Nondimensional Analysis

Dimensional analysis relates ε to K,V, π and baffle width, as follows:

    ε = KV^3 /(2*π-cell*b)

Thus, 2ε*b/KV^3 represents a dimensionless quantity where K is the minor loss coefficient (the drop in the pressure coefficient per baffle), b is the baffle spacing, and V is the average velocity flowing through the channel when the space is b.

For the optimized geometry below, the baffle spacing is fixed at .1, and baffle height enables a fully developed dissipation region: 
 
The nondimensionalized epsilon plot is shown below: 

 
The plot is equivalent to 50*ε (since (2*.1)/(.1^3*4.2)=48). Similarly for the 1-turn baffle case the nondimensional parameters can be plotted:

 
The nondimensional values for one turn are comparable in magnitude. Similarly for the three turn case, the nondimensional epsilon values match the five turn case.


 For more nondimensionalized plots of epsilon for varying geometries see...