Agitation 191 3.1 Fluidfoil Impellers The introduction of fluidfoil impellers, as shown in Fig. 9a through 9f, give a wide variety of mixing conditions suitable for high flow and low fluid shear rates. Fluidfoil impellers use the principles developed in airfoil work in wind tunnels for aircraft. Figure 10a shows what is desirable, which is no form separation of the fluid, and maximum lift and drag coefficients, which is what one is trying to achieve with the fluidfoil impellers. Figure 10b show what happens when the angle and the shape is such that there is a separation of the fluid from the airfoil body The A310 impeller( Fig. 9a)was introduced for primarily low viscosity fluids and, as can be seen, has a very low ratio of total blade surface area compared to an inscribing circle which is shown in Fig. 11. When the fluid viscosities are higher, the a3 12 impeller is used (shown in Fig. 9b)which is particularly useful in fibrous material To give a more responsive action in higher viscosities, the A320 is available which works well in the transition area of Reynolds numbers. when gas-liquid processes are used, the A315 (Figure 9d) has a still higher solidity ratio. It is particularly useful in aerobic fermentation processes. Impellers in Figs. 9(a-d)are formed from flat metal stock To complete the current picture, when composite materials are used, the airfoil can be shaped in any way that is desirable. The A6000 Fig. 9e) illustrates that particular impeller type. The use of proplets on the end of the blades increases flow about 10% over not having them. An impeller which is able to operate effectively in both the turbulent and transitional reynolds numbers is the A410(Fig. 9f)which has a very marked increase in twist angle of the blade. This gives it a more effective performance in the higher viscosity fluids encountered in mixers up to about 3 kw One characteristic of these fluidfoil impellers is that they discharge a stream that is almost completely axial flow and they have a very uniform velocity across the discharge plane of the impeller. However, there is a tendency for these impellers to short-circuit the fluid to a relatively low distance above the impeller. Very careful consideration of the coverage over the impeller is important. If the impeller can be placed one to two impeller diameters off bottom, which means that mixing is not provided at low levels during draw off, these impellers offer an excellent flow pattern as well as considerable economies in shaft design To look at these impellers in a different way, three impellers have been compared at equal total-pumping capacity. Figure 12 gives the output elocity as a function of time on a strip chart. As can be seen in Fig. 12 the fluidfoil impeller type(A310) has a very low velocity fluctuation and uses
Agitation I91 3.1 Fluidfoil Impellers The introduction of fluidfoil impellers, as shown in Fig. 9a through 9f, give a wide variety of mixing conditions suitable for high flow and low fluid shear rates. Fluidfoil impellers use the principles developed in airfoil work in wind tunnels for aircraft. Figure 10a shows what is desirable, which is no form separation of the fluid, and maximum lift and drag coefficients, which is what one is trying to achieve with the fluidfoil impellers. Figure 10b shows what happens when the angle and the shape is such that there is a separation ofthe fluid from the airfoil body. The A3 10 impeller (Fig. Sa) was introduced for primarily low viscosity fluids and, as can be seen, has a very low ratio of total blade surface area compared to an inscribing circle which is shown in Fig. 11. When the fluid viscosities are higher, the A3 12 impeller is used (shown in Fig. 9b) which is particularly useful in fibrous materials. To give a more responsive action in higher viscosities, the A320 is available which works well in the transition area of Reynolds numbers. When gas-liquid processes are used, the A3 15 (Figure 9d) has a still higher solidity ratio. It is particularly useful in aerobic fermentation processes. Impellers in Figs. 9(a-d) are formed from flat metal stock. To complete the current picture, when composite materials are used, the airfoil can be shaped in any way that is desirable. The A6000 (Fig. 9e) illustrates that particular impeller type. The use of proplets on the end of the blades increases flow about 10% over not having them. An impeller which is able to operate effectively in both the turbulent and transitional Reynolds numbers is the A4 10 (Fig. 90 which has a very marked increase in twist angle ofthe blade. This gives it a more effective performance in the higher viscosity fluids encountered in mixers up to about 3 kW. One characteristic of these fluidfoil impellers is that they discharge a stream that is almost completely axial flow and they have a very uniform velocity across the discharge plane of the impeller. However, there is a tendency for these impellers to short-circuit the fluid to a relatively low distance above the impeller. Very careful consideration of the coverage over the impeller is important. If the impeller can be placed one to two impeller diameters off bottom, which means that mixing is not provided at low levels during draw off, these impellers offer an excellent flow pattern as well as considerable economies in shaft design. To look at these impellers in a different way, three impellers have been compared at equal total-pumping capacity. Figure 12 gives the output velocity as a function of time on a strip chart. As can be seen in Fig. 12 the fluidfoil impeller type (A3 10) has a very low velocity fluctuation and uses
192 Fermentation and Biochemical Engineering Handbook much less power than the other two impellers. For the same flow, the A200 impeller has a higher turbulent fluctuation value. The rio impeller has still higher power consumption at the same diameter than the other two impellers, and has a much more intense level of microscale turbulence The fluidfoil impellers are often called"high efficiency impellers",but that is true only in terms of flow, and makes the assumption that flow is the nain measure of mixing results. Flow is one measure, and in at least half of the mixing applications is a good measure of the performance that could be expectedin aprocess. These impellers are low inefficiency in providing shear rates--either of the macro scale or the micro scale The use of computer generated solutions to problems and computa tional fluid dynamics is also another approach of comparing impellers and process results. There are software packages available. It is very helpful to have data obtained from a laser velocity meter on the fluid mechanics of the impeller flow and other characteristics to put in the boundary conditions for these computer programs Figure 9a. A310 fluidfoil impeller
