15 research outputs found
ΠΡΠ΅Π½ΠΊΠ° ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠ°ΡΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ΠΈΡ ΡΡΠΎΠ²Π½Ρ ΠΏΠΈΡΠ°Π½ΠΈΡ ΠΏΡΠΈ ΡΠ΅ΠΊΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Π±ΠΈΠ½Π°ΡΠ½ΡΡ ΠΈ ΠΌΠ½ΠΎΠ³ΠΎΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΠ½ΡΡ ΡΠΌΠ΅ΡΠ΅ΠΉ ΡΠ°Π·Π½ΠΎΠΉ ΠΏΡΠΈΡΠΎΠ΄Ρ
On the basis of entropy production criteria components of an estimation of an rectification columns power supply optimum level are developed for a case binary and multicomponent mixtures of any physical and chemical nature. By means of these criteria the levels of optimal power supply confirmed with data of natural experiment are defined.Π Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½Ρ ΠΊΡΠΈΡΠ΅ΡΠΈΠΈ ΠΎΡΠ΅Π½ΠΊΠΈ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΡΠΎΠ²Π½Ρ ΠΏΠΈΡΠ°Π½ΠΈΡ ΡΠ΅ΠΊΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΡΡ
ΠΊΠΎΠ»ΠΎΠ½Π½ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΡΠΎΡΡΠ°Π²Π»ΡΡΡΠΈΡ
ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΡΡΠ²Π° ΡΠ½ΡΡΠΎΠΏΠΈΠΈ Π΄Π»Ρ ΡΠ»ΡΡΠ°Ρ Π±ΠΈΠ½Π°ΡΠ½ΡΡ
ΠΈ ΠΌΠ½ΠΎΠ³ΠΎΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΠ½ΡΡ
ΡΠΌΠ΅ΡΠ΅ΠΉ Π»ΡΠ±ΠΎΠΉ ΡΠΈΠ·ΠΈΠΊΠΎ-Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΡΠΈΡΠΎΠ΄Ρ. Π‘ ΠΏΠΎΠΌΠΎΡΡΡ ΡΡΠΈΡ
ΠΊΡΠΈΡΠ΅ΡΠΈΠ΅Π² ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Ρ ΡΡΠΎΠ²Π½ΠΈ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΉ ΠΏΠΎΠ΄Π°ΡΠΈ, ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π΅Π½Π½ΡΠ΅ Π΄Π°Π½Π½ΡΠΌΠΈ Π½Π°ΡΡΡΠ½ΠΎΠ³ΠΎ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°
ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠ½ΡΡΠΎΠΏΠΈΠΈ ΡΠ°Π²Π½ΠΎΠ²Π΅ΡΠ½ΠΎΠ³ΠΎ ΠΏΡΠΎΡΠ΅ΡΡΠ° Π΄ΠΈΡΡΠΈΠ»Π»ΡΡΠΈΠΈ Ρ ΠΏΠΎΡΠ»Π΅Π΄ΡΡΡΠ΅ΠΉ ΠΏΠΎΠ»Π½ΠΎΠΉ ΠΊΠΎΠ½Π΄Π΅Π½ΡΠ°ΡΠΈΠ΅ΠΉ ΠΏΠ°ΡΠΎΠ².
Are investigated equilibrium differential evaporation process and process of complete condensation. Is shown, that each of these processes can be theoretically submitted as reversible. A processes combination in a sequence equilibrium vaporization - the total condensation even in case of components reversibility of derivates entropy occurrence at the expense of an temperatures inequality appropriate to differential equilibrium vaporization, and total condensation outlet temperature.ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ ΡΠ°Π²Π½ΠΎΠ²Π΅ΡΠ½ΡΠΉ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΡΠΉ ΠΏΡΠΎΡΠ΅ΡΡ ΠΈΡΠΏΠ°ΡΠ΅Π½ΠΈΡ ΠΈ ΠΏΡΠΎΡΠ΅ΡΡ ΠΏΠΎΠ»Π½ΠΎΠΉ ΠΊΠΎΠ½Π΄Π΅Π½ΡΠ°ΡΠΈΠΈ. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ ΠΊΠ°ΠΆΠ΄ΡΠΉ ΠΈΠ· ΡΡΠΈΡ
ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΈ ΠΌΠΎΠΆΠ΅Ρ Π±ΡΡΡ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½ ΠΊΠ°ΠΊ ΠΎΠ±ΡΠ°ΡΠΈΠΌΡΠΉ. Π‘ΠΎΡΠ΅ΡΠ°Π½ΠΈΠ΅ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² Π² ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ ΡΠ°Π²Π½ΠΎΠ²Π΅ΡΠ½ΠΎΠ΅ ΠΈΡΠΏΠ°ΡΠ΅Π½ΠΈΠ΅ β ΠΏΠΎΠ»Π½Π°Ρ ΠΊΠΎΠ½Π΄Π΅Π½ΡΠ°ΡΠΈΡ Π΄Π°ΠΆΠ΅ Π² ΡΠ»ΡΡΠ°Π΅ ΠΎΠ±ΡΠ°ΡΠΈΠΌΠΎΡΡΠΈ ΡΠΎΡΡΠ°Π²Π»ΡΡΡΠΈΡ
