Show that for the chambered flame problem of Figure 6.1.1 with constant mass flux m = ρu, the final...

Question

Show that for the chambered flame problem of Figure 6.1.1 with constant mass flux m = ρu, the final results should be identical to the m = 0 case if we identify a new spatial coordinate

which replaces

, where

David · Accepted Answer

Solution 
Consider the equation for coupling function  
i iT Y    
Is written as, 
( )
( / ) ( / ) 0i ip p
v
c c
y x x y y
  
 
     
    
       
 
Here the given mass flux is given as, 
m v  
So, / pc k    
Now the equation can be written as,

Show that for the chambered flame problem of Figure 6.1.1 with constant mass flux m = ρu, the final results should be identical to the m = 0 case if we identify a new spatial coordinate which...

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