Superheating Limit of Hydrocarbons Based on a Generalized Dieterici Equation of State

2021 ◽  
Vol 9 (1) ◽  
pp. 5-9
Author(s):  
Kamala R ◽  
◽  
Balasubramanian R
Keyword(s):  
Equation Of State ◽  
Thermodynamic Characteristics ◽  
Type Equation ◽  
Generalized Equation ◽  
Reduced Form ◽  
Similarity Parameter ◽  
Thermodynamic Similarity ◽  
Law Of Corresponding States ◽  
Attainable Superheat ◽  
Experimental Values

A new three-parameter Dieterici type equation of state is employed for studying the high-temperature thermodynamic characteristics of hydrocarbons. This generalized equation of state differs from the known Dieterici equation of state by a modified attractive term. That is, a new thermodynamic similarity parameter is introduced in the attractive term of the Dieterici equation of state. The parameters of the equation of state are determined through the experimental values on the critical-point parameters of hydrocarbons. The equation of state is presented in the reduced form, from which follows the single-parameter law of corresponding states. The proposed equation of state gives the value of maximum attainable superheat for hydrocarbons of about 0.887 to 0.894 times the critical temperature. The new three- parameter generalized Dieterici equation of state offers an acceptable compliance with experimental results of maximum attainable superheat of hydrocarbons.

scholarly journals Determination of Second Virial Coefficient of Gold by a Modified Berthelot Equation of State

2020 ◽  
Vol 1 (4) ◽  
pp. 175-180
Author(s):  
M. Sivakumar ◽  
R. Balasubramanian
Keyword(s):  
Equation Of State ◽  
Critical Point ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Similarity Parameter ◽  
Thermodynamic Similarity ◽  
Van Der Waals Equation ◽  
Wide Range ◽  
Law Of Corresponding States

The present study aims to determine the second virial coefficient of gold over a wide range of temperatures from the boiling point to the critical point. A three - parameter modified Berthelot equation of state has been employed to determine the second virial coefficient of gold. The parameters of the equation of state are determined through the critical - point parameters of gold. The temperature -dependence of the second virial coefficient of gold has been investigated. The obtained results are compared with that of the van der Waals equation of state, Berthelot equation of state, Tsonopoulus correlation, and McGlashan correlation. The results of this work agree well with that of other correlations in the vicinity of the critical point. It is also established that gold obeys the single - parameter law of corresponding states. And, the new parameter introduced in the attractive term of the equation of state is found to be a thermodynamic similarity parameter. Doi: 10.28991/HEF-2020-01-04-02 Full Text: PDF

scholarly journals Spinodal and thermodynamic limit of superheat of gold

2021 ◽  
Vol 21 (1) ◽  
pp. 12-26
Author(s):  
Marimuthu Sivakumar ◽  
Ramasamy Balasubramanian
Keyword(s):  
Equation Of State ◽  
Thermodynamic Limit ◽  
Homogeneous Nucleation ◽  
Rapid Heating ◽  
Vapour Phase ◽  
Thermodynamic Similarity ◽  
Liquid Gold ◽  
Law Of Corresponding States ◽  
Temperature Liquid ◽  
Two Parameter

A four-parameter generalized Berthelot equation of state has been employed to determine the spinodal and the thermodynamic limit of superheat of liquid gold. It is established that gold obeys the two-parameter law of corresponding states. It is also established that the new parameters introduced in the attractive term of the equation of state are thermodynamic similarity parameters. It is shown that liquid gold can be superheated to a temperature 6719K. That is, liquid gold, under rapid heating, can be superheated to temperature 3476K above the boiling temperature without undergoing liquid-vapour phase transition. Above this temperature, liquid gold will undergo explosive boiling owing to homogeneous nucleation.

The Bender Equation of State and Virial Coefficients

2000 ◽  
Vol 65 (9) ◽  
pp. 1464-1470 ◽  
Author(s):  
Anatol Malijevský ◽  
Tomáš Hujo
Keyword(s):  
Equation Of State ◽  
Virial Coefficient ◽  
Virial Coefficients ◽  
Low Density ◽  
Second Virial Coefficients ◽  
The Third ◽  
Temperature Dependences ◽  
Experimental Values

The second and third virial coefficients calculated from the Bender equation of state (BEOS) are tested against experimental virial coefficient data. It is shown that the temperature dependences of the second and third virial coefficients as predicted by the BEOS are sufficiently accurate. We conclude that experimental second virial coefficients should be used to determine independently five of twenty constants of the Bender equation. This would improve the performance of the equation in a region of low-density gas, and also suppress correlations among the BEOS constants, which is even more important. The third virial coefficients cannot be used for the same purpose because of large uncertainties in their experimental values.

scholarly journals Modeling baryonic interactions with the Clausius-type equation of state

2018 ◽  
Vol 54 (2) ◽  
Author(s):  
Volodymyr Vovchenko ◽  
Mark I. Gorenstein ◽  
Horst Stoecker
Keyword(s):  
Equation Of State ◽  
Type Equation

scholarly journals Equation of state for rhodium at high pressures

2021 ◽  
Vol 2057 (1) ◽  
pp. 012118
Author(s):  
K V Khishchenko
Keyword(s):  
Experimental Data ◽  
Numerical Simulation ◽  
Equation Of State ◽  
Internal Energy ◽  
Specific Volume ◽  
High Pressures ◽  
Thermodynamic Characteristics ◽  
Wide Range ◽  
Hydrodynamic Processes

Abstract An equation of state has been developed for rhodium in a wide range of changes in the specific volume and internal energy. The results of calculations of the thermodynamic characteristics of this metal are presented in comparison with the available experimental data at high pressures. This equation of state can be used in the numerical simulation of hydrodynamic processes under intense impulse influences on matter.

A generalized equation of state for hot, dense matter

1991 ◽  
Vol 535 (2) ◽  
pp. 331-376 ◽  
Author(s):  
James M. Lattimer ◽  
F. Douglas Swesty
Keyword(s):  
Equation Of State ◽  
Dense Matter ◽  
Generalized Equation

A modified van der Waals type equation of state

1980 ◽  
Vol 35 (7) ◽  
pp. 1503-1512 ◽  
Author(s):  
G. Schmidt ◽  
H. Wenzel
Keyword(s):  
Equation Of State ◽  
Van Der Waals ◽  
Type Equation

Creep Prediction Model for Concrete Made of Crushed Clay Bricks as Coarse Aggregate

2012 ◽  
Vol 166-169 ◽  
pp. 994-997 ◽  
Author(s):  
Syed Ishtiaq Ahmad ◽  
Sushanta Roy
Keyword(s):  
Coarse Aggregate ◽  
Generalized Equation ◽  
Time Behavior ◽  
Simple Design ◽  
Clay Bricks ◽  
Design Office ◽  
Proposed Model ◽  
Creep Time ◽  
Experimental Values ◽  
Two Parameters

A simple design office oriented empirical model containing only two parameters has been developed to predict creep behavior of concrete made of crushed clay bricks as coarse aggregate. For this, concrete samples having three different normal compressive strengths in the range of 18.9 up to 24.0 N/mm2 are first prepared and then tested for their creep deformation. For each of the samples, a hyperbolic equation is developed from their creep-time behavior. These equations are then combined and modified according to statistical norms to finally obtain a generalized equation. Comparison of creep strain obtained from this equation with that of experimental values show that the proposed model can closely predict creep in brick aggregate made concrete.

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