Theoretical substantiation of using dissipative method for studying rheological properties of highly viscous liquids

DOI: 10.17586/1606-4313-2024-23-3-62-69
UDC 663.1

Theoretical substantiation of using dissipative method for studying rheological properties of highly viscous liquids

Vyacheslav B. Tishin , Alexander G. Novoselov

For citation: Tishin V.B., Novoselov A.G. Theoretical substantiation of using dissipative method for studying rheological properties of highly viscous liquids. Journal of International Academy of Refrigeration. 2024. No 3. p. 62-69. DOI: 10.17586/1606-4313-2024-23-3-62-69

Abstract
One of the main tasks of applied hydrodynamics is the development of methods to reduce hydrodynamic resistance in the flow of liquids in pipeline systems, in the technological equipment, and for external flow of solid bodies. To solve these problems, it is necessary to know the physical properties of the fluids under study as accurately as possible. The known methods of experimental determination of the coefficient of dynamic viscosity – the most important value, have certain disadvantages. We consider a fundamentally new method of rheological studies of liquids, namely dissipative, based on the law of conservation of energy. The essence of the method is that in the process of mixing highly viscous liquids, when the liquid moves in a closed, heat-insulated volume, the mechanical energy of friction forces is transformed into thermal energy, inevitably causing a temperature rise in the entire volume. The interrelation between the liquid temperature rise and its viscous properties is shown and a mathematical dependence, in which the criterion of geometric similarity of dissipative viscometers is introduced, is obtained. Experimental verification of the proposed method is carried out using an apparatus with a mechanical stirrer. The object of the research is an aqueous solution of glycerol with a concentration of 95%. The discrepancy between the known value of the dynamic viscosity coefficient – 0.523 Pa·s – and the one calculated by equation (24) – 0.525 Pa·s – c does not exceed 0.4%, which indicates the reliability of the given theoretical considerations. Further experimental verification of the proposed method on non-Newtonian fluids, as well as on fluids with a more complex phase composition – microbiological suspensions – is expected.

Keywords: dissipative method, rheological studies, energy, viscosity, mixing, shear rate.