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Transcritical carbon dioxide flow through adiabatic capillary tubes. 2. Mathematical modelling.

Author(s) : HERMES C. J. L., SILVA D. L., MELO C., et al.

Summary

This paper introduces two theoretical models to simulate the transcritical carbon dioxide (R744, CO2) flow through adiabatic capillary tubes. The mathematical models were put forward based on the mass, energy and momentum conservation principles written accordingly to their one-dimensional differential formulation. The numerical approach consisted of solving the resulting set of differential equations by an explicit first order method taking the pressure as the integration domain. Also, an alternative algebraic model was devised based on the analytical integration of the governing equations following an isenthalpic path. Both numerical and algebraic models were validated against experimental data covering different operating conditions and capillary tube geometries. A good agreement between the experimental and calculated mass flow rates was achieved, with 97% (numerical) and 94% (algebraic) of the data points being within an error band of plus or minus 10%. The numerical model was also employed to advance the knowledge about the transcritical carbon dioxide flow through adiabatic capillary tubes. See also this Bulletin, reference 2009-0588.

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Pages: 2008-2

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Details

  • Original title: Transcritical carbon dioxide flow through adiabatic capillary tubes. 2. Mathematical modelling.
  • Record ID : 2009-0589
  • Languages: English
  • Source: 8th IIR-Gustav Lorentzen Conference on Natural Working Fluids (GL2008)
  • Publication date: 2008/09/07

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