Instabilities in stratified mixing layers

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


Boussinesq equations

 

 

 

 

Boundary conditions for temporal problem

 

at y=–∞:         ,

 

at y=+∞:         ,

 

and periodicity conditions in the horizontal directions

 

Boundary conditions for spatial problem

 

at y=–∞:         ,

 

at y=+∞:         ,

 

and periodicity conditions in z-direction

 

 

Linearized Orr-Sommerfeld and energy equations

 

 

 

 

 

 

Basis state velocity profiles:

 

 

temporal:    ,      

spatial:  ,      

 

temperature profile (temporal & spatial):      ,

 

we consider:  

                                                                                         see graphs

 

top    close