s: Stokes 0: total quantity 1,2: quantity evaluated at the same velocity Literature 1) Bird, R. B., et al.: "Transport Phenomena", p.62(1960),j ohn Wi

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s: Stokes 0: total quantity 1,2: quantity evaluated at the same velocity Literature 1) Bird, R. B., et al.: "Transport Phenomena", p.62(1960),j ohn Wiley & Sons, Inc. 2) Chujo, K.: Dainippon Yogyokyokwai Zasshi (J. Japanese Ceramic Assn.), 47, 248 (1939) cited 3) Karnis, A., et al.: Can. J. Chem. Eng., 44, 181(1966) 4) Muller, W.: Z. angew. Math. Mech., 16, 227 (1936) 5) Szymanski, P.: J. Math. Pures appl., Series 9, 11, 67 (1932) Fig. 1 Cylindrical mixing vessel *<Mixing Properties of Stirred Vessel> Received on January 23, 1968 **Takeichiro Takamatsu (Dept. of Sanit. Eng., Kyoto Univ., Kyoto, Japan) ***Tatsuro Sawada (Dept. of Chem. Eng., Kanazawa Univ., Kanazawa. Japan) 2-Flat-blade paddle 6-Flat-blade Paddle Fig. 2 Impellers 6-Flat-blade turbine

Cd S cell-(a) Cd S cell-(b) Fig. 3 Colorimeter of CdS cell

Fig. 4 Relationship between and NRe Fig. 5 Flow pattern in stirred vessel Fig. 6 Schematic diagram of flow pattern Fig. 7 Frequency distribution of circulation time TA-A

Fig. 8 Photograph of impulse response for NRe=50

Fig. 9 Relationship between Nq, Nr and NRe Fig. 10 Frequency distribution of residence time Tb

Fig. 11 Relationship between NTM and NRe. Fig. 12 Relationship between Nr,./NT, and NRe Nomenclature C: concentration [g/cma] C(s): transfer function of concentration [g Esec/cm3] C : concentration of infinite time [g/cm3] D: tank diameter [cm]

d: impeller diameter [cm] MrA-A: frequency distribution of circulation time TA-A MTa: frequency distribution of residence time Tb Nq: circulation flow rate number (=q/nd3) NRe: Reynolds number [-] Nr: interchange rate number (=r/nd3) NTm: mixing time number (=n T M) [-] NTp: circulation time number (=ntp) [-] n: rotational speed [sec-1] q: circulation rate [cm3/sec] Rb: backmix (or perfect) flow region [-] Rc: compound vortex region [-] Rd: dead space region [-] Rp: piston flow region [-] r: interchange rate [cm3/sec] T: time [sec] TA-A: circulation time from section A to A [sec] Tb: residence time in backmix region (=Vs/r) [sec] TM: mixing time [sec] Tp: circulation time- [sec] V: total volume [cm3] Vb: volume of backmix flow region without baffle Vb': volume of backmix flow region with baffles [cm3] [cm3] Ve: volume of compound vortex region [cm3] Vd: volume of dead space region [cm3] Veff: effective volume (=Vp+Vb) [cm3] Vp: volume of piston flow region [cm3] X:= C/ C ~100 Y: chart scale [-] =Vb/V [-] b':=vbs/v ĵ [-] e:=vc/ V ĵ [-] :=Vd/ V [-] ĵd p:=vp/v ĵ [-] ĵb: Literature 1) Aiba, S.: Kagaku Kagaku (Chem. Eng-, Japan), 20. 280, 288, 593 (1956) 2) Aiba, S.: Kagaku Kdgaket (Chem. Eng., Japan), 21, 130, 139 (1957) 3) Holmes, D., Voncken. R. and Dakker, J.: Chem. Eng. Sci, 18, 201 (1964) 4) Inoue, I. and Sato, K.: Kagaku Kagaku (Chem. Eng., Japan), 28. 518 (1965) ) Inoue, I. and Sato, 5 K.: Kagaku Kdgaku(Chens. Eng., Japan) 38. 922 (1965) 6) Kamiwano, M., Yamamoto, K. and Nagata, S.: Kagaku Kagaku (C7tem. Eng., Japan), 31, 365 (1967) 7) Kramera, H., Boars. G. and Knoll, W.: Chem. Eng. Sci., 2, 35 (1935) ) Levenspiel, 8 O.: Can. Jour. Chem. Eng., August, 135 (1962) 9) Nagata, S. and Yamamoto, K.: Kagaku Kagaku (Chem. Eng., Japan), 23. 133 (1959) cited 10) Nagata, S. and Yamamoto, K.:" Kagaku Kagaku (Chem. Eng., Japan), 23, 595 (1959) 11) Norwood, K. and Metzner, A.: A. I. Ch. E. Journal, 6, 432 (1960) 12) Porcelli, J. and Marr, G.: I. E. C. Fundamentals, 1, 172 (1962) 13) Sato, T. and Taniyama, I.: Kagaku Kagaku (Chem. Eng., Japan), 29, 153 (1965) 14) Takamatsu, T. and Sawada, T.: Kagaku Kagaku (Chem. Eng., Japan), 30, 1025 (1966) 15) Takeda, K. and Hoehino, T.: Kagaku Kagaku (Chem. Eng., Japan), 29, 509 (1965) 16) Taniyama, I. and Sato, T.: Kagaku Kagaku (Chem. Eng, Japan), 29, 29. 38 (1965) 17) Yamamoto, K. and Nagata, S.: Kagaku Kagaku (Chem. Eng., Japan), 21. 500 (1962) 18) Van de Vusse: Chum. Eng. Sci., 17, 507 (1962)

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