Instabilities in stratified mixing layers

Gelfgat & Kit, JFM, 2006, vol. 552, pp. 189-227


Basis state velocity profiles:

 

temporal:    ,

spatial:          ,

 

we consider:  

 

 

 

Temporal inviscid problem:

 

 

Spatial inviscid problem (a=1+b):

 

 

Iterative procedure (inviscid isothermal flow):

Start from b0=0 and proceed with:

 

 

·    The eigenproblem for each b(n+1) is linear;

·    Converged b and the corresponding eigenvector yields solution for the spatial problem;

·    Solution of the temporal problem is given by w0=b1/2l.

 

Iterative procedure for general case:

 

 

 

 

 

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