Abstract

The purpose of this work is to examine the flow of a binary mixture including chemically inert incompressible Newtonian fluids in a duct of semicircular cross-section. Such a flow model has great significance not only of its own theoretical interest, but also for application to various engineering processes. The governing equations have been solved analytically using the finite Fourier sine and Hankel transforms for the following four problems: (1) steady Couette flow in a semicircular duct, (2) unsteady Couette flow in a semicircular duct, (3) steady Poiseuille flow in a semicircular duct, (4) unsteady Poiseuille flow in a semicircular duct. The previous solutions corresponding to pure Newtonian fluid appear as the special cases of the present analysis.

Key words: Binary mixture, Newtonian fluid, Couette flow, Poiseuille flow, Fourier sine transform, Hankel transform.