Fanno processes in dense gases

Cramer, M. S.; Monaco, J. F.; Fabeny, B. M.

doi:10.1063/1.868307

Cited by 11 publications

(2 citation statements)

References 19 publications

(1 reference statement)

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“…Afterwards, Kluwick (1993) discussed the viscous and real gas interaction for a transonic nozzle, after using the small-perturbation technique and explored the non-classical fluid effects on the throat geometry and the shock-wave formation. Cramer & Fry (1993) used a similar approach for the evaluation of non-classical expansion in inviscid nozzles, and in a different work Cramer, Monaco & Fabeny (1994) evaluated the Fanno flows of non-ideal dense gases. In this same trend Schnerr & Leidner (1994) presented a rigorous evaluation of internal flows with multiple sonic points, which occurred in non-classical flows.…”

Section: Introductionmentioning

confidence: 99%

Viscous effects on real gases in quasi-one-dimensional supersonic convergent divergent nozzle flows

Restrepo

Simões-Moreira²

2022

J. Fluid Mech.

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Viscous effects on an ideal gas flow in a supersonic convergent–divergent nozzle are a well-studied subject in classical gas dynamics. However, the ideal assumption fails on fluids that exhibit complex behaviours such as near-critical-region and non-ideal dense vapours. Under those conditions, a realistic equation of state (EOS) plays a vital role for a precise and realistic computation. This work examines the problem for solving the quasi-one-dimensional viscous compressible flow using a realistic EOS. The governing equations are discretised and solved using the fourth-order Runge–Kutta method coupled with a state-of-the-art EOS to calculate the thermodynamic properties. The role of the Grüneisen parameter along with viscous and real gas effects and their influence on the sonic point formation are discussed. The study shows that the flow may not achieve the supersonic regime for any pressure ratio depending on the combination of that parameter and the normalised friction factor. In addition, the analysis yields the discharge coefficient and the isentropic nozzle efficiency, which may achieve maximum values as a function of the stagnation conditions. Finally, the study also evaluates the formation and intensity of normal shock waves by using the Rankine–Hugoniot relations, which now depend on the real gas and viscous effects in opposition to the inviscid solution. Moreover, the methodology used captures the sonic point and shock wave position by a space marching algorithm using the Brent method for scalar minimisation. Experimental data available in the open literature corroborate the approach.

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Section: Introductionmentioning

confidence: 99%

Viscous effects on real gases in quasi-one-dimensional supersonic convergent divergent nozzle flows

Restrepo

Simões-Moreira²

2022

J. Fluid Mech.

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“…Similar split-shock configurations have also been predicted in nozzle flows 5,6 and Fanno flows. 7 Shock splitting has also been described in the context of the existence and disintegration of compression shocks by Cramer 12 and Menikoff and Plohr. 16 In order to provide an example of the representation of shocked Rayleigh flows in the p-V plane we have sketched the Q vs V curve and the Rayleigh line and shock adiabats corresponding to the split-shock flow 02-5-b-10-11-a in Figs.…”

Section: -11mentioning

confidence: 99%

Rayleigh processes in single-phase fluids

Cramer

2006

Physics of Fluids

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In the present study we examine Rayleigh flows of single-phase, nonreacting fluids. When the fluid is of the Bethe-Zel'dovich-Thompson type, it is shown that as many as three sonic points and extrema of the entropy, enthalpy, and heat supply can occur on a fixed Rayleigh line. Exact solutions for van der Waals gases are provided, as is a complete theory of shocked and unshocked flows subjected to strict heating or strict cooling. Further nonclassical results of interest include the occurrence of flow choking in unshocked and shocked strictly cooled flows, the occurrence of as many as three shock waves in cooled or heated flows, and shock splitting in both cooled and heated flows.

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Liquefaction Shock Waves

Meier¹

2007

Shock Wave Science and Technology Reference Library

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Fanno processes in dense gases

Cited by 11 publications

References 19 publications

Viscous effects on real gases in quasi-one-dimensional supersonic convergent divergent nozzle flows

Viscous effects on real gases in quasi-one-dimensional supersonic convergent divergent nozzle flows

Rayleigh processes in single-phase fluids

Liquefaction Shock Waves

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