Mathematical modeling and simulation of near-critical fluids

  Supercritical fluids at the near-critical point present some anomalous properties, such as rapid changes in reactivity, thermal-conductivity, speed of sound, and so on. At the near-critical point, the fluids have both liquid and gaseous properties. Those fluids have been already studied experimentally such in chemical, environmental and mechanical engineerings. Research groups in these fields are challenging to utilize those anomalous properties for developing innovative facilities or materials. However, since the supercritical fluids must be kept by high pressure and high or moderate temperature, the experimental facilities for the fluids to maintain the severe conditions may be expensive. In addition to this, the measurement of those anomalous properties in the fluids seems to be not so easy. Recently, we developed a preconditioning method for simulating flows at very low Mach number.We apply the preconditioning method to the calculation of near-critical fluids.  In addition to this, the Peng-Robinson equation of state for real gas is newly employed for the present method to calculate the thermal properties of near-critical fluids. Also the speed of sound is theoretically derived from the equation and installed in the present method.

Calculated results 1,2,3,4

References

Satoru Yamamoto, Preconditioning Method for Compressible Near-critical Fluids in Micro-channel, Proceedings of 3rd Int. Conf. on Computational Fluid Dynamics-Toronto, (2004-7).

Satoru Yamamoto and Byeong Rog Shin, PRECONDITIONED FLUX-SPLITTING METHOD FOR CONDENSATE FLOWS AND NEAR-CRITICAL FLUIDS, ECCOMAS2004-Jyvaskyla, (2004-7), CD-ROM.


Satoru Yamamoto, Masayuki Toratani and Yasuhiro Sasao, Preconditioning Method applied to Near-critical Carbon-dioxide Flows in Micro-channel, JSME International Journal, 48-3(2005), 532-539.