11 research outputs found

    ΠžΡ†Π΅Π½ΠΊΠ° ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΎΠ³ΠΎ располоТСния уровня питания ΠΏΡ€ΠΈ Ρ€Π΅ΠΊΡ‚ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΠΈ Π±ΠΈΠ½Π°Ρ€Π½Ρ‹Ρ… ΠΈ ΠΌΠ½ΠΎΠ³ΠΎΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½Ρ‚Π½Ρ‹Ρ… смСсСй Ρ€Π°Π·Π½ΠΎΠΉ ΠΏΡ€ΠΈΡ€ΠΎΠ΄Ρ‹

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    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·Ρ€Π°Π±ΠΎΡ‚Π°Π½Ρ‹ ΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠΈ ΠΎΡ†Π΅Π½ΠΊΠΈ ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΎΠ³ΠΎ уровня питания Ρ€Π΅ΠΊΡ‚ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΠΎΠ½Π½Ρ‹Ρ… ΠΊΠΎΠ»ΠΎΠ½Π½ Π½Π° основС ΡΠΎΡΡ‚Π°Π²Π»ΡΡŽΡ‰ΠΈΡ… производства энтропии для случая Π±ΠΈΠ½Π°Ρ€Π½Ρ‹Ρ… ΠΈ ΠΌΠ½ΠΎΠ³ΠΎΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½Ρ‚Π½Ρ‹Ρ… смСсСй любой Ρ„ΠΈΠ·ΠΈΠΊΠΎ-химичСской ΠΏΡ€ΠΈΡ€ΠΎΠ΄Ρ‹. Π‘ ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ этих ΠΊΡ€ΠΈΡ‚Π΅Ρ€ΠΈΠ΅Π² ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½Ρ‹ ΡƒΡ€ΠΎΠ²Π½ΠΈ ΠΎΠΏΡ‚ΠΈΠΌΠ°Π»ΡŒΠ½ΠΎΠΉ ΠΏΠΎΠ΄Π°Ρ‡ΠΈ, ΠΏΠΎΠ΄Ρ‚Π²Π΅Ρ€ΠΆΠ΄Π΅Π½Π½Ρ‹Π΅ Π΄Π°Π½Π½Ρ‹ΠΌΠΈ Π½Π°Ρ‚ΡƒΡ€Π½ΠΎΠ³ΠΎ экспСримСнта

    ИсслСдованиС энтропии равновСсного процСсса дистилляции с ΠΏΠΎΡΠ»Π΅Π΄ΡƒΡŽΡ‰Π΅ΠΉ ΠΏΠΎΠ»Π½ΠΎΠΉ кондСнсациСй ΠΏΠ°Ρ€ΠΎΠ².

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    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.Π˜ΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ‹ равновСсный Π΄ΠΈΡ„Ρ„Π΅Ρ€Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½Ρ‹ΠΉ процСсс испарСния ΠΈ процСсс ΠΏΠΎΠ»Π½ΠΎΠΉ кондСнсации. Показано, Ρ‡Ρ‚ΠΎ ΠΊΠ°ΠΆΠ΄Ρ‹ΠΉ ΠΈΠ· этих процСссов тСорСтичСски ΠΌΠΎΠΆΠ΅Ρ‚ Π±Ρ‹Ρ‚ΡŒ прСдставлСн ΠΊΠ°ΠΊ ΠΎΠ±Ρ€Π°Ρ‚ΠΈΠΌΡ‹ΠΉ. Π‘ΠΎΡ‡Π΅Ρ‚Π°Π½ΠΈΠ΅ процСссов Π² ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°Ρ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΠΈ равновСсноС испарСниС – полная кондСнсация Π΄Π°ΠΆΠ΅ Π² случаС обратимости ΡΠΎΡΡ‚Π°Π²Π»ΡΡŽΡ‰ΠΈΡ… ΠΏΠΎΡ€ΠΎΠΆΠ΄Π°Π΅Ρ‚ Π²ΠΎΠ·Π½ΠΈΠΊΠ½ΠΎΠ²Π΅Π½ΠΈΠ΅ энтропии Π·Π° счСт нСравСнства Ρ‚Π΅ΠΌΠΏΠ΅Ρ€Π°Ρ‚ΡƒΡ€, ΡΠΎΠΎΡ‚Π²Π΅Ρ‚ΡΡ‚Π²ΡƒΡŽΡ‰ΠΈΡ… Π΄ΠΈΡ„Ρ„Π΅Ρ€Π΅Π½Ρ†ΠΈΠ°Π»ΡŒΠ½ΠΎΠΌΡƒ равновСсному ΠΈΡΠΏΠ°Ρ€Π΅Π½ΠΈΡŽ, ΠΈ ΠΊΠΎΠ½Π΅Ρ‡Π½ΠΎΠΉ Ρ‚Π΅ΠΌΠΏΠ΅Ρ€Π°Ρ‚ΡƒΡ€Ρ‹ ΠΏΠΎΠ»Π½ΠΎΠΉ кондСнсации

    ИспользованиС понятия бСсконСчности Π² Ρ…ΠΈΠΌΠΈΠΈ ΠΈ химичСской Ρ‚Π΅Ρ…Π½ΠΎΠ»ΠΎΠ³ΠΈΠΈ

