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Scaling Chemical Processes by Jonathan Worstell

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image (6.43)

Its determinant is

|R|=|2110311000232001101000001|=2 (6.44)

image (6.44)

Thus the Rank of this Dimension matrix is 5. The number of dimensionless parameters is

NP=NVarR=195=14 (6.45)

image (6.45)

Table 6.3

Dimension Table for First-Order, Homogenous Batch Reaction With Agitation

Variable V ASurf D B Δt kS ω P E/R ΔTWF CF μ h ρ CP k CSΔHR TS CS
Dimension L 3 2 1 1 0 0 0 2 0 0 −3 −1 0 −3 2 1 −1 0 −3
M 0 0 0 0 0 0 0 1 0 0 0 1 1

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