Analysis of a Newly Developed Damped-Oscillation Rheometer: Newtonian Liquid

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Abstract
The behavior of a newly developed damped-oscillation rheometer was analyzed for Newtonian liquids from both theoretical and experimental points of view. This rheometer consists, essentially, of a cylindrical tube suspended from a torsion wire that is filled with the liquid to be tested. In order to determine the relationship between the rheological parameters of the liquid and the period or the logarithmic damping factor measured by this rheometer, a Newtonian liquid was considered as a first test liquid. Based on various assumptions, the equations of motion for the liquid and the cylindrical tube were solved simultaneously. Numerical solutions and approximate analytical solutions valid for certain ranges of the parameters were obtained. The results are compared with experimental results which we measured using this rheometer.