Microscale Falling Cylinder Viscometer With Slip Boundary

Abstract

This paper theoretically investigates the hydrodynamic behavior of a falling microcylinder viscometer. The Navier slip conditions are applied to all fluid/solid interfacial boundary conditions of the device. Previous investigations focused on the behavior at the macroscale level and did not consider the slip conditions. The slip coefficients for typical devices and operating conditions are found to be major parameters that affect the behavior of the microscale viscometer. Formulas for determining the viscosity coefficients using a microscale viscometer without considering slip conditions give inaccurate results. The theoretical model has been verified by comparing its predictions with that of the macroviscometer after neglecting the slip conditions.