Determine the maximum flow rate for the clarification of a suspension of lysed Escherichia coli cells by a plant scale disk centrifuge based on laboratory data.

The plant centrifuge has a bowl diameter of 25.4cm and capabilities shown in Table 5.5.

For this centrifuge, you also know that  = 42^o, R₁ = 8cm, R_o = 20cm, and number of disks = 100 (see Figure 5.5).

In a laboratory centrifuge, you determined that it took a minimum of 17 min to clarify the cell lysate at 12,000 rpm.

The top of the culture being centrifuged was 32 mm from the center of rotation, and the top of the packed solids was 79 mm from the center of rataion after 17 min.

  

 

 

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TABLE 5.5 Capabilities of Tubular and Disk Centrifuges Bowl diameter (mm) Speed (rpm) Maximum dimensionless acceleration (G), w?R/g Throughput (liters/min) Type Tubular bowl 44 50,000 15,000 15,000 61,400 13,200 16,000 0.2-1.0 0.4-38 0.8-75 105 127 Disk with nozzle 254 10,000 6,250 4,200 3,300 14,200 8,850 6,760 o4,630 40-150 100-570 150-1500 150-1500 discharge 406 686 762 a See reference 12. TABLE 5.5 Capabilities of Tubular and Disk Centrifuges Bowl diameter (mm) Speed (rpm) Maximum dimensionless acceleration (G), w?R/g Throughput (liters/min) Type Tubular bowl 44 50,000 15,000 15,000 61,400 13,200 16,000 0.2-1.0 0.4-38 0.8-75 105 127 Disk with nozzle 254 10,000 6,250 4,200 3,300 14,200 8,850 6,760 o4,630 40-150 100-570 150-1500 150-1500 discharge 406 686 762 a See reference 12.