Case 1: Material system without density and viscosity differences Though unlikely in real life, in this case, we assume that all of the material in the homogenizer is of the same density and viscosity. Thus, only one set of material parameters are mentioned (density, ρ; dynamic viscosity, μ). The important parameters are listed as follows: Target quantity : Mixing time, θ Geometric parameters : Stirrer diameter, d Material parameters : Density, ρ Dynamic viscosity, μ Process-related parameters : Stirrer speed, n 1.1) Write out the relevance list for Case 1. 1.2) Generate the pi-set for this case. 1.3) Write out the appropriate pi (π) numbers from the generated pi-set.
Case 1: Material system without density and viscosity differences
Though unlikely in real life, in this case, we assume that all of the material in the homogenizer is of the same density and viscosity. Thus, only one set of material parameters are mentioned (density, ρ; dynamic viscosity, μ). The important parameters are listed as follows:
Target quantity : Mixing time, θ
Geometric parameters : Stirrer diameter, d
Material parameters : Density, ρ
Dynamic viscosity, μ
Process-related parameters : Stirrer speed, n
1.1) Write out the relevance list for Case 1.
1.2) Generate the pi-set for this case.
1.3) Write out the appropriate pi (π) numbers from the generated pi-set.
1.4) Identify the established dimensionless numbers from the derived pi (π) numbers.
1.5) Write the possible relationship of the dimensionless numbers for Case 1.
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