Determination of the viscous resistance of a plane damper with a newtonian fluid using the equation similarity with the shaft torsion problem

The axisymmetric and non-axisymmetric motions of a viscoelastic fluid driven by the steady rotations of a pair of coaxial, parallel discs, each of infinite extent, are studied analytically and numerically. The constitutive equation and the equations of motion depend altogether on four parameters and the numerical scheme used is robust and is capable of discovering regular and limit point bifurcations as well as folds arising from the changes in the values of the parameters. First and foremost, the work reported here is an exhaustive collection of old and new results in the above flow problem, including the stability of the axisymmetric flows. Non-existence of bifurcations from the rigid body motion and their appearance from the torsional flow and other flows are found under a variety of conditions, extending from the newtonian to the non-newtonian fluid behaviour. Secondly, the use of a scaling lemma permits the determination of the solutions to the problem over the entire range of parameters from the known solutions obtained for a finite range of the parameters. Thirdly, the type of non-axisymmetric flows likely to occur in the two-disc problem are determined numerically and they show that slip-layers may exist in the flow regime. These findings seem to confirm the experimental observations in the coaxial flow of a non-newtonian fluid.

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Determination of Newtonian fluid viscosity and design constants of a rotary viscometer

Journal of Physics Conference Series ◽

10.1088/1742-6596/1515/4/042058 ◽

2020 ◽

Vol 1515 ◽

pp. 042058

Author(s):

I P Kondrashov ◽

P L Pavlova ◽

P M Kondrashov

Keyword(s):

Newtonian Fluid ◽

Fluid Viscosity ◽

Rotary Viscometer

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Determination of the viscous resistance of a plane damper with a newtonian fluid using the equation similarity with the shaft torsion problem

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Determination of Newtonian fluid viscosity and design constants of a rotary viscometer

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