MATHEMATICAL MODELS RELATING TO THE DETERMINATION OF THE VISCOSITY OF FLUIDS
Mathematical models relating to the determination of the viscosity of fluids The present report concerns the examination of mathematical models, that occur in the determination of the viscosity of fluids. The basic experience consists in the motion of a torsion pendulum. Several authors have treated the case of the oscillating cylinder. Our work is based on the equation of fluid dynamics for obtaining the equation of torsion pendulum. This yields an equation presenting analogies with the constant coefficients second order equation. The problems contains n parameters: the cylinder radius, the inertia moment of the system, the density of liquid... We finally obtain an equation containing the cinematic viscosity as unknown and depending on (n-1) parameters. There are several modes for formulating the torsion pendulum equation, we obtain thus various mathematical models. Ye. G. Shvidkovskiy model is very developed. A simpler model is that of L. J. Wittenberg who starts from the hypothesis, that the radius of cylinder may be neglected with respect to the height. The model is the most efficacious. Two other models are only to be applied for low viscosities. A sensitivity analysis concerning one of the models has been fulfilled.
Bibliographic Reference: VII. CONGRES DU GROUPEMENT DES MATHEMATICIENS D'EXPRESSION LATINE, COIMBRA (PORTUGAL), SEPT. 9-14, 1985 WRITE TO CEC LUXEMBOURG, DG XIII/A2, POB 1907 MENTIONING PAPER E 32286 ORA
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Record Number: 1989124079800 / Last updated on: 1987-01-01
Available languages: fr