scholarly journals Approximation of Internal Energy and Enthalpy of Fluids in the Compressed Liquid Region

2021 ◽  
Author(s):  
Isa Tan ◽  
Dr. Amir Karimi
Author(s):  
Amir Karimi ◽  
Isa Tan

Currently it is a common practice to use saturated liquid properties to approximate thermodynamics properties of fluids in the compressed liquid region. In this practice it is assumed that specific volume, internal energy, and entropy of fluids in the compressed liquid region are functions of temperature only and pressure practically has very little or no effect on these properties. Therefore, these properties at a given temperature and pressure are approximated by the saturated liquid properties at the given temperature. In the current literature the approximation formula given for enthalpy in the compressed liquid region is expressed as h(T, p) = hf (T) + vf (T) [p – psat (T)], where the aim of the second term on the right hand side of the equation is to improve the accuracy of the approximation, when pressure is much greater than the saturation pressure. However, in a recent study of thermodynamic properties of water, Kostic has shown that the second term in the equation improves the accuracy of the approximation of the enthalpy only at temperatures below 100 °C. In fact, he has shown that the second term increases the error when the formula is used to approximate the enthalpy of water in the compressed liquid region at intermediate and high temperatures. Kostic’s investigation is expanded in this paper to include substances other than water. The study shows that in many situations pressure has a bigger influence on the internal energy than it does on enthalpy of fluids in the compressed liquids. This paper demonstrates that the current practice of approximating properties of fluids in the compressed liquid region is not accurate at all range of temperatures and pressures. It establishes the range of pressures and temperatures for which the current approximation method could be used with reasonable accuracies. It also proposes a new scheme for the approximation of thermodynamic properties in the compressed liquid region.


Author(s):  
Amir Karimi ◽  
Karen McGill ◽  
Randall D. Manteufel

It is a common practice to approximate the thermodynamics properties of fluids in the compressed liquid regions from their saturation properties. Most thermodynamics textbooks state that the specific volume, specific internal energy, and specific entropy in the compressed liquid region are functions of temperature only and are independent of pressure. Therefore, compressed liquid property tables are not provided for any substance, except for water, and compressed liquid properties are approximated by their saturated liquid properties at a given temperature. Recent examination of current practice in approximating compressed liquid properties has shown that the internal energy of fluids exhibits growing dependency on pressure with increases in temperature. This paper compares the behavior of internal energy and enthalpy four compressed fluids along isotherms with those behaviors along isentropic lines. Water, ammonia, methane, and propane are examined in this study. It is shown that effects of pressure on the internal energy and enthalpy of compressed liquids are much lower along isentropic lines than those along isotherms.


Author(s):  
Amir Karimi ◽  
Randall D. Manteufel ◽  
Kelly Mulligan

Most thermodynamic textbooks state that the specific volume, specific internal energy, and the entropy of fluids in the compressed liquid region are independent of pressure and vary only with temperatures. Therefore in the compressed liquid region, these properties at given pressures and temperatures are approximated by their saturated liquid properties at the given temperatures. Examination of property values in the compressed liquid region verifies that these assumptions are valid at low temperatures close to the triple point of the fluids. However, the data show that, with increasing temperature, the internal energy and entropy of fluids exhibit higher dependencies on pressure in the compressed liquid region. In a similar fashion, in most applications, it is assumed that the values of constant pressure specific heat (cp) and constant volume specific heat (cv) are approximately the same in the compressed liquid region. Again, examination of these properties in the compressed liquid region validates this assumption for water at low temperatures. However, with increasing temperatures away from the triple point, the deviations between the two specific heat values increase. For fluids other than water the values of cp and cv in the compressed liquid region are not very close, even at temperatures close the triple point. Thermodynamic property behavior of several common fluids in the compressed liquid region is examined in this paper. The paper presents data on the behavior of v, u, h, cp and cv in the compressed liquid region and establishes the range of pressures and temperatures in this region where it is valid to assume that the v, u, h, and s are functions of temperature only and the ranges for which the values of cp and cv can be assumed to be nearly the same.


2012 ◽  
Vol 51 ◽  
pp. 126-131 ◽  
Author(s):  
Moisés S. Durán-Zenteno ◽  
Hugo I. Pérez-López ◽  
Luis A. Galicia-Luna ◽  
Octavio Elizalde-Solis

Author(s):  
C. Merlini

This paper presents a study of the natural circulation heat transfer to water flowing under supercritical pressures. Flow oscillations occurred when crossing the critical state, both from the compressed liquid region and from the supercritical vapour region. The threshold was found to correspond to the outlet film temperature, being close to the transposed critical value. Differential pressure fluctuations with frequencies of 25–60 Hz were encountered. These vibrations are generated in the heated section and propagate in the system when resonance occurs. The heat transfer data, when compared with available forced circulation correlations, showed the need for a new correlation having smaller exponents of Reynolds and Prandtl numbers. This was attributed to the power-dependence of flow rate.


2020 ◽  
Vol 507 ◽  
pp. 112427 ◽  
Author(s):  
Alexander P. Shchamialiou ◽  
Vladimir S. Samuilov ◽  
Fares M. Mosbakh ◽  
Nadejda V. Holubeva ◽  
Aleh G. Paddubski ◽  
...  

2000 ◽  
Vol 10 (PR5) ◽  
pp. Pr5-281-Pr5-286
Author(s):  
M. Ross ◽  
L. H. Yang ◽  
G. Galli

2020 ◽  
Vol 1 (2) ◽  
pp. 169-173
Author(s):  
Andrzej Lorkowski ◽  
Robert Jeszke

The whole world is currently struggling with one of the most disastrous pandemics to hit in modern times – Covid-19. Individual national governments, the WHO and worldwide media organisations are appealing for humanity to universally stay at home, to limit contact and to stay safe in the ongoing fight against this unseen threat. Economists are concerned about the devastating effect this will have on the markets and possible outcomes. One of the countries suffering from potential destruction of this situation is Poland. In this article we will explain how difficult internal energy transformation is, considering the long-term crisis associated with the extraction and usage of coal, the European Green Deal and current discussion on increasing the EU 2030 climate ambitions. In the face of an ongoing pandemic, the situation becomes even more challenging with each passing day.


2018 ◽  
Vol 14 (3) ◽  
pp. 5708-5733 ◽  
Author(s):  
Vyacheslav Michailovich Somsikov

The analytical review of the papers devoted to the deterministic mechanism of irreversibility (DMI) is presented. The history of solving of the irreversibility problem is briefly described. It is shown, how the DMI was found basing on the motion equation for a structured body. The structured body was given by a set of potentially interacting material points. The taking into account of the body’s structure led to the possibility of describing dissipative processes. This possibility caused by the transformation of the body’s motion energy into internal energy. It is shown, that the condition of holonomic constraints, which used for obtaining of the canonical formalisms of classical mechanics, is excluding the DMI in Hamiltonian systems. The concepts of D-entropy and evolutionary non-linearity are discussed. The connection between thermodynamics and the laws of classical mechanics is shown. Extended forms of the Lagrange, Hamilton, Liouville, and Schrödinger equations, which describe dissipative processes, are presented.


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