Augmented Burnett and Bhatnagar-Gross-Krook-Burnett equations for hypersonic flow

Journal of Thermophysics and Heat Transfer

Volumn 12, Issue 3, 1998, Pages 328-335

  Yun, Keon Young ^a,b   Agarwal, Ramesh K ^a,b,c   Balakrishnan, Ramesh ^a,b  

^a WICHITA STATE UNIVERSITY   (United States)

^b Aerospace Medicine Department 559 AMDS JBSA Lackland   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; ENTROPY; HEAT FLUX; HEAT TRANSFER; INTEGRAL EQUATIONS; NAVIER STOKES EQUATIONS; PRANDTL NUMBER; REYNOLDS NUMBER; THERMAL CONDUCTIVITY;

BHATNAGAR-GROSS-KROOK-BURNETT EQUATIONS; BURNETT EQUATIONS; KNUDSEN NUMBER; MACH NUMBER; SECOND-ORDER CHAPMAN-ENSKOG EXPANSION;

HYPERSONIC FLOW;

EID: 0032115166     PISSN: 08878722     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.6365     Document Type: Article

References (7)

1. Fiscko, K. A., and Chapman, D. R., Comparison of Burnett, Super-Burnett and Monte Carlo Solutions for Hypersonic Shock Structure, Vol. 118, Progress in Aeronautics and Astronautics, AIAA, Washington, DC, 1989, pp. 374-395.
2. Zhong, X., "Development and Computation of Continuum Higher Order Constitutive Relations for High-Altitude Hypersonic Flow," Ph.D. Dissertation, Stanford Univ., Stanford, CA, 1991.
3. Welder, W. T., Chapman, D. R., and MacCormack, R. W., "Evaluation of Various Forms of the Burnett Equations," AIAA Paper 93-3094, July 1993.
4. Comeaux, K. A., Chapman, D. R., and MacCormack, R. W., "An Analysis of the Burnett Equations Based on the Second Law of Thermodynamics," AIAA Paper 95-0415, Jan. 1995.
5. Balakrishnan, R., and Agarwal, R. K., "Numerical Simulation of Bhatnagar-Gross-Krook-Burnett Equations for Hypersonic Flow," Journal of Thermophysics and Heat Transfer, Vol. 11, No. 3, 1997, pp. 391-399.
6. Hoffmann, K. A., "Transformation of the Equations of Fluid Motion," Computational Fluid Dynamics for Engineers, 1st ed., Engineering Education System, Austin, TX, 1989, pp. 306-369.
7. Steger, J. L., and Warming, R. F., "Flux Vector Splitting of the Inviscid Gas Dynamics Equations with Application to Finite-Difference Methods," Journal of Computational Physics, Vol. 40, No. 2, 1981, pp. 263-293.