Newtonian Poiseuille flow in ducts of annular-sector cross-sections with Navier slip.

Abstract We consider the Newtonian Poiseuille flow in a duct the cross section of which is either a circular or an annular sector assuming that Navier slip occurs either along both the cylindrical walls or only along the outer cylindrical wall. A general analytical solution is derived and the results for the latter case are discussed and the effects of the angle of the sector, the radii ratio and the slip number are analysed. Highlights • The Newtonian Poiseuille flow in ducts of annular-sector or circular-sector cross-sections is considered. • Navier slip is assumed to occur along the circular walls. • A general analytical solution is derived for the above flow. • The effects of the sector angle, the radii ratio and the slip number are analysed. [ABSTRACT FROM AUTHOR]