Combined rheometer/mixer having helical blades and methods of determining rheological properties of fluids
US-9702800-B2 · Jul 11, 2017 · US
US10112162B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10112162-B2 |
| Application number | US-201615010317-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jan 29, 2016 |
| Priority date | Jan 29, 2016 |
| Publication date | Oct 30, 2018 |
| Grant date | Oct 30, 2018 |
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A method is provided for monitoring a flow behavior of mixed components without requiring additional instrumentation or sampling. The method is carried out by determining ratios of the power required to rotate a mixing impeller at different rotational speeds and then comparing the ratios. Characteristics about the mixed components are determined based on differences between the ratios.
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What is claimed is: 1. A method of monitoring a flow behaviour of mixed components, comprising: rotating a mixing impeller at a first speed N 1 in a mixing vessel accommodating the components to be mixed; determining a first quantity P 1 N 1 3 at the first speed N 1 , wherein N 1 is the speed at which the mixing impeller rotates and P 1 is the power required to rotate the mixing impeller at the first speed N 1 ; decreasing the speed of the mixing impeller to a speed N 2 ; determining a second quantity P 2 N 2 3 at the second speed N 2 , wherein N 2 is the speed at which the mixing impeller rotates and P 2 is the power required to rotate the mixing impeller at the second speed N 2 ; comparing the first quantity P 1 N 1 3 and the second quantity P 2 N 2 3 and detecting whether the difference between the first and second quantities is within a specified range to determine whether the flow of the components in the mixing vessel is a turbulent flow; determining the density ρ of the mixed components based on at least one speed N i for which the flow is determined to be turbulent by the following formula: ρ = P i N P , constant N i 3 D 5 wherein ρ is the density, P 1 is the power required to turn the mixing impeller at the speed N i , N P,constant is the Power number for a used mixing system configuration, N i is the speed at which the mixing impeller rotates and D is the diameter of the mixing impeller; further decreasing the speed of the mixing impeller; determining the Power number N P,variable for at least one detected speed N j at which the flow is determined to be non-turbulent by the following formula: N P , variable = P j ρ N j 3 D 5 wherein P j is the power required to rotate the mixing impeller at the speed N j , ρ is the density previously determined based on N P,constant , N j is the speed at which the mixing impeller rotates, and D is the diameter of the mixing impeller; and determining the dynamic viscosity μ of the mixed components by the following formula: μ = ρ 2 N j 5 D 6 x T P j wherein ρ is the calculated density, N j is the speed at which the mixing impeller rotates, D is the diameter of the mixing impeller, P j is the power required to rotate the mixing impeller at the speed N j and x T corresponds to a specified relationship between the Reynolds number for the used mixing system configuration and the determined Power number N P,variable . 2. The method of claim 1 , wherein the current speed N i is iteratively reduced to a speed N i+1 and the quantity P i + 1 N i + 1 3 is iteratively determined at the respective speed N i+1 as long as a turbulent flow is determined when comparing the determined quantity P i + 1 N i + 1 3 with the previously determined quantity P i N i 3 . 3. The method of claim 1 , wherein the average density ρ is calculated based on plural densities ρ i determined for plural speeds N i for which the flow is determined to be turbulent. 4. The method of claim 1 , wherein the speed N i of the mixing impeller is reduced in steps and the speed N i is maintained for a specified time t stab so that a flow pattern is able to stabilize at each speed. 5. The method of claim 1 , further comprising the step of outputting the determined density ρ and the dynamic viscosity μ.
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