Application of geometric models for calculation of viscosity and density of LiNO3 and CsNO3 based ternary nitrate salt systems

The article discusses the method of solving the task 18 on the Unified State Examination in Informatics (Russian EGE). The main idea of the method is to write the conditions of the problem utilizing the language of formal logic, using elementary predicates. According to the laws of logic the resulting complex logical expression would be transformed into an expression, according to which a geometric model is supposed to be constructed which allows to obtain an answer. The described algorithm does allow high complexity problem to be converted into a simple one.

Download Full-text

The solubility of calcium carbonate in green liquor handling systems

TAPPI Journal ◽

10.32964/tj18.10.595 ◽

2019 ◽

Vol 18 (10) ◽

pp. 595-602

Author(s):

ALISHA GIGLIO ◽

VLADIMIROS G. PAPANGELAKIS ◽

HONGHI TRAN

Keyword(s):

Calcium Carbonate ◽

Systematic Study ◽

Kraft Pulp ◽

Thermodynamic Simulation ◽

Solubility Data ◽

Pulp Mills ◽

Persistent Problem ◽

Green Liquor ◽

Kraft Pulp Mills ◽

Salt Systems

The formation of hard calcite (CaCO3) scale in green liquor handling systems is a persistent problem in many kraft pulp mills. CaCO3 precipitates when its concentration in the green liquor exceeds its solubility. While the solubility of CaCO3 in water is well known, it is not so in the highly alkaline green liquor environment. A systematic study was conducted to determine the solubility of CaCO3 in green liquor as a function of temperature, total titratable alkali (TTA), causticity, and sulfidity. The results show that the solubility increases with increased temperature, increased TTA, decreased causticity, and decreased sulfidity. The new solubility data was incorporated into OLI (a thermodynamic simulation program for aqueous salt systems) to generate a series of CaCO3 solubility curves for various green liquor conditions. The results help explain how calcite scale forms in green liquor handling systems.

Download Full-text

Volumetric Representation and Manipulation of Geometric Models

10.21236/ada389494 ◽

2001 ◽

Author(s):

Greg Turk ◽

F. S. Nooruddin ◽

James F. O'Brien ◽

Gary Yngve

Keyword(s):

Geometric Models ◽

Volumetric Representation

Download Full-text

PHASE EQUILIBRIUM DIAGRAMS FOR FUSED SALT SYSTEMS

10.2172/4152617 ◽

1957 ◽

Cited By ~ 3

Author(s):

R. E. Thoma ◽

W. R. Grimes

Keyword(s):

Phase Equilibrium ◽

Salt Systems ◽

Fused Salt

Download Full-text

Decision with multiple alternatives: Geometric models in higher dimensions — the disk model

Journal of Mathematical Psychology ◽

10.1016/j.jmp.2020.102493 ◽

2021 ◽

Vol 100 ◽

pp. 102493

Author(s):

Keivan Mallahi-Karai ◽

Adele Diederich

Keyword(s):

Higher Dimensions ◽

Disk Model ◽

Geometric Models

Download Full-text

Anyon Networks from Geometric Models of Matter

The Quarterly Journal of Mathematics ◽

10.1093/qmath/haab004 ◽

2021 ◽

Author(s):

Michael Atiyah ◽

Matilde Marcolli

Keyword(s):

Normal Bundle ◽

Present Form ◽

Joint Work ◽

Geometric Models ◽

Tensor Networks

Abstract This paper, completed in its present form by the second author after the first author passed away in 2019, describes an intended continuation of the previous joint work on anyons in geometric models of matter. This part outlines a construction of anyon tensor networks based on four-dimensional orbifold geometries and braid representations associated with surface-braids defined by multisections of the orbifold normal bundle of the surface of orbifold points.

Download Full-text