conveyed to get exact solutions for this convection heat transfer problem. The final solutions are further analyzed through graphical results. The increase in the value of γ changes the mechanism from non-Newtonian to a Newtonian flow. Moreover, if γ is increased to infinity, then it becomes a complete Newtonian fluid flow problem. Moreover, the velocity increases with an increasing value of γ.