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Three Steps to Better Mixing
H.S. Pordal, Ph.D., and C.J. Matice, Ph.D., P.E.
Chemical facilities stand to benefit from a three-tiered approach to the analysis, design and scale-up of liquid-liquid mixing practices
Mixing is a key process in the chemical, pharmaceutical and related industries. Inadequate understanding of mixing can result in unsatisfactory product quality and increased production costs.
Mixing operations often are complex and multi-faceted. They not only require an understanding of the fluid flow aspects, but also an understanding of the equipment's mechanical and power requirements. Mixing operations can involve single-phase liquid mixing, liquid,"liquid mixing, solid,"liquid mixing, gas,"liquid mixing, solid,"solid mixing and, in some cases, three-phase mixing involving solids, liquids and gases.
Liquid,"liquid mixing
The primary function of a mixing vessel is to provide adequate stirring and mixing of the material. The mixing characteristics influence the product quality and efficiency of the process to a great degree.
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For liquids, mixers ," or stirred vessels ," come in various shapes and sizes. The main vessel is cylindrical in shape, and the vessel bottom is often contoured. Baffles are included in the vessel to break the vortex and prevent solid-body rotation of the fluid. Draft tubes are included to direct suction and discharge streams. Dip tubes are employed to inject fluids at specific locations.
An important component of a stirred tank is the impeller. The rotating impeller imparts motion and shear to the fluid, inducing mixing. The type of impeller employed depends on the nature of the task. Often, the same stirred vessel is required to perform various duties. It is important to ensure efficient and optimum operation of the stirred vessel for a given duty. It also is necessary to create process conditions that are optimum at the lab scale, pilot scale and production scale so productivity is maximized.
A stirred vessel incorporates little or no instrumentation. The degree of mixing effectiveness is determined by product quality. To compensate for poor mixing, the mixing equipment often is over designed; however, such an over-design can be counter-productive. Excessive mixing can damage biological material and lead to high capital and operating costs.
The requirements for liquid,"liquid mixing are very different from those of liquid,"solid mixing or liquid,"gas mixing. Scale-up or scale-down of mixing processes is not easy. Scale-up of lab processes to pilot and production scale is difficult.
Scale-up problems are made worse when existing pilot and production mixers are used for new processes. Scale-up or scale-down often is carried out using trial-and-error methods based on prior experience and equipment vendor suggestions.
Time and effort spent on process scale-up/scale-down can be significant. Predictive tools to analyze existing equipment and techniques to scale a process from lab to pilot ," and ultimately to production ," are required.
This article describes analysis methods that can be used to design and analyze liquid,"liquid mixing equipment and to address scale-up/scale-down issues.


Analysis techniques
For the purposes of this article, a mixing process for liquid,"liquid blending first was designed at the pilot scale. This process then was scaled to full production scale. A solution strategy consisting of three tiers then was adopted.
The tier one analysis was based on general guidelines and dimensional analysis for mixing equipment. Sizing and specification of equipment were carried out using this approach. General guidelines for mixing vessels were adopted to estimate tank size, baffle size, impeller type and size.
For liquid,"liquid mixing, a number of impellers ," including turbine, pitched blade, marine-propeller type or Lightnin A310 ," can be used. The overall stirred vessel configuration parameters at the pilot scale are outlined in Table 1.
The tier two analysis involved the application of empirical data, along with solutions of mass and momentum, on a global scale. In this approach, fundamental equations of fluid dynamics were simplified based on experimental results and solved for rapid analysis of stirred vessels. These tools are valuable when identifying good and bad blending practices and estimating average mixing characteristics.
For the given stirred vessel configuration, tier two methods were applied to estimate important mixing parameters such as tangential velocity distribution, power, axial velocity distribution, mixing time, minimum impeller revolutions per minute (rpm) for solid suspension, overall dissipation rate and turbulence. These parameters were computed at the lab scale, pilot scale or production scale for process scale-up or scale-down. The impact of configuration changes on stirred vessel performance then could be rapidly estimated.
This technique was applied to assess impeller performance and identify proper placement location of impellers in the vessel. Table 2 depicts the performance of stirred vessel for pitched-blade, Rushton-turbine and A310 impellers. The tank and baffle dimensions, impeller sizes and placement locations are the same for all impeller types.
The pitched-blade impeller provided the highest circulation flow rate, but also consumed the most power. The Rushton-turbine impeller provided a low mixing time and a low mean period of circulation for moderately-low power consumption. The A310 impeller provides low flow circulation at low power consumption.
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