TY - JOUR
T1 - A unified treatment of general fluid thermodynamics and its application to a preconditioning scheme
AU - Meng, Hua
AU - Yang, Vigor
N1 - Funding Information:
This work was sponsored by the Air Force Office of Scientific Research under Grant No. F49620-01-1-0114. The authors gratefully acknowledge the support from Dr. Mitat A. Birkan, contract monitor of the program.
PY - 2003/7/20
Y1 - 2003/7/20
N2 - A unified treatment of general fluid thermodynamics is developed to handle fluid flows over their entire thermodynamic states. The analysis is based on the concepts of partial-mass and partial-density properties, and accommodates thermodynamic non-idealities and transport anomalies in the transcritical regime. The resultant routine is incorporated into a preconditioning scheme. All the thermophysical properties and numerical Jacobian matrices are derived directly from fundamental thermodynamic theories, rendering a robust algorithm valid for fluid flows at all speeds and at all thermodynamic states. As a specific example, a modified Soave-Redlich-Kwong equation of state is employed to obtain the fluid p-V-T properties. Several test cases concerning supercritical droplet vaporization in both quiescent and convective environments are presented to demonstrate the effectiveness of the present algorithm.
AB - A unified treatment of general fluid thermodynamics is developed to handle fluid flows over their entire thermodynamic states. The analysis is based on the concepts of partial-mass and partial-density properties, and accommodates thermodynamic non-idealities and transport anomalies in the transcritical regime. The resultant routine is incorporated into a preconditioning scheme. All the thermophysical properties and numerical Jacobian matrices are derived directly from fundamental thermodynamic theories, rendering a robust algorithm valid for fluid flows at all speeds and at all thermodynamic states. As a specific example, a modified Soave-Redlich-Kwong equation of state is employed to obtain the fluid p-V-T properties. Several test cases concerning supercritical droplet vaporization in both quiescent and convective environments are presented to demonstrate the effectiveness of the present algorithm.
UR - https://www.scopus.com/pages/publications/0038454584
UR - https://www.scopus.com/inward/citedby.url?scp=0038454584&partnerID=8YFLogxK
U2 - 10.1016/S0021-9991(03)00211-0
DO - 10.1016/S0021-9991(03)00211-0
M3 - Article
AN - SCOPUS:0038454584
SN - 0021-9991
VL - 189
SP - 277
EP - 304
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 1
ER -