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Macroscopic or Engineering Balances
Published in Joel L. Plawsky, Transport Phenomena Fundamentals, 2020
In terms of the heat capacity ratio, γ = Cp/Cv we have: ΔH^=RMw∫T1T2γγ−1dTIdeal gas
Transportation and Storage
Published in Arthur J. Kidnay, William R. Parrish, Daniel G. McCartney, Fundamentals of Natural Gas Processing, 2019
Arthur J. Kidnay, William R. Parrish, Daniel G. McCartney
17.2 At the exit of the pipeline segment in Exercise 17.1, the gas enters a compressor station and is recompressed to its original pressure, 1,200 psia (83 bara). What compressor horsepower (bhp [MW]) is required for the recompression? Assume a compressor efficiency of 70%. The heat capacity ratio is 1.29.
Thermodynamics of Gases at Low Pressures
Published in Igor Bello, Vacuum and Ultravacuum, 2017
Despite inconsistency in theoretical and experimental heat capacities (CV, Cp), the deviations of theoretical heat capacity ratios from experimental values are not as significant as indicated by heat capacities, which is one of the most surprising outcomes of the molecular kinetic theory of gases. Aside a large temperature variation, the heat capacity ratio of gases does not change significantly. For example, the heat capacity ratio of air changes from κ = 1.401 at –40 °C to κ = 1.321 at 1000 °C.79 At 50 °C, κ = 1.4 and at 200 °C, κ = 1.399. The ratio of heat capacities weakly depends on the temperature. The specific heat capacities with weak dependences can still be approximated by polynomial fitting.80,81
A Numerical Study on Heat Transfer Performance in a Straight Microchannel Heat Sink with Standing Surface Acoustic Waves
Published in Heat Transfer Engineering, 2021
Sining Li, Hongna Zhang, Jianping Cheng, Weihua Cai, Xiaobin Li, Jian Wu, Fengchen Li
The first-order variables describe the amplitude of acoustic motion and are solved by adopting the module of Thermoviscous Acoustics, Frequency Domain Interface in COMSOL. Based on the above assumptions, the governing equations are expressed as follows: where stand for mass density, shear dynamic viscosity and bulk shear dynamic viscosity, respectively; CP, are the thermal expansion coefficient, specific heat capacity, specific heat capacity ratio and isentropic compressibility, respectively. All the first-order fields are assumed to have a harmonic time dependence () inherited from SAW [32]. It is noted that the streaming flow induced by SAW is produced from the thermoviscous boundary layer, and the disturbed boundary layer affects the streaming flow in turn. The two characteristic thicknesses of thermal and viscous boundary layers and are defined as in Eq. (8) [33]
Direct Numerical Simulation of the Richtmyer–Meshkov Instability in Reactive and Nonreactive Flows
Published in Combustion Science and Technology, 2020
Maximilian Bambauer, Josef Hasslberger, Markus Klein
The reference speed of sound is defined as , using the heat capacity ratio and specific gas constant . The Lewis number is defined as . The parameters and are calculated using as per definition of the reference parameter . With the Zeldovich number and , the chemical reaction rate , found in Equation (4), is modeled using the following one-step Arrhenius approach.
A new empirical potential energy function for Ar2
Published in Molecular Physics, 2018
Philip T. Myatt, Ashok K. Dham, Pragna Chandrasekhar, Frederick R. W. McCourt, Robert J. Le Roy
Due to relatively recent improvements in acoustic resonators, adiabatic speed-of-sound measurements can now be carried out much more accurately than equation-of-state pressure-volume measurements, with experimental uncertainties typically of order 0.1%. Speed-of-sound data may be represented by a virial equation having a form [67,68] similar to that of Equation (2), namely, in which uad is the adiabatic speed of sound, γ° is the ideal gas value of the heat capacity ratio γ ≡ CP/CV = 5/3 , is the molecular weight, is the adiabatic speed of sound for an ideal gas, while β2a(T) and β3a(T) are the second and third acoustic virial coefficients, respectively. We shall be concerned here only with β2a(T), which is related to the second pressure virial coefficient B2(T) and its first and second derivatives with respect to temperature by [67–69] Integral expressions for classical and quantum correction contributions to β2a(T) and their partial derivatives with respect to potential function parameters may be obtained readily from Equations (3)–(6) and (8).