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December 2019 (published: 17.12.2019)
Number 4(42)
Home > Issue > Hydrodynamic model for the viscosity of a mixture of supercritical carbon dioxide with vegetable oils in a capillary
Melnik G. E., Lisitsyn Dmitry A., Starkov A.S., Fedorov A.V. , Vlasov Yu.A., Starkov C.A., Fedorov A.A.
A hydrodynamic model for the motion of a two-layer fluid in a circular capillary is considered. It is assumed that a thin transition layer arises at the liquid boundary, which results in slippage of the layers relative to each other. The viscosity of the transition layer is considered a function of pressure and is specified by the Arrhenius formula with some changes, i.e., with increasing pressure the viscosity decreases exponentially. The proposed model is used to find the viscosity of a mixture for two liquids. A formula is derived for a mixture that differs from that previously known. A mixture of supercritical carbon dioxide and sunflower oil is considered as an example.
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Keywords: math modeling; two-fluid system motion model; capillary; dynamic viscosity; mixture formula; hydrodynamic model; pressure dependence; supercritical carbon dioxide; vegetable oils; sunflower oil.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
UDC 532.13 + 546.817
Hydrodynamic model for the viscosity of a mixture of supercritical carbon dioxide with vegetable oils in a capillary
A hydrodynamic model for the motion of a two-layer fluid in a circular capillary is considered. It is assumed that a thin transition layer arises at the liquid boundary, which results in slippage of the layers relative to each other. The viscosity of the transition layer is considered a function of pressure and is specified by the Arrhenius formula with some changes, i.e., with increasing pressure the viscosity decreases exponentially. The proposed model is used to find the viscosity of a mixture for two liquids. A formula is derived for a mixture that differs from that previously known. A mixture of supercritical carbon dioxide and sunflower oil is considered as an example.
Read the full article
Keywords: math modeling; two-fluid system motion model; capillary; dynamic viscosity; mixture formula; hydrodynamic model; pressure dependence; supercritical carbon dioxide; vegetable oils; sunflower oil.
DOI 10.17586/2310-1164-2019-12-4-48-54
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License