Water Substance

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W Wagner - One of the best experts on this subject based on the ideXlab platform.

  • the iapws formulation 1995 for the thermodynamic properties of ordinary Water Substance for general and scientific use
    2002
    Co-Authors: W Wagner, Andreas Prus
    Abstract:

    In 1995, the International Association for the Properties of Water and Steam (IAPWS) adopted a new formulation called “The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use”, which we abbreviate to IAPWS-95 formulation or IAPWS-95 for short. This IAPWS-95 formulation replaces the previous formulation adopted in 1984. This work provides information on the selected experimental data of the thermodynamic properties of Water used to develop the new formulation, but information is also given on newer data. The article presents all details of the IAPWS-95 formulation, which is in the form of a fundamental equation explicit in the Helmholtz free energy. The function for the residual part of the Helmholtz free energy was fitted to selected data for the following properties: (a) thermal properties of the single-phase region (pρT) and of the vapor–liquid phase boundary (pσρ′ρ″T), including the phase-equilibrium condition (Maxwell criterion), and (b) t...

  • international equations for the pressure along the melting and along the sublimation curve of ordinary Water Substance
    1994
    Co-Authors: W Wagner, A Saul, A Pruss
    Abstract:

    In order to define the phase boundary between the solid phase (ice) and the fluid phase (liquid and gas) of ordinary (light) Water Substance in pressure‐temperature coordinates, correlation equations for the pressure along the melting curve of the various modifications of ice as well as for the pressure along the sublimation curve are presented. The five equations for the melting pressure of the ice phases, ice I, ice III, ice V, ice VI, and ice VII, which only contain one to three fitted coefficients, cover the pressure range from the ‘‘normal’’ triple point to 20000 MPa. In this entire range the equations represent the selected measurements of the melting pressure within their experimental uncertainty. The 2‐coefficient equation for the sublimation pressure covers the temperature range from 190 K to the triple point (273.16 K). The equations correspond to the new International Temperature Scale of 1990 (ITS‐90). All these equations form the basis of the revised release on the pressure along the melting and sublimation curves of ordinary Water Substance. A verbatium copy of this release is presented in the Appendix of this paper. §

A Pruss - One of the best experts on this subject based on the ideXlab platform.

  • international equations for the pressure along the melting and along the sublimation curve of ordinary Water Substance
    1994
    Co-Authors: W Wagner, A Saul, A Pruss
    Abstract:

    In order to define the phase boundary between the solid phase (ice) and the fluid phase (liquid and gas) of ordinary (light) Water Substance in pressure‐temperature coordinates, correlation equations for the pressure along the melting curve of the various modifications of ice as well as for the pressure along the sublimation curve are presented. The five equations for the melting pressure of the ice phases, ice I, ice III, ice V, ice VI, and ice VII, which only contain one to three fitted coefficients, cover the pressure range from the ‘‘normal’’ triple point to 20000 MPa. In this entire range the equations represent the selected measurements of the melting pressure within their experimental uncertainty. The 2‐coefficient equation for the sublimation pressure covers the temperature range from 190 K to the triple point (273.16 K). The equations correspond to the new International Temperature Scale of 1990 (ITS‐90). All these equations form the basis of the revised release on the pressure along the melting and sublimation curves of ordinary Water Substance. A verbatium copy of this release is presented in the Appendix of this paper. §

  • international equations for the saturation properties of ordinary Water Substance revised according to the international temperature scale of 1990 addendum to j phys chem ref data 16 893 1987
    1993
    Co-Authors: W Wagner, A Pruss
    Abstract:

    Consistent with the latest experimental data and the internationally recommended values for the critical parameters we published in 1987, compact and accurate correlation equations are given for the following properties on the saturation line of ordinary (light) Water Substance: vapor pressure, density, and enthalpy and entropy of both the saturated liquid and the saturated vapor. As an addendum to a paper by A. Saul and W. Wagner, J. Phys. Chem. Ref. Data 16, 893 (1987), this paper brings all temperature values and adjusted coefficients in all correlation equations into agreement with the International Temperature Scale of 1990 (ITS‐90). The new equations form the basis of the ‘‘Revised Supplementary Release on Saturation Properties of Ordinary Water Substance’’ issued by the International Association for the Properties of Water and Steam (IAPWS). This revised release which contains all equations and coefficients adjusted with regard to the ITS‐90 is the main part of this paper.

Andreas Prus - One of the best experts on this subject based on the ideXlab platform.

