Converging Cone Viscometry
For highly viscous liquids that slip in tube flow viscometers, we may sometimes use a converging flow to prevent slip. In this work, we attack the constant flow rate flow of a highly viscous Newtonian fluid through a converging cone with no slip boundaries using the equation of motion with constant density and viscosity combined with the equation of continuity with constant density. This work deepens our understanding of a controlled flow rate flow through a converging cone of arbitrary convergence angle by examining the cone in spherical coordinates. Worked examples for the calculation of viscosity from a converging cone viscometer are also included.
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