Bernoulli Equations in the Light of the Kinetic Theory of Liquids Supposed the Theoretical Derivation of the Viscosity Equation
[Full Text]
AUTHOR(S)
Anatoly S. Yurchenko, Stepan A. Yurchenko
KEYWORDS
liquids, viscosity, density, energy balance, Bernoulli equation, liquid particles
ABSTRACT
The method of a certain liquid viscosity study has been developed on the base of the force balance level. At the same time, consideration of the process at the energy balance level with the theoretical derivation of the viscosity equation made it possible to clarify the mechanism of its manifestation and propose a technique for calculating pressure differences in channels of different sizes. It takes into account even abnormal manifestations of viscosity. The theoretical derivation of the viscosity equation revealed a uniform pattern for all the liquids studied. Thus it manifests itself in the fact that the same viscosity value should be observed at the same pressure or the same shear stress under the condition of the same duration of the liquid exposure to a load. It is also shown that Bernoulli's theorem on the energy of a moving liquid particle is applicable due to the fact that, as a result of mathematical transformations, characteristic of specific energy were introduced. The particle energy has been determined by means of elementary volume and elementary mass and theoretical derivation of the viscosity equation.
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