ENGINEERING MODEL FOR THE CONSOLIDATION OF OIL SEED MATERIAL DURING VISCOPLASTIC DEFORMATION

2020 ◽  
Author(s):  
А.В. Гукасян ◽  
Д.А. Шилько
Keyword(s):  
Equations Of State ◽  
Liquid Mixture ◽  
Pressure Change ◽  
Viscoplastic Deformation ◽  
Displacement Gradient ◽  
One Dimensional ◽  
Velocity Gradients ◽  
Calculation Process ◽  
Dimensional Version ◽  
Solid Liquid

Cоставлено модельное уравнение консолидации масличного материала, учитывающее процесс его вязкопластичной деформации для неньютоновской твердожидкой смеси. Использованы параллельные соединения моделей Ньютона с вязкостью ηН и Сен-Венана с пределом текучести σ0. Обе формулы представлены в виде конститутивных реологических уравнений состояния. В процессе расчета использовано прямое и обратное преобразования Лапласа. Рассмотрен одномерный вариант пластической деформации масличного материала. Выведены градиенты смещения и скорости. Полученное уравнение распределения давления по высоте слоя материала позволяет определить изменение давления по толщине прессуемого материала с учетом его вязкопластичной деформации. The aim of the study was to compile a model equation for the consolidation of oilseeds, taking into account the process of its viscoplastic deformation for a non-Newtonian solid/liquid mixture. To compile the equation, we used in parallel a combination of Newton models with viscosity ηН and Saint-Venant with yield strength σ0. Both formulas are constitutive rheological equations of state. In the calculation process, the direct and inverse Laplace transforms were used, and a one-dimensional version of the plastic deformation of the oil material was considered, due to which the displacement gradient and velocity gradients were derived. As a result, the obtained equation of pressure distribution over the height of the material layer allows one to determine the pressure change over the thickness of the pressed material, taking into account its viscoplastic deformation.

Investigation of two-dimensional nonstationary processes of outflow a gas-saturated liquid from axisymmetric vessels

2012 ◽  
Vol 9 (1) ◽  
pp. 47-52
Author(s):  
R.Kh. Bolotnova ◽  
V.A. Buzina
Keyword(s):  
Comparative Analysis ◽  
Numerical Model ◽  
Liquid Mixture ◽  
Phase Model ◽  
Test Problems ◽  
Two Dimensional ◽  
Nonstationary Processes ◽  
Saturated Liquid ◽  
Two Phase ◽  
One Dimensional

The two-dimensional and two-phase model of the gas-liquid mixture is constructed. The validity of numerical model realization is justified by using a comparative analysis of test problems solution with one-dimensional calculations. The regularities of gas-saturated liquid outflow from axisymmetric vessels for different geometries are established.

scholarly journals Classification of one-dimensional superattracting germs in positive characteristic

2014 ◽  
Vol 35 (7) ◽  
pp. 2242-2268 ◽  
Author(s):  
MATTEO RUGGIERO
Keyword(s):  
Positive Characteristic ◽  
Closed Field ◽  
Algebraically Closed Field ◽  
One Dimensional ◽  
Higher Dimensional ◽  
Dimensional Version

We give a classification of superattracting germs in dimension $1$ over a complete normed algebraically closed field $\mathbb{K}$ of positive characteristic up to conjugacy. In particular, we show that formal and analytic classifications coincide for these germs. We also give a higher-dimensional version of some of these results.

Mathematical Modeling of a Solid–Liquid Mixture with Mass Exchange Between Constituents

2006 ◽  
Vol 11 (6) ◽  
pp. 575-595 ◽  
Author(s):  
L. Fusi ◽  
A. Farina ◽  
D. Ambrosi
Keyword(s):  
Mathematical Modeling ◽  
Liquid Mixture ◽  
Solid Phase ◽  
Deformation Gradient ◽  
Elastic Solid ◽  
Solid Deformation ◽  
Solid Stress ◽  
Phase Deformation ◽  
Mass Conversion ◽  
Solid Liquid

The mechanical behavior of a mixture composed by an elastic solid and a fluid that exchange mass is investigated. Both the liquid flow and the solid deformation depend on how the solid phase has increased (diminished) its mass, i.e. on the mass conversion between constituents. The model is developed introducing a decomposition of the solid phase deformation gradient. In particular, exploiting the criterion of maximization of the rate of entropy production, we determine an explicit evolution equation for the so-called growth tensor which involves directly the solid stress tensor. An example of a possible choice of the constitutive functions is also presented.

Aromatic fluorocarbon mixtures. VI. Vapour pressures of carbon tetrachloride + hexafluorobenzene

1974 ◽  
Vol 27 (10) ◽  
pp. 2159 ◽  
Author(s):  
NF Pasco ◽  
DV Fenby
Keyword(s):  
Carbon Tetrachloride ◽  
Thermodynamic Properties ◽  
Equations Of State ◽  
Liquid Mixture ◽  
Excess Enthalpies ◽  
Molar Excess ◽  
Mixture Theories

Measurements are reported of the vapour pressures of the system carbon tetrachloride + hexafluorobenzene at 278.68 K. The molar excess Gibbs functions GE/M, obtained from these measurements have been combined with previously reported molar excess enthalpies to give GE/M at 298 K. Thermodynamic properties of CCl4+C6F6 at 298 K are compared with the predictions of liquid mixture theories based on analytic equations of state.

Measuring Solid-Liquid Mixture in Closed Conduits

1968 ◽  
Vol 94 (4) ◽  
pp. 453-464
Author(s):  
Richard N. Weisman ◽  
Walter H. Graf
Keyword(s):  
Liquid Mixture ◽  
Solid Liquid
Sign in / Sign up

Export Citation Format

Share Document