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This paper proposes a correction method, which corrects the actual compressor performance in real operating conditions to the equivalent performance under specified reference condition. The purpose is to make fair comparisons between actual…

Systems and Control · Computer Science 2013-10-09 Yuanyuan Ma , Harald Fretheim , Erik Persson , Trond Haugen

We develop an alternative thermodynamic cycle for the Stirling machine, where the polytropic process plays a central role. Analytical expressions for pressure and temperatures of the working gas are obtained as a function of the volume and…

Classical Physics · Physics 2017-11-21 Alejandro Romanelli

In many textbooks of thermodynamics, the polytropic process is usually introduced by defining its process equation rather than analyzing its actual origin. We realize a polytropic process of an ideal gas system when it is thermally contact…

Statistical Mechanics · Physics 2026-05-19 Yu-Han Ma

We analytically study how the behaviour of accretion flows changes when the flow model is varied. We study the transonic properties of the conical flow, a flow of constant height and a flow in vertical equilibrium and show that all these…

Astrophysics · Physics 2009-11-10 S. K. Chakrabarti , Santabrata Das

Compressible flow varies from ideal-gas behavior at high pressures where molecular interactions become important. Density is described through a cubic equation of state while enthalpy and sound speed are functions of both temperature and…

Fluid Dynamics · Physics 2020-03-11 William A. Sirignano

Pipe flow models are developed with a focus on their eventual use for feedback control design at the process control level, as opposed to the unit level, in gas processing facilities. Accordingly, linearized facility-scale models are…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Sven Brüggemann , Robert H. Moroto , Robert R. Bitmead

We consider an inverse problem for the compressible Euler's equations in polytropic fluid. We show that by taking active measurements near a particle trajectory one can determine the background flow in a set where pressure waves can…

Analysis of PDEs · Mathematics 2026-04-17 Gunther Uhlmann , Yuchao Yi , Jian Zhai

Analytical/quasi-analytical solutions are proposed for a steady, compressible, single-phase flow in a rectilinear duct subjected to heating followed by cooling. The flow is driven by the pressure ratio between an upstream tank and a…

Fluid Dynamics · Physics 2024-03-05 S Schropff , F Petitpas , E Daniel

By combining different ideas, a general and efficient protocol to deal with discontinuous phase transitions at low temperatures is proposed. For small $T$'s, it is possible to derive a generic analytic expression for appropriate order…

Statistical Mechanics · Physics 2015-06-03 C. E. Fiore , M. G. E. da Luz

In the present paper we propose a reduced temperature non-equilibrium model for simulating multicomponent flows with inter-phase heat transfer, diffusion processes (including the viscosity and the heat conduction) and external energy…

Numerical Analysis · Mathematics 2021-08-19 Chao Zhang , Lifeng Wang , Zhijun Shen , Zhiyuan Li , Igor Menshov

Devising optimal operating strategies for a compressor station relies on the knowledge of compressor characteristics. As the compressor characteristics change with time and use, it is necessary to provide accurate models of the…

Computational Engineering, Finance, and Science · Computer Science 2021-11-24 Akhil Ahmed , Marta Zagorowska , Ehecatl Antonio del Rio-Chanona , Mehmet Mercangöz

We derive a monotonicity property for general, transient flows of a commodity transferred throughout a network, where the flow is characterized by density and mass flux dynamics on the edges with density continuity and mass balance…

Optimization and Control · Mathematics 2016-03-31 Anatoly Zlotnik , Sidhant Misra , Marc Vuffray , Michael Chertkov

A closed-loop control of a reaction-diffusion type process is introduced. The control system consist of a finite number of control and measurement devices. The measurement devices collect information about the current state of the process.…

Optimization and Control · Mathematics 2013-06-28 Grzegorz Dudziuk

In this paper we argue that one-way quantum computation can be seen as a form of phase transition with the available information about the solution of the computation being the order parameter. We draw a number of striking analogies between…

Quantum Physics · Physics 2009-11-13 Janet Anders , Damian Markham , Vlatko Vedral , Michal Hajdušek

We introduce a systematic classification method for the analogs of phase transitions in finite systems. This completely general analysis, which is applicable to any physical system and extends towards the thermodynamic limit, is based on…

Statistical Mechanics · Physics 2015-05-28 Stefan Schnabel , Daniel T. Seaton , David P. Landau , Michael Bachmann

We investigate unification of two systems of identical elements having different dimensions which may be of interest for both physics and economics. Characteristic parameters as well as explicit formulae for the temperature (in economics -…

Statistical Finance · Quantitative Finance 2015-10-06 I. A. Molotkov , A. I. Osin

A dryout point is recognized as the position where the phase transition from liquid to vapor occurs. In the one-dimensional case, by solving the stationary incompressible Navier-Stokes-Fourier equations with phase transition, we derive a…

Analysis of PDEs · Mathematics 2024-03-26 Yoshikazu Giga , Zhongyang Gu

The melting point of a material constitutes a pivotal property with profound implications across various disciplines of science, engineering, and technology. Recent advancements in machine learning potentials have revolutionized the field,…

Materials Science · Physics 2024-09-02 Fu-Zhi Dai , Si-Hao Yuan , Yan-Bo Hao , Xin-Fu Gu , Shipeng Zhu , Jidong Hu , Yifen Xu

Various soft materials share some common features, such as significant entropic effect, large fluctuations, sensitivity to thermodynamic conditions, and mesoscopic characteristic spatial and temporal scales. However, no quantitative…

Soft Condensed Matter · Physics 2017-03-10 Baoji He , Yanting Wang

This paper is devoted to study thermodynamic formalism for suspension flows defined over countable alphabets. We are mostly interested in the regularity properties of the pressure function. We establish conditions for the pressure function…

Dynamical Systems · Mathematics 2015-06-04 Godofredo Iommi , Thomas Jordan
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