ON THE THEORETICAL BASE OF VISCOUS SHOCK LAYER EQUATIONS AND THE FURTHER DEVELOPMENTS
论粘性激波层理论的理论基础及其进一步发展

In the present paper, the method of matched asymptotic expansions is introduced to the Davis' viscous shock layer theory, and the result of the first order of approximation leads to the same hypersonic chemically reacting viscous shock layer equations as with the Davis' method. Although the resulting equations are the same, the fundamental assumptions of the latter method is more restricteived. The result of the second order approximation given for me first time in the present paper leads to a theoretical modification to Davis' viscous shock layer theory and it is also a method to enhance the numerical solution precision. It is expected that this modification could play a certain role in the development of the numerical solution method to the hypersonic viscous flow problems over blunted bodies and could help us understand the details of some flow problems.