Nondimensional Analysis

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

    ε = KV^3 /(2*π-cell*b)

Thus, ε*b/V^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 baffle spacing is b. To be able to compare energy dissipation rate for different flow properties and geometry, we should always non-dimensionalize ε.



Figure 1. Nondimensionalized energy dissipation rate (fh = 0.4 bs = 0.1, v = 0.1)

Figure 1 shows an example of nondimensionalized contour of energy dissipation rate. Note that the nondimensionalized epsilon is off by a factor of 100 compared to the epsilon.