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Расчет линии упругости перфторпропана в пакете MathCad

Расчет линии упругости перфторпропана в пакете MathCad

Abstract

Built equation of the line of elasticity, taking into account the requirements of large-scale hypothesis and the behavior of the saturated vapor pressure near the triple point. In contrast to known models describing the line of elasticity in the temperature range from the triple point to the critical, the proposed model describes a line of elasticity in the general vicinity of the critical point, in accordance with the requirements of the modern theory of critical phenomena. Based on the proposed line equation of elasticity throughout the specified temperature range designed for perfluoropropene detailed table comprising values of the pressure, the first and second derivatives of the pressure on the phase equilibrium line as a function of temperature. The value calculated on the obtained equations are not inferior to the currently used tables in accuracy to describe the experimental data. The relative deviation from the experimental and tabular data presented in the figure. The paper contains the values of all parameters included in the equation. Also the dependences for calculation of first and second derivatives line of elasticity. The obtained equation can be used to calculate the exact thermodynamic tables on the line of phase equilibrium and to obtain the support of the array points in the calculation of the coefficients of a large-scale and fundamental equations of state. Possible to use the resulting equation in the article to describe the elastic line of other technologically important materials used in refrigeration and food industries.

Построено уравнение линии упругости, учитывающее требования масштабной гипотезы и особенности поведения давления насыщенного пара вблизи тройной точки. В отличие от известных моделей, описывающих линию упругости в диапазоне температур от тройной точки до критической, предложенная модель описывает линию упругости в широкой окрестности критической точки в соответствии с требованиями современной теории критических явлений. На основе предложенного уравнения линии упругости во всем указанном температурном диапазоне рассчитаны подробные таблицы для перфторпропана, включающие значения давления, первую и вторую производные давления на линии фазового равновесия как функции температуры. Значения, рассчитанные по полученным уравнениям, не уступают используемым в настоящее время таблицам по точности описания экспериментальных данных. Относительные отклонения от экспериментальных и табличных данных представлены на рисунке. В работе приведены значения всех параметров, входящих в уравнение. Также приведены зависимости для расчета первой и второй производных линии упругости. Полученное уравнение может быть использовано для расчета точных термодинамических таблиц на линии фазового равновесия и для получения опорного массива точек при вычислении коэффициентов масштабных и фундаментальных уравнений состояния. Возможно использование полученного в статье уравнения для описания линии упругости других технически важных веществ, используемых в холодильной и пищевой промышленности.

Keywords

ЛИНИЯ УПРУГОСТИ,LINE ELASTICITY,ДАВЛЕНИЕ,PRESSURE,PERFLUOROPROPANE,R218,КРИТИЧЕСКИЕ ИНДЕКСЫ,CRITICAL EXPONENTS,ПЕРФТОРПРОПАН

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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