How can I calculate a singular integral due to Kirchhoff integral in supersonic flow and mach cone line?

Hamed Faghanpourganji @Hamed_Faghanpourganji

06 June 2016 1 5K Report

Hi everybody,

I am a Young researcher in aeroacoustics and I work with Kirchhoff integral in supersonic flow, due to Mach cone I face with a singular integral, in simple form of these integrals are in attached figure form and i like to solve this problem,

who can help me?

With Best Regards for your time

Hamed Faghanpourganji

Dear Dr.Bernard

Thank you so much for answer

but i think my problem is a little difference,

i suppose shock occur in behind the vibrating structure and i don't consider shock effect in my computation, i e i have completely uniform flow,

about FWH analogy, i think this problem exist in it too, because i have surface integral in solid surface and it appear again

Regards

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