Regular reflection in potential flow and the sonic criterion
نویسندگان
چکیده
منابع مشابه
Regular reflection in potential flow and the sonic criterion
We study the classical problem of self-similar reflection of shocks at a ramp, modeled by potential flow with γ-law pressure. Depending on corner angle θ and upstream Mach number MI , either regular (RR) or Mach reflections occur. There are several conflicting transition criteria predicting the corner angle at which the type of reflection changes. We show that in some cases, in particular MI = ...
متن کاملRegular reflection in self-similar potential flow and the sonic criterion
Reflection of a shock from a solid wedge is a classical problem in gas dynamics. Depending on the parameters either a regular or a irregular (Mach-type) reflection results. We construct regular reflection as an exact self-similar solution for potential flow. For some upstream Mach numbers MI and isentropic coefficients γ, a solution exists for all wedge angles θ allowed by the sonic criterion. ...
متن کاملRegularity of Solutions to Regular Shock Reflection for Potential Flow
The shock reflection problem is one of the most important problems in mathematical fluid dynamics, since this problem not only arises in many important physical situations but also is fundamental for the mathematical theory of multidimensional conservation laws that is still largely incomplete. However, most of the fundamental issues for shock reflection have not been understood, including the ...
متن کاملCounterexamples to the sonic criterion
We consider self-similar (pseudo-steady) shock reflection at an oblique wall. There are three parameters: wall corner angle, Mach number, angle of incident shock. Ever since Ernst Mach discovered the irregular reflection named after him, it has been an open problem to predict precisely for what parameters the reflection is regular. Three conflicting proposals, the detachment, sonic and von Neum...
متن کاملInstability of Strong Regular Reflection and Counterexamples to the Detachment Criterion
We consider a particular instance of reflection of shock waves in selfsimilar compressible flow. We prove that local self-similar regular reflection (RR) cannot always be extended into a global flow. Therefore the detachment criterion is not universally correct. More precisely, consider the following angle condition: the tangent of the strong-type reflected shock meets the opposite wall at a sh...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PAMM
سال: 2007
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200700048