MSMPR Crystallizer Size Distribution Calculator
Chemical process engineering: Solve the steady-state MSMPR population balance equation ($n(L) = n_0 e^{-L / G\tau}$), calculating nucleation rate ($B_0$), mean residence time ($\tau$), and dominant crystal size ($L_D$).
Crystallizer Operational Specs
Assumes McCabe Delta-L Law
Suspended solids slurry density
Crystal Morphological Properties
Sphere = π/6 ≈ 0.5236; Cube = 1.0
Size Distribution & Nucleation Output
Mean Residence Time τ:
--
hours (V / Q)
Dominant Size L_D (Modal):
--
μm (L_D = 3 G τ)
Median Size L₅₀:
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μm (3.67 G τ)
Mean Size L₁₀:
--
μm (1.0 G τ)
Nucleation Rate B₀:
--
#/ (m³ · s)
Population Balance Moments
Zero-Size Population Density $n_0$:
--
Total Crystal Production Rate:
--
Coefficient of Variation (CV):
50.0% (Ideal MSMPR)
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