ΠΏΠΎΡΠΎΠΆΠ΄Π°Π΅Ρ Π²ΠΎΠ·Π½ΠΈΠΊΠ½ΠΎΠ²Π΅Π½ΠΈΠ΅ ΡΠ½ΡΡΠΎΠΏΠΈΠΈ Π·Π° ΡΡΠ΅Ρ Π½Π΅ΡΠ°Π²Π΅Π½ΡΡΠ²Π° ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡ, ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΡΡΠΈΡ
Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΠΎΠΌΡ ΡΠ°Π²Π½ΠΎΠ²Π΅ΡΠ½ΠΎΠΌΡ ΠΈΡΠΏΠ°ΡΠ΅Π½ΠΈΡ, ΠΈ ΠΊΠΎΠ½Π΅ΡΠ½ΠΎΠΉ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ ΠΏΠΎΠ»Π½ΠΎΠΉ ΠΊΠΎΠ½Π΄Π΅Π½ΡΠ°ΡΠΈΠΈ
ΠΡΠ°Π²ΠΈΠ»ΠΎ ΡΠ°Π· ΠΈ Π²Π°ΡΠΈΠ°Π½ΡΠ½ΠΎΡΡΡ ΡΠ°Π·ΠΎΠ²ΡΡ ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² Π² ΡΠΈΡΡΠ΅ΠΌΠ°Ρ Ρ Π½Π΅ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΡΠΌΠΈ ΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΠ°ΠΌΠΈ
The rule of phases for systems with fixed components and variance of phase processes in such systems, including variance of one-stage phase processes and process of extractive rectification taking into account intensive, extensive and constructive variables is consideredΠ Π°ΡΡΠΌΠΎΡΡΠ΅Π½ΠΎ ΠΏΡΠ°Π²ΠΈΠ»ΠΎ ΡΠ°Π· Π΄Π»Ρ ΡΠΈΡΡΠ΅ΠΌ Ρ Π½Π΅ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½ΡΠΌΠΈ ΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½ΡΠ°ΠΌΠΈ ΠΈ Π²Π°ΡΠΈΠ°Π½ΡΠ½ΠΎΡΡΡ ΡΠ°Π·ΠΎΠ²ΡΡ
ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² Π² ΡΠ°ΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌΠ°Ρ
, Π²ΠΊΠ»ΡΡΠ°Ρ Π²Π°ΡΠΈΠ°Π½ΡΠ½ΠΎΡΡΡ ΠΎΠ΄Π½ΠΎΡΡΡΠΏΠ΅Π½ΡΠ°ΡΡΡ
ΡΠ°Π·ΠΎΠ²ΡΡ
ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ² ΠΈ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΡΠΊΡΡΡΠ°ΠΊΡΠΈΠ²Π½ΠΎΠΉ ΡΠ΅ΠΊΡΠΈΡΠΈΠΊΠ°ΡΠΈΠΈ Ρ ΡΡΠ΅ΡΠΎΠΌ ΠΈΠ½ΡΠ΅Π½ΡΠΈΠ²Π½ΡΡ
, ΡΠΊΡΡΠ΅Π½ΡΠΈΠ²Π½ΡΡ
ΠΈ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
ΠΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΠΎΠ½ΡΡΠΈΡ Π±Π΅ΡΠΊΠΎΠ½Π΅ΡΠ½ΠΎΡΡΠΈ Π² Ρ ΠΈΠΌΠΈΠΈ ΠΈ Ρ ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅Ρ Π½ΠΎΠ»ΠΎΠ³ΠΈΠΈ
The paper considers a number of mathematical models of chemical and chemical-engineering objects that use the concept of infinity. We allocated almost unrealizable processes, in the simulation of which infinity shows itself as a phantom. We considered also real processes that achieve the equilibrium state in a finite, but rather long time.Π ΡΠ°Π±ΠΎΡΠ΅ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½ ΡΡΠ΄ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈ Ρ
ΠΈΠΌΠΈΠΊΠΎ-ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ², ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΡΡΠΈΡ
ΠΏΠΎΠ½ΡΡΠΈΠ΅ Π±Π΅ΡΠΊΠΎΠ½Π΅ΡΠ½ΠΎΡΡΠΈ. ΠΡΠ΄Π΅Π»Π΅Π½Ρ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΈ Π½Π΅ΡΠ΅Π°Π»ΠΈΠ·ΡΠ΅ΠΌΡΠ΅ ΠΏΡΠΎΡΠ΅ΡΡΡ, ΠΏΡΠΈ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠΈ ΠΊΠΎΡΠΎΡΡΡ
Π±Π΅ΡΠΊΠΎΠ½Π΅ΡΠ½ΠΎΡΡΡ ΠΏΡΠΎΡΠ²Π»ΡΠ΅ΡΡΡ ΠΊΠ°ΠΊ Π½Π΅ΠΊΠΈΠΉ ΡΠ°Π½ΡΠΎΠΌ, ΠΈ ΡΠ΅Π°Π»ΡΠ½ΡΠ΅ ΠΏΡΠΎΡΠ΅ΡΡΡ, ΠΊΠΎΡΠΎΡΡΠ΅ Π΄ΠΎΡΡΠΈΠ³Π°ΡΡ ΡΠ°Π²Π½ΠΎΠ²Π΅ΡΠ½ΠΎΠ³ΠΎ ΡΠΎΡΡΠΎΡΠ½ΠΈΡ Π·Π° ΠΊΠΎΠ½Π΅ΡΠ½ΠΎΠ΅, Ρ
ΠΎΡΡ ΠΈ Π΄ΠΎΡΡΠ°ΡΠΎΡΠ½ΠΎ Π±ΠΎΠ»ΡΡΠΎΠ΅ Π²ΡΠ΅ΠΌΡ
Π₯Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠ° ΡΠΉΠ»Π΅ΡΠ° ΠΊΠ°ΠΊ ΡΠΎΠΏΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΈΠ½Π²Π°ΡΠΈΠ°Π½Ρ ΠΏΡΠ°Π²ΠΈΠ» Π°Π·Π΅ΠΎΡΡΠΎΠΏΠΈΠΈ