  • the iapws formulation 1995 for the thermodynamic properties of ordinary Water Substance for general and scientific use
    2002
    Co-Authors: W Wagner, Andreas Prus
    Abstract:

    In 1995, the International Association for the Properties of Water and Steam (IAPWS) adopted a new formulation called “The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use”, which we abbreviate to IAPWS-95 formulation or IAPWS-95 for short. This IAPWS-95 formulation replaces the previous formulation adopted in 1984. This work provides information on the selected experimental data of the thermodynamic properties of Water used to develop the new formulation, but information is also given on newer data. The article presents all details of the IAPWS-95 formulation, which is in the form of a fundamental equation explicit in the Helmholtz free energy. The function for the residual part of the Helmholtz free energy was fitted to selected data for the following properties: (a) thermal properties of the single-phase region (pρT) and of the vapor–liquid phase boundary (pσρ′ρ″T), including the phase-equilibrium condition (Maxwell criterion), and (b) t...

W Wagner - One of the best experts on this subject based on the ideXlab platform.

  • international equations for the saturation properties of ordinary Water Substance revised according to the international temperature scale of 1990 addendum to j phys chem ref data 16 893 1987
    1993
    Co-Authors: W Wagner, A Pruss
    Abstract:

    Consistent with the latest experimental data and the internationally recommended values for the critical parameters we published in 1987, compact and accurate correlation equations are given for the following properties on the saturation line of ordinary (light) Water Substance: vapor pressure, density, and enthalpy and entropy of both the saturated liquid and the saturated vapor. As an addendum to a paper by A. Saul and W. Wagner, J. Phys. Chem. Ref. Data 16, 893 (1987), this paper brings all temperature values and adjusted coefficients in all correlation equations into agreement with the International Temperature Scale of 1990 (ITS‐90). The new equations form the basis of the ‘‘Revised Supplementary Release on Saturation Properties of Ordinary Water Substance’’ issued by the International Association for the Properties of Water and Steam (IAPWS). This revised release which contains all equations and coefficients adjusted with regard to the ITS‐90 is the main part of this paper.

Piotr K. Smolarkiewicz - One of the best experts on this subject based on the ideXlab platform.

  • multidimensional positive definite advection transport algorithm an overview
    2006
    Co-Authors: Piotr K. Smolarkiewicz
    Abstract:

    Multidimensional positive definite advection transport algorithm (MPDATA) was proposed in the early eighties as a simple positive-definite advection scheme with small implicit diffusion, for evaluating the advection of Water-Substance constituents in atmospheric cloud models. Over the two decades, MPDATA evolved from an advection scheme into a class of generalized transport algorithms that expand beyond advective transport to alternate PDEs and complete fluid models with a wide range of underlying governing equations. Recently, MPDATA has attracted attention in the context of several mutually-beneficial developments such as (i) quantification of MPDATA implicit turbulence modelling capability in the spirit of monotonically integrated large eddy simulations (MILES), (ii) extensions to flow solvers cast in generalized time-dependent curvilinear coordinates, and (iii) unstructured-grid formulations. The aim of this paper is to assist the special issue on MPDATA methods for fluids by providing an up to date comprehensive review of the approach, including the underlying concepts, principles of implementation, and guidance to the accumulated literature. Copyright © 2005 John Wiley & Sons, Ltd.

  • multidimensional positive definite advection transport algorithm an overview
    2006
    Co-Authors: Piotr K. Smolarkiewicz
    Abstract:

    Multidimensional positive definite advection transport algorithm (MPDATA) was proposed in the early eighties as a simple positive-definite advection scheme with small implicit diffusion, for evaluating the advection of Water-Substance constituents in atmospheric cloud models. Over the two decades, MPDATA evolved from an advection scheme into a class of generalized transport algorithms that expand beyond advective transport to alternate PDEs and complete fluid models with a wide range of underlying governing equations. Recently, MPDATA has attracted attention in the context of several mutually-beneficial developments such as (i) quantification of MPDATA implicit turbulence modelling capability in the spirit of monotonically integrated large eddy simulations (MILES), (ii) extensions to flow solvers cast in generalized time-dependent curvilinear coordinates, and (iii) unstructured-grid formulations. The aim of this paper is to assist the special issue on MPDATA methods for fluids by providing an up to date comprehensive review of the approach, including the underlying concepts, principles of implementation, and guidance to the accumulated literature. Copyright © 2005 John Wiley & Sons, Ltd.