Investigation of micropolar fluid flow in a helical pipe via asymptotic analysis

In this paper we study the flow of incompressible micropolar fluid through a pipe with helical shape. Pipe’s thickness and the helix step are considered as the small parameter ε. Using asymptotic analysis with respect to ε, the asymptotic approximation is built showing explicitly the effects of fluid microstructure and pipe’s distortion on the velocity distribution. The error estimate for the approximation is proved rigorously justifying the obtained model.

► Micropolar fluid flow through a helical pipe is studied using asymptotic analysis. ► Pipe’s thickness and the helix step are considered as the small parameter. ► Asymptotic model with high order of accuracy is derived. ► It explicitly acknowledges the effects of fluid microstructure and pipe’s distortion. ► The error estimate for the approximation is proved.