Kinetic Model Equations for a Gas Mixture

1964 ◽  
Vol 7 (12) ◽  
pp. 2012 ◽  
Author(s):  
T. F. Morse
AIAA Journal ◽  
1996 ◽  
Vol 34 (10) ◽  
pp. 2071-2081 ◽  
Author(s):  
J. Y. Yang ◽  
J. C. Huang ◽  
C. S. Wang

1973 ◽  
Vol 10 (3) ◽  
pp. 425-431
Author(s):  
Ta-Ming Fang

A previously developed set of kinetic model equations for a chemically-reacting gas is modified. By examining closely the H theorem, a new set of constraints is obtained. These conditions are then used to determine the inelastic collision parameters proposed in the model. The kinetic equations so obtained are able to produce exactly the same rate equations as prescribed by the actual chemical reactions.


1987 ◽  
Author(s):  
E B Reeve

A kinetic model, based on published studies of thrombin neutralization, is used to examine factors that limit spread of free thrombin in a simple plasma. It employs equations with presently available rate parameters which describe the courses of the major thrombin-binding reactions at 37°C in buffered saline solutions approximating plasma ultrafiltrate. Thrombin is bound reversibly by fibrinogen and fibrin-1 polymers as enzyme-substrate complexes (1) and by “fibrin” at a non-proteolyt ic site (2), and essentially irreversibly by antithrombins (3). These bindings reduce free thrombin levels and so limit spread of activity. The model equations with parameters from (1) and (3) show that thrombin neutralization by thrombin-substrate complexes is very brief and thrombin-antithrombin reactions are much too slow for early reduction of thrombin activity. However, parameters from (2) show that rapid reversible binding of thrombin by “fibrin” much reduces level of free thrombin and the level continues to fall as the thrombin is passed to the antithrombins. The model shows that a rapidly-acting antithrombin (e.g. heparin-ATIII) could reduce free thrombin fast enough to inhibit slower thrombin activations (e.g. of FXIII), and that a sufficient concentration of a reversible binder can govern the level of free thrombin. This suggests that a non-toxic reversible binder, with suitable Kd and half-life, would be valuable in treating thrombosis. Verification and extension of the model findings require better experimental definition of the parameters.(1) Lewis, S.D. et al. J. Biol. Chem. 260, 10192-10199, 1985.(2) Liu, C.Y. et al. J. Biol. Chem. 254, 10421-10425, 1979.(3) Jordan, R. et al. J. Biol. Chem. 254, 2902-2913, 1979. (Supported by grants from the Colorado Heart Foundation)


ENERGYO ◽  
2018 ◽  
Author(s):  
Santosh Kumar Sriramoju ◽  
A. Suresh ◽  
Pratik Swarup Dash ◽  
P. K. Banerjee

2003 ◽  
Vol 10 (1/2) ◽  
pp. 101-112 ◽  
Author(s):  
E. Marsch ◽  
C. Vocks ◽  
C.-Y. Tu

Abstract. This paper concisely summarizes and critically reviews recent work by the authors on models of the heating of the solar corona by resonance of ions with high-frequency waves (up to the proton cyclotron frequency). The quasi-linear theory of pitch angle diffusion is presented in connection with relevant solar wind proton observations. Hybrid fluid-kinetic model equations, which include wave-particle interactions and collisions, are derived. Numerical solutions are discussed, representative of the inner corona and near-Sun solar wind. A semi-kinetic model for reduced velocity distributions is presented, yielding kinetic results for heavy ions in the solar corona. It is concluded that a self-consistent treatment of particle distributions and wave spectra is required, in order to adequately describe coronal physics and to obtain agreement with observations.


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