192 Fermentation and Biochemical Engineering Handbook much less power than the other two impellers. For the same flow, the A200 impeller has a higher turbulent fluctuation value. The Rl 00 impeller has still higher power consumption at the same diameter than the other two impellers, and has a much more intense level of microscale turbulence. The fluidfoil impellers are often called "high efficiency impellers", but that is true only in terms offlow, and makes the assumption that flow is the main measure of mixing results. Flow is one measure, and in at least half of the mixing applications is a good measure of the performance that could be expected in a process. These impellers are low in efficiency in providing shear rates-either of the macro scale or the micro scale. The use of computer generated solutions to problems and computational fluid dynamics is also another approach of comparing impellers and process results. There are software packages available. It is very helpful to have data obtained from a laser velocity meter on the fluid mechanics of the impeller flow and other characteristics to put in the boundary conditions for these computer programs. Figure 9a. A310 fluidfoil impeller
Agitation 193 Figure 9b. A312 Fluidfoil impeller Figure 9c. A320 fluidfoil impeller
Agitation 193 Figure 9b. A312 Fluidfoil impeller. Figure 9c. A320 fluidfoil impeller
194 Fermentation and Biochemical Engineering Handbook Figure 9d. A315 fluidfoil impeller Figure 9e. A6000 nluidfoil impeller made of composite materials
194 Fermentation and Biochemical Engineering Handbook Figure 9d. A315 fluidfoil impeller Figure ge. A6000 fluidfoil impeller made of composite materials
Figure 9f. A410 fluidfoil impeller made from composite materials with high twist angle ratio between tip and hub Figure 10a. Typical flow around airfoil positioned for maximum lift minimum
Agitation 195 Figure 9(. A410 fluidfoil impeller made from composite materials with high twist angle ratio between tip and hub. Figure lOa. Typical flow around airfoil positioned for maximwn lift; minimwn drag
196 Fermentation and Biochemical Engineering Handbook Figure 10b. Typical profile of airfoil at an angle of attack that gives fluids separation from the airfoil surface A310 22% 09A312 35% 88 315 7% Figure 11. Solidity ratio defined as a ratio of blade area to circle area. The solidity ratio for four different fluidfoil impellers is shown
196 Fermentation and Biochemical Engineering Handbook Figure lOb. Typical profile of airfoil at an angle of attack that gives fluids separation from the airfoil surface. Figure 11. Solidity ratio defmed as a ratio of blade area to circle area. The solidity ratio for four different fluidfoil impellers is shown
Agitation 197 OUTLET VELOCITY VS TIME A200 R100 VR 3 Figure 12. velocity trace with time for three different 310 nluidfoil. A200 axial flow turbine and r100 radial flow turbine, th discharge pumping capacity, equal diameter and at whatever speed is required to achieve this flow. The power required increases from left to right As an example of other types of programs that can be worked on, Fig 13 shows a velocity profile from an A410 impeller, Fig. 14, a map of the kinetic energy dissipation in the fluid stream and in the third one(Fig. 15) model of heavier than the liquid particles in a random tracking pattern Additional models can be made up using mass transfer, heat transfer and some reaction kinetics to simulate a process that can be defined in one or more of those types of relationshi The laser velocity meter has made it possible to obtain much data from experiments conducted in transparent fluids. Figure 16 shows a typical output of such a measurement, giving lines that are proportioned to the fluid at that point and also relate to that angle ofdischarge. Studies on the blending and process performance of these various fluidfoil impellers will be covered in later sections of this chapter
Agitation I9 7 4- 3- OUTLET VELOCITY vs TIME 1 4. 4 l3 I 3’ S Figure 12. Velocity trace with time for three different impeller types, A3 10 fluidfoil, A200 axial flow turbine and RlOO radial flow turbine. The impellers are compared at equal discharge pumping capacity, equal diameter and at whatever speed is required to achieve this flow. The power required increases from left to right. As an example of other types of programs that can be worked on, Fig. 13 shows a velocity profile from an A410 impeller, Fig. 14, a map of the kinetic energy dissipation in the fluid stream and in the third one (Fig. 15) model of heavier than the liquid particles in a random tracking pattern. Additional models can be made up using mass transfer, heat transfer and some reaction kinetics to simulate aprocess that can be defined in one or more of those types of relationships. The laser velocity meter has made it possible to obtain much data from experiments conducted in transparent fluids. Figure 16 shows a typical output of such a measurement, giving lines that are proportioned to the fluid at that point and also relate to that angle of discharge. Studies on the blending and process performance of these various fluidfoil impellers will be covered in later sections of this chapter
EEEE 3.4TE 2.77Et =8Sssssssss 310 406 mm D LIGHTNIN 9/24/92 Velocity v s ( Meters/Sec 9.594E+00Lmin=0.000E+ Fluent Ioc Figure 13. Typical trace of velocity from a fluidfoil A410 impeller
198 Fermentation and Biochemical Engineering Handbook LiJ + 0 0 I I--0' z-0 HO zo mo H urn \ II v L 0 LO (00 E EO+ u+ JJW co mo, o>m
2.301 2、00E+01 9.9E+00 6.65+00 131E-14 A310 D GHTNIN 09/24/92 Lmox=2.495E+01Lmin=0.000E+00 Figure 14. A typical map of the kinetic energy dissipation in the fluid stream in a mixing vessel
Agitation I99 . 0 0 -4. ow z oo I co z\o HCnO a0 H um \ $1 -Io- 0 c mc I1
A310 D IGHTNIN 09/24/92 /Droplet Trojector Fluent.11 Max=1.000E-01Mn=1.000E-01 Fluent Inc Figure 15. A model of a particle tracking pattern when the particle is heavier than the liquid in the tank
200 Fermentation and Biochemical Engineering Handbook
