Fluid Mixtures of 6:12 Molecules in the Percus–Yevick Theory Using the Energy Equation

1971 ◽  
Vol 49 (12) ◽  
pp. 1593-1596 ◽  
Author(s):  
E. W. Grundke ◽  
D. Henderson ◽  
R. D. Murphy
Keyword(s):  
Thermodynamic Properties ◽  
Energy Equation ◽  
Simulation Studies ◽  
Fluid Mixture ◽  
Fluid Mixtures

The thermodynamic properties of a fluid mixture are calculated using the 6:12 potential together with the energy equation and the Percus–Yevick theory. The agreement with the results of simulation studies is good.

scholarly journals Spin and pseudospin solutions to Dirac equation and its thermodynamic properties using hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Ituen B. Okon ◽  
E. Omugbe ◽  
Akaninyene D. Antia ◽  
C. A. Onate ◽  
Louis E. Akpabio ◽  
...  
Keyword(s):  
Dirac Equation ◽  
Thermodynamic Properties ◽  
Energy Equation ◽  
Pseudospin Symmetry ◽  
Spin Symmetry ◽  
Bound State ◽  
Compact Form ◽  
Relativistic Energy ◽  
Quadratic Potential ◽  
Special Cases

AbstractIn this research article, the modified approximation to the centrifugal barrier term is applied to solve an approximate bound state solutions of Dirac equation for spin and pseudospin symmetries with hyperbolic Hulthen plus hyperbolic exponential inversely quadratic potential using parametric Nikiforov–Uvarov method. The energy eigen equation and the unnormalised wave function were presented in closed and compact form. The nonrelativistic energy equation was obtain by applying nonrelativistic limit to the relativistic spin energy eigen equation. Numerical bound state energies were obtained for both the spin symmetry, pseudospin symmetry and the non relativistic energy. The screen parameter in the potential affects the solutions of the spin symmetry and non-relativistic energy in the same manner but in a revised form for the pseudospin symmetry energy equation. In order to ascertain the accuracy of the work, the numerical results obtained was compared to research work of existing literature and the results were found to be in excellent agreement to the existing literature. The partition function and other thermodynamic properties were obtained using the compact form of the nonrelativistic energy equation. The proposed potential model reduces to Hulthen and exponential inversely quadratic potential as special cases. All numerical computations were carried out using Maple 10.0 version and Matlab 9.0 version softwares respectively.

Steady inclined flows of granular-fluid mixtures

2009 ◽  
Vol 641 ◽  
pp. 359-387 ◽  
Author(s):  
D. BERZI ◽  
J. T. JENKINS
Keyword(s):  
Volume Flow ◽  
Angle Of Repose ◽  
Recent Theory ◽  
Fluid Mixture ◽  
Flow Rates ◽  
Fluid Mixtures ◽  
Gravity Driven ◽  
Granular Fluid ◽  
Gravity Driven Flow ◽  
Inclined Flow

We extend a recent theory for steady uniform gravity-driven flow of a highly concentrated granular-fluid mixture over an erodible bed between frictional sidewalls. We first include angles of inclination greater than the angle of repose of the particles; then, we introduce a boundary condition for flow over a rigid bumpy bed. We compare the predictions of the resulting theory with the volume flow rates, depths and angles of inclination measured in the experiments on dry and variously saturated flows over rigid and erodible boundaries. Finally, we employ the resulting theory, with the assumption that the flow is shallow, to solve, in an approximate way, for the variation of height and average velocities along a steady non-uniform inclined flow of a granular-fluid mixture that moves over a rigid bumpy bed. The solutions exhibit features of the flow seen in the experiments – for example, a dry bulbous snout in advance of the fluid, whose length increases with increasing number of the particles and that disappears with increasing velocity – for which satisfactory explanations were lacking.

Thermodynamic properties of dense fluid mixtures

1967 ◽  
Vol 45 (6) ◽  
pp. 595-604 ◽  
Author(s):  
M. Orentlicher ◽  
J. M. Prausnitz
Keyword(s):  
Experimental Data ◽  
Thermodynamic Properties ◽  
Hard Sphere ◽  
Simple Fluids ◽  
Fluid Mixtures ◽  
Functional Expansion ◽  
Residual Properties ◽  
Dense Fluid ◽  
Liquid Solutions ◽  
Point Of Departure

By using the properties of hard-sphere systems as a point of departure, equations are derived for the residual properties of mixtures of real simple fluids at liquid-like densities. The essence of the derivation lies in a functional expansion of g(r) exp [Formula: see text] about its hard-sphere value. The results obtained are useful for interpreting, correlating, and extending experimental data for both concentrated and dilute liquid solutions.

