Piezothermal effect in a spinning gas

Geyko, V. I.; Fisch, N. J.

doi:10.1103/PhysRevE.94.042113

Title: Piezothermal effect in a spinning gas

Abstract

A spinning gas, heated adiabatically through axial compression, is known to exhibit a rotation-dependent heat capacity. However, as equilibrium is approached, an effect is identified here wherein the temperature does not grow homogeneously in the radial direction, but develops a temperature differential with the hottest region on axis, at the maximum of the centrifugal potential energy. This phenomenon, which we call a piezothermal effect, is shown to grow bilinearly with the compression rate and the amplitude of the potential. As a result, numerical simulations confirm a simple model of this effect, which can be generalized to other forms of potential energy and methods of heating.

Authors:

Geyko, V. I. ^[1];

^[1]

Princeton Univ., Princeton, NJ (United States)

Publication Date:: 2016-10-13

Research Org.:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1332298

Alternate Identifier(s):: OSTI ID: 1328825

Grant/Contract Number:: AC02-09CH11466; NA0002948

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review E

Additional Journal Information:: Journal Volume: 94; Journal Issue: 4; Journal ID: ISSN 2470-0045

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Geyko, V. I., and Fisch, N. J. Piezothermal effect in a spinning gas.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevE.94.042113.

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                    Geyko, V. I., & Fisch, N. J. Piezothermal effect in a spinning gas.  United States.  https://doi.org/10.1103/PhysRevE.94.042113

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                    Geyko, V. I., and Fisch, N. J. Thu .  
"Piezothermal effect in a spinning gas".  United States.  https://doi.org/10.1103/PhysRevE.94.042113.  https://www.osti.gov/servlets/purl/1332298.

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@article{osti_1332298,

  title        = {Piezothermal effect in a spinning gas},

  author       = {Geyko, V. I. and Fisch, N. J.},

  abstractNote = {A spinning gas, heated adiabatically through axial compression, is known to exhibit a rotation-dependent heat capacity. However, as equilibrium is approached, an effect is identified here wherein the temperature does not grow homogeneously in the radial direction, but develops a temperature differential with the hottest region on axis, at the maximum of the centrifugal potential energy. This phenomenon, which we call a piezothermal effect, is shown to grow bilinearly with the compression rate and the amplitude of the potential. As a result, numerical simulations confirm a simple model of this effect, which can be generalized to other forms of potential energy and methods of heating.},

  doi          = {10.1103/PhysRevE.94.042113},

  journal      = {Physical Review E},

  number       = 4,

  volume       = 94,

  place        = {United States},

  year         = {2016},

  month        = {10}

}

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Works referenced in this record:

Experimental study on a simple Ranque–Hilsch vortex tube
journal, March 2005

Gao, C. M.; Bosschaart, K. J.; Zeegers, J. C. H.
Cryogenics, Vol. 45, Issue 3
DOI: 10.1016/j.cryogenics.2004.09.004

Disruption of a compressed vortex
journal, January 2002

Borée, J.; Maurel, S.; Bazile, R.
Physics of Fluids, Vol. 14, Issue 7
DOI: 10.1063/1.1472505

Reduced Compressibility and an Inverse Problem for a Spinning Gas
journal, April 2013

Geyko, V. I.; Fisch, N. J.
Physical Review Letters, Vol. 110, Issue 15
DOI: 10.1103/PhysRevLett.110.150604

The vortex tube as a classic thermodynamic refrigeration cycle
journal, September 2000

Ahlborn, Boye K.; Gordon, Jeffrey M.
Journal of Applied Physics, Vol. 88, Issue 6
DOI: 10.1063/1.1289524

Maxwell’s Demon in the Ranque-Hilsch Vortex Tube
journal, August 2012

Liew, R.; Zeegers, J. C. H.; Kuerten, J. G. M.
Physical Review Letters, Vol. 109, Issue 5
DOI: 10.1103/PhysRevLett.109.054503

Parametric instability in a rotating cylinder of gas subject to sinusoidal axial compression. Part 1. Linear theory
journal, January 2008

Racz, J. -P.; Scott, J. F.
Journal of Fluid Mechanics, Vol. 595
DOI: 10.1017/S0022112007009238

Enhanced efficiency of internal combustion engines by employing spinning gas
journal, August 2014

Geyko, V. I.; Fisch, N. J.
Physical Review E, Vol. 90, Issue 2
DOI: 10.1103/PhysRevE.90.022139

On the instantaneous cutting of a columnar vortex with non-zero axial flow
journal, November 1997

Marshall, J. S.; Krishnamoorthy, S.
Journal of Fluid Mechanics, Vol. 351
DOI: 10.1017/S0022112097007064

Advanced compression-ignition engines—understanding the in-cylinder processes
journal, January 2009

Dec, John E.
Proceedings of the Combustion Institute, Vol. 32, Issue 2
DOI: 10.1016/j.proci.2008.08.008

Works referencing / citing this record:

Understanding turbulence in compressing plasma as a quasi-EOS
journal, June 2019

Davidovits, Seth; Fisch, Nathaniel J.
Physics of Plasmas, Vol. 26, Issue 6
DOI: 10.1063/1.5098790

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Similar Records

Title: Piezothermal effect in a spinning gas

Abstract

Citation Formats

Experimental study on a simple Ranque–Hilsch vortex tube journal, March 2005

Disruption of a compressed vortex journal, January 2002

Reduced Compressibility and an Inverse Problem for a Spinning Gas journal, April 2013

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journal, April 2013

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