For the conditions of Prob. 9.8, estimate the power required for complete suspension of the catalyst.

Prob. 9.8

A six-blade disk turbine (D_a = 3 ft) is used to disperse hydrogen gas into a slurry reactor containing methyl linoleate at 90°C and 60 lb_ƒ/in.² gauge with 1 percent suspended catalyst particles (D̅_t = 50 μm. ρ_p = 4 g/cm³). The reactor diameter is 9 ft and the depth is 12 ft. The gas flow rate is 1,800 std ft³/min. The oil viscosity is 1.6 cP, and the density is 0.84 g/cm³ at 90°C. The reactor is fully baffled.

(a) What agitator speed is needed to give 5 hp/1.000 gal during the reaction?

(b) What is the power consumption with gas flow on and with gas flow off?