Thermodynamic properties of molecular fluid mixtures of hard ellipsoids

Pramana ◽  
1987 ◽  
Vol 28 (4) ◽  
pp. 343-353 ◽  
Author(s):  
A K Singh ◽  
U N Singh ◽  
S K Sinha
Keyword(s):  
Thermodynamic Properties ◽  
Fluid Mixtures

Computer simulation studies of molecular fluid mixtures

1985 ◽  
Vol 55 (2) ◽  
pp. 447-462 ◽  
Author(s):  
Ivo Nezbeda ◽  
M. Rami Reddy ◽  
William R. Smith
Keyword(s):  
Computer Simulation ◽  
Simulation Studies ◽  
Fluid Mixtures ◽  
Computer Simulation Studies

Thermodynamic Properties of five Halogenated Hydrocarbon Vapour Power Cycle Working Fluids

1973 ◽  
Vol 15 (2) ◽  
pp. 132-143 ◽  
Author(s):  
B. M. Burnside
Keyword(s):  
Equation Of State ◽  
Thermodynamic Properties ◽  
Specific Heat ◽  
Halogenated Hydrocarbons ◽  
Sonic Velocity ◽  
Simulation Studies ◽  
Computer Design ◽  
Working Fluids ◽  
Power Cycle ◽  
Halogenated Hydrocarbon

Thermodynamic properties of five halogenated hydrocarbons, of importance as working fluids for small vapour power units, have been studied. The compounds are monochlorobenzene, hexafluorobenzene, o-dichlorobenzene, perfluoro-2-butyltetrahydrofuran and perfluorodecalin. With the aid of the Martin-Hou equation of state the properties of each compound, including sonic velocities and specific heat ratios, have been correlated. By comparison with the well established data for steam the accuracy of the sonic velocity and specific heat ratio values has been indicated. The information is presented in a manner which facilitates either the production of saturation and superheat tables or diagrams, or direct inclusion of the data in computer design and simulation studies of Rankine plant.

Binary Fluid Mixture and Thermocapillary Effects on the Wetting Characteristics of a Heated Curved Meniscus

2003 ◽  
Vol 125 (5) ◽  
pp. 867-874 ◽  
Author(s):  
David M. Pratt ◽  
Kenneth D. Kihm
Keyword(s):  
Pore System ◽  
Concentration Gradients ◽  
Fluid Mixture ◽  
Binary Fluid ◽  
Fluid Mixtures ◽  
Naturally Occurring ◽  
Theoretical Predictions ◽  
Interfacial Temperature ◽  
Binary Fluid Mixtures ◽  
Liquid Vapor

An investigation has been conducted into the interactions of binary fluid mixtures (pentane [C5H12] coolant and decane [C10H22] additive) and thermocapillary effects on a heated, evaporating meniscus formed in a vertical capillary pore system. The experimental results show that adding decane, the secondary fluid that creates the concentration gradient, actually decreases the meniscus height to a certain level, but did increase the sustainable temperature gradient for the liquid-vapor interface, so did the heat transfer rate, delaying the onset of meniscus instability. The results have demonstrated that interfacial thermocapillary stresses arising from liquid-vapor interfacial temperature gradients, which is known to degrade the ability of the liquid to wet the pore, can be counteracted by introducing naturally occurring concentration gradients associated with distillation in binary fluid mixtures. Also theoretical predictions are presented to determine the magnitudes of both the thermocapillary stresses and the distillation-driven capillary stresses, and to estimate the concentration gradients established as a result of the distillation in the heated pore.

scholarly journals Shannon entropy for Feinberg–Horodecki equation and thermal properties of improved Wei potential model

Open Physics ◽  
2021 ◽  
Vol 19 (1) ◽  
pp. 519-533
Author(s):  
Clement Atachegbe Onate ◽  
Michael Chukwudi Onyeaju ◽  
Ituen Bassey Okon
Keyword(s):  
Thermodynamic Properties ◽  
Shannon Entropy ◽  
Energy Equation ◽  
Potential Model ◽  
Wave Functions ◽  
Vibrational Entropy ◽  
Position Space ◽  
Energy Potential ◽  
One Dimensional ◽  
Uvarov Method

Abstract We solved a one-dimensional time-dependent Feinberg–Horodecki equation for an improved Wei molecular energy potential function using the parametric Nikiforov–Uvarov method. The quantized momentum and the corresponding wave functions were obtained. With the help of the wave functions obtained, we calculated Shannon entropy for both the position space and momentum space. The results were used to study four molecules. The results of Shannon entropy were found to be in excellent agreement with those found in the literature. For more usefulness of these studies, the quantized momentum obtained was transformed into an energy equation with certain transformations. The energy equation was then used to calculate some thermodynamic properties such as vibrational mean energy, vibrational specific heat, vibrational mean free energy, and vibrational entropy via computation of the partition function. The thermodynamic properties studied for CO, NO, CH, and ScH showed that for a certain range of the temperature studied, the molecules exhibited similar features except for the vibrational entropy.

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