The role of the Euler characteristic inconfirmation of two independent forms of azeotropy rule and in studyingof spheres, simplexes and complexes of any dimension was shown. The Euler characteristic was considered as an alternative sum of simplex or complex elements and as the algebraic sum of topological indices of singular points on the sphere.ΠΠΎΠΊΠ°Π·Π°Π½Π° ΡΠΎΠ»Ρ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ ΠΠΉΠ»Π΅ΡΠ° Π² ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠΈ Π΄Π²ΡΡ
Π½Π΅Π·Π°Π²ΠΈΡΠΈΠΌΡΡ
ΡΠΎΡΠΌ ΠΏΡΠ°Π²ΠΈΠ»Π° Π°Π·Π΅ΠΎΡΡΠΎΠΏΠΈΠΈ ΠΈ Π² ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΈ ΡΡΠ΅Ρ, ΡΠΈΠΌΠΏΠ»Π΅ΠΊΡΠΎΠ² ΠΈ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠΎΠ² Π»ΡΠ±ΡΡ
ΡΠ°Π·ΠΌΠ΅ΡΠ½ΠΎΡΡΠ΅ΠΉ. Π₯Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠ° ΠΠΉΠ»Π΅ΡΠ° ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½Π° Π² Π²ΠΈΠ΄Π΅ Π°Π»ΡΡΠ΅ΡΠ½Π°ΡΠΈΠ²Π½ΠΎΠΉ ΡΡΠΌΠΌΡ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠ² ΡΠΈΠΌΠΏΠ»Π΅ΠΊΡΠ° ΠΈΠ»ΠΈ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ° ΠΈ Π² Π²ΠΈΠ΄Π΅ Π°Π»Π³Π΅Π±ΡΠ°ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΡΠΌΠΌΡ ΡΠΎΠΏΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈΠ½Π΄Π΅ΠΊΡΠΎΠ² ΠΎΡΠΎΠ±ΡΡ
ΡΠΎΡΠ΅ΠΊ Π½Π° ΡΡΠ΅ΡΠ΅
Estimation of an optimal arrangement of a power supply level at rectification of different nature binary and multicomponent mixturesthe
On the basis of entropy production criteria components of an estimation of an rectification columns power supply optimum level are developed for a case binary and multicomponent mixtures of any physical and chemical nature. By means of these criteria the levels of optimal power supply confirmed with data of natural experiment are defined
Rule of phases and variance of phase processes in systems with fixed components.
The rule of phases for systems with fixed components and variance of phase processes in such systems, including variance of one-stage phase processes and process of extractive rectification taking into account intensive, extensive and constructive variables is considere
Use of infinity concept in chemistry and chemical technology
The paper considers a number of mathematical models of chemical and chemical-engineering objects that use the concept of infinity. We allocated almost unrealizable processes, in the simulation of which infinity shows itself as a phantom. We considered also real processes that achieve the equilibrium state in a finite, but rather long time
Entropy research of distilling equilibrium process with the subsequent complete vapours condensation
Are investigated equilibrium differential evaporation process and process of complete condensation. Is shown, that each of these processes can be theoretically submitted as reversible. A processes combination in a sequence equilibrium vaporization - the total condensation even in case of components reversibility of derivates entropy occurrence at the expense of an temperatures inequality appropriate to differential equilibrium vaporization, and total condensation outlet temperature