Study of Two-Dimensional Compressible Non-Acoustic Modeling of Stirling Machine Type Components

Starting with an existing two-dimensional incompressible e ow computer code, a two-dimensional code was developed for modeling enclosed gas volumes with oscillating boundaries. The incompressible code was modie ed to use compressible nonacoustic Navier‐ Stokes equations. The devices modeled have low Mach numbers and are sufe cientlysmallthatthetimerequiredforacousticstopropagateacrosstheinteriorsissmallcomparedtothecycle period.Therefore,acousticswereexcludedtominimizecomputingtime.Thecompressiblenonacousticassumptions are discussed. The governing equations are presented in transport equation format. The numerical methods are briee y described.Codepredictionsarecompared with experimentaldata.Compressiblenonacousticpredictionsof gas spring losses agreed well with 10-rpm test data, and »50- and 500-rpm calculated and experimental pressure‐ volume diagrams agreed well. For a heat-exchanger/piston-cylinder test rig, calculations of heat exchanger heat e uxes at various axial locations over the cycle agreed well qualitatively with the data, but quantitative agreement was not good.

[1]  W. E. Ibele,et al.  Numerical prediction of turbulent oscillating flow and associated heat transfer , 1991 .

[2]  Joerg R. Seume,et al.  Fluid mechanics experiments in oscillatory flow. Volume 1 , 1992 .

[3]  Steven M. Geng,et al.  Overview of NASA supported Stirling thermodynamic loss research , 1992 .

[4]  Nagi N. Mansour,et al.  Modeling of Turbulence in Internal Combustion Engines , 1982 .

[5]  A. T. Fedorchenko.  A model of unsteady subsonic flow with acoustics excluded , 1997 .

[6]  Steven M. Geng,et al.  Comparison of GLIMPS and HFAST Stirling engine code predictions with experimental data , 1992 .

[7]  Alan Abram Kornhauser,et al.  Gas-wall heat transfer during compression and expansion , 1989 .

[8]  R. Shaltens,et al.  Technology assessment of DOE's 55-We Stirling Technology Demonstrator Convertor (TDC) , 2000, Collection of Technical Papers. 35th Intersociety Energy Conversion Engineering Conference and Exhibit (IECEC) (Cat. No.00CH37022).

[9]  Terrence W. Simon,et al.  MODELING OSCILLATORY LAMINAR, TRANSITIONAL AND TURBULENT CHANNEL FLOWS AND HEAT TRANSFER , 1994 .

[10]  Christoph W. Ueberhuber,et al.  Numerical Computation 2 , 1997 .

[11]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[12]  H. Esser,et al.  European immigration policy: Federal Republic of Germany , 1985 .

[13]  J. Meacher,et al.  Automotive Stirling Engine Development Program , 1982 .

[14]  Derek B. Ingham,et al.  Theoretical investigations on the Stirling engine working process , 2000, Collection of Technical Papers. 35th Intersociety Energy Conversion Engineering Conference and Exhibit (IECEC) (Cat. No.00CH37022).

[15]  J. L. Smith,et al.  Application of a Complex Nusselt Number to Heat Transfer During Compression and Expansion , 1994 .

[16]  B. Launder,et al.  THE NUMERICAL COMPUTATION OF TURBULENT FLOW , 1974 .

[17]  Lanny G. Thieme,et al.  Technology Development for a Stirling Radioisotope Power System for Deep Space Missions , 1999 .

[18]  Terrence W. Simon,et al.  CFD Modeling of Free-Piston Stirling Engines , 2001 .