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    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’ Ρ€Π°Π±ΠΎΡ‚Π΅ рассмотрСн ряд матСматичСских ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ химичСских ΠΈ Ρ…ΠΈΠΌΠΈΠΊΠΎ-тСхнологичСских ΠΎΠ±ΡŠΠ΅ΠΊΡ‚ΠΎΠ², ΠΈΡΠΏΠΎΠ»ΡŒΠ·ΡƒΡŽΡ‰ΠΈΡ… понятиС бСсконСчности. Π’Ρ‹Π΄Π΅Π»Π΅Π½Ρ‹ практичСски Π½Π΅Ρ€Π΅Π°Π»ΠΈΠ·ΡƒΠ΅ΠΌΡ‹Π΅ процСссы, ΠΏΡ€ΠΈ ΠΌΠΎΠ΄Π΅Π»ΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠΈ ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Ρ… Π±Π΅ΡΠΊΠΎΠ½Π΅Ρ‡Π½ΠΎΡΡ‚ΡŒ проявляСтся ΠΊΠ°ΠΊ Π½Π΅ΠΊΠΈΠΉ Ρ„Π°Π½Ρ‚ΠΎΠΌ, ΠΈ Ρ€Π΅Π°Π»ΡŒΠ½Ρ‹Π΅ процСссы, ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Π΅ Π΄ΠΎΡΡ‚ΠΈΠ³Π°ΡŽΡ‚ равновСсного состояния Π·Π° ΠΊΠΎΠ½Π΅Ρ‡Π½ΠΎΠ΅, хотя ΠΈ достаточно большоС врСмя

    Π₯арактСристика эйлСра ΠΊΠ°ΠΊ топологичСский ΠΈΠ½Π²Π°Ρ€ΠΈΠ°Π½Ρ‚ ΠΏΡ€Π°Π²ΠΈΠ» Π°Π·Π΅ΠΎΡ‚Ρ€ΠΎΠΏΠΈΠΈ

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    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.Показана Ρ€ΠΎΠ»ΡŒ характСристики Π­ΠΉΠ»Π΅Ρ€Π° Π² обосновании Π΄Π²ΡƒΡ… нСзависимых Ρ„ΠΎΡ€ΠΌ ΠΏΡ€Π°Π²ΠΈΠ»Π° Π°Π·Π΅ΠΎΡ‚Ρ€ΠΎΠΏΠΈΠΈ ΠΈ Π² исслСдовании сфСр, симплСксов ΠΈ комплСксов Π»ΡŽΠ±Ρ‹Ρ… размСрностСй. Π₯арактСристика Π­ΠΉΠ»Π΅Ρ€Π° рассмотрСна Π² Π²ΠΈΠ΄Π΅ Π°Π»ΡŒΡ‚Π΅Ρ€Π½Π°Ρ‚ΠΈΠ²Π½ΠΎΠΉ суммы элСмСнтов симплСкса ΠΈΠ»ΠΈ комплСкса ΠΈ Π² Π²ΠΈΠ΄Π΅ алгСбраичСской суммы топологичСских индСксов особых Ρ‚ΠΎΡ‡Π΅ΠΊ Π½Π° сфСрС

    ΠŸΡ€Π°Π²ΠΈΠ»ΠΎ Ρ„Π°Π· ΠΈ Π²Π°Ρ€ΠΈΠ°Π½Ρ‚Π½ΠΎΡΡ‚ΡŒ Ρ„Π°Π·ΠΎΠ²Ρ‹Ρ… процСссов Π² систСмах с Π½Π΅ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½Ρ‹ΠΌΠΈ ΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½Ρ‚Π°ΠΌΠΈ

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    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 consideredРассмотрСно ΠΏΡ€Π°Π²ΠΈΠ»ΠΎ Ρ„Π°Π· для систСм с Π½Π΅ΠΏΠΎΠ΄Π²ΠΈΠΆΠ½Ρ‹ΠΌΠΈ ΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½Ρ‚Π°ΠΌΠΈ ΠΈ Π²Π°Ρ€ΠΈΠ°Π½Ρ‚Π½ΠΎΡΡ‚ΡŒ Ρ„Π°Π·ΠΎΠ²Ρ‹Ρ… процСссов Π² Ρ‚Π°ΠΊΠΈΡ… систСмах, Π²ΠΊΠ»ΡŽΡ‡Π°Ρ Π²Π°Ρ€ΠΈΠ°Π½Ρ‚Π½ΠΎΡΡ‚ΡŒ одноступСнчатых Ρ„Π°Π·ΠΎΠ²Ρ‹Ρ… процСссов ΠΈ процСсса экстрактивной Ρ€Π΅ΠΊΡ‚ΠΈΡ„ΠΈΠΊΠ°Ρ†ΠΈΠΈ с ΡƒΡ‡Π΅Ρ‚ΠΎΠΌ интСнсивных, экстСнсивных ΠΈ конструктивных ΠΏΠ΅Ρ€Π΅ΠΌΠ΅Π½Π½Ρ‹Ρ…

    Estimation of an optimal arrangement of a power supply level at rectification of different nature binary and multicomponent mixturesthe

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    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

    Use of infinity concept in chemistry and chemical technology

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    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

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    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

    The euler characterisic as a topological invariant of the azeotropy rules

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    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

    Rule of phases and variance of phase processes in systems with fixed components.

    No full text
    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
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