Prussova-Wagnerova rovnice pro výpočet stavových vlastností vody, optimalizace algoritmu
Title Alternative:Calculation of state properites of water using Pruss-Wagner equation, algorithm optimization
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Date
2012-01-01
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Technická Univerzita v Liberci
Abstract
Bakalářská práce se zabývá optimalizací stavové rovnice vody publikované A. Prussem a W. Wagnerem, která je implementovaná v prostředí Mathematica. Tato stavová rovnice vody se používá na Katedře chemie Technické Univerzity v Liberci pro výpočty termodynamických vlastností vody. První kapitola práce se věnuje teoretické části. Popisuje se zde jedna z nejdůležitějších kapalin na Zemi a to voda a její použití v technických oborech. V této části se dále popisuje chování vody při určitých teplotách a tlacích pomocí fázového diagramu vody a jsou zde popsány důležité body tohoto diagramu. Druhá část práce se zabývá popisem prostředí Mathematica, ve kterém byl program implementován. Ve třetí části práce je popsána rovnice Helmholtzovy volné energie a její jednotlivé části, které byly v práci optimalizovány a které se používají pro výpočty termodynamických vlastností vody, jakými jsou například tlak a hustota. Dále jsou zde popsány tyto vlastnosti, jejich použití v prostředí Mathematica a jejich vstupní a výstupní parametry. Poslední část práce obsahuje výsledky a porovnání hodnot stavové rovnice vody A. Prusse a W. Wagnera, která se nyní využívá na Katedře chemie Technické univerzity v Liberci, jelikož se jedná o nejnovější standard definovaný mezinárodní asociací IAPWS, s výsledky Hillovy stavové rovnice vody, která byla na Katedře chemie Technické Univerzity v Liberci používána dříve.
The aim of this thesis is optimization of water state equation published by A. Pruss and W. Wagner implemented in Mathematica. This water state equation is used at Department of Chemistry, Technical University of Liberec for calculating thermodynamic properties of water. First chapter contains theoretical background. Describes water as the one of the most important liquid on Earth, and its usage in technical sphere. In this section is also described behavior of water at certain temperatures and pressures using water phase diagram and describes important points of this diagram. Second chapter describes software Mathematica which is used for implementation. In third section is described equation of Helmholtz free energy and its parts which were optimalized in this work and which are used for calculations of water thermodynamic properties, such as pressure and density. Also are described these properties, their use in the program Mathematica and their input and output parameters. Last section these thesis contains results of water state equation defined by A. Pruss and W. Wagner, which is now use in the Department of Chemistry, Technical University of Liberec, since it is actual standard defined by International Association for Properties of Water and Steam IAPWS. These results are compared with results of the state equation defined by P. G. Hill which was used previously at the Department of Chemistry Technical University of Liberec.
The aim of this thesis is optimization of water state equation published by A. Pruss and W. Wagner implemented in Mathematica. This water state equation is used at Department of Chemistry, Technical University of Liberec for calculating thermodynamic properties of water. First chapter contains theoretical background. Describes water as the one of the most important liquid on Earth, and its usage in technical sphere. In this section is also described behavior of water at certain temperatures and pressures using water phase diagram and describes important points of this diagram. Second chapter describes software Mathematica which is used for implementation. In third section is described equation of Helmholtz free energy and its parts which were optimalized in this work and which are used for calculations of water thermodynamic properties, such as pressure and density. Also are described these properties, their use in the program Mathematica and their input and output parameters. Last section these thesis contains results of water state equation defined by A. Pruss and W. Wagner, which is now use in the Department of Chemistry, Technical University of Liberec, since it is actual standard defined by International Association for Properties of Water and Steam IAPWS. These results are compared with results of the state equation defined by P. G. Hill which was used previously at the Department of Chemistry Technical University of Liberec.
Description
katedra: NTI; přílohy: CD-R; rozsah: 41 s. (41 517 znaků)
Subject(s)
stavová rovnice, mathematica, termodynamické vlastnosti vody, optimalizace, fázový diagram, state equation, mathematica, thermodynamic properties of water, optimization, phase diagram