,,,. , BM B 005 ( ] , SJM - IM L - 90 ( V ellank [ 15 ]

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1 T ransactions of the CSA E V o l. 21 N o. 2 Feb ,,, (,,, ) : rgm in,,,, A rrhenius,, : ; ; ; : Q 81 : A : (2005) ,,,. [J ]., 2005, 21 (2): L iu H ualiang, Chen Shouw en, Sun M ing, et al. M odel fo r p redicting apparen t visco sity of the m icrofiltration concen trated bro th of B acillus thu ring iensis[j ]. T ransactions of the CSA E, 2005, 21 (2): (in Ch inese w ith English abstract) 0,,,, 1,, , : BM B 005 ( [ 1, ], ) ; [ 2 ] : 25 ggl, 35 ggl,,, 15 ggl,m gso ggl, KH 2PO 4 2 ggl, ph [ 2-5 ] [ 6 ] 8. 0 [ 7, 8 ] [ 9, 10 ] [ 11, 12 ] [ 13, 14 ] L - 90 ( ) ; V ellank [ 15 ], SJM - IM ), , ),, ), ggl, ( [ 16 ] ) ; 30, L rgm in, Χ s - 1 ) : : : (2001BA 708B07-02) : (1980- ),,, : (1966- ),,,,,, Em ail: chenshouw en@m ail. hzau. edu. cn, :, 750 rgm in (Χ= 3610 s - 1 ), (0. 1), m Pa s,,, 1. 3

2 N = g (1) : Γa = ΣgΧ (1) Γa, Pa g s; Σ, Pa; Χ, s Γa Χ, 1 30 : Γa = K Χ n- 1 (2) F ig. 1 R elationsh ip betw een the apparent visco sities K, Pag s n ; n, A rrhen iu s 1 [ 1, 2, 4, 9 ], : T able 1 R heo logical p roperty param eters of the bro th Γa = K 0exp (E agr T ) (3) and concentrated bro th w ith different concentrations E a, J g m o l - 1 ; K 0, Pag s; R, J g (m o lg K) - 1 ; T Kelvin, K [ 1, 4, 9, 11 ] : Γa = a (C ) b (4) Γa = 1 + a1c + b1c 2 (5) Γa = a 2exp (b2c ) (6) Γa = a3exp (b3c 2 ) (7) C, g g L - 1 ; a, Pa g sg (L g g - 1 ) b ; b, ; a 1, Pa g sg L g g - 1 ; b1, Pag sgl 2 g g - 2 ; a 2, Pag s; b2,l g g - 1 ; a 3, Pag s; b3, L 2 g g (n = ),,,, ; of concentrated bro th of B acillus thu ring iensis and shear rate at 30 of B acillus thu ring iensis C ggl K gm Pag s n n R (Χ= 3610 s - 1 ) F ig. 2 R elationsh ip betw een apparent visco sity,,, of concentrated bro th of B acillus,, thu ring iensis and temperature, (2), K 2,, n, 1, R ,,, n, K,, K,,,, [ 8 n ] A rrhen iu s 1,, R , 1 (n = ),, 1,, A rrhen iu s (84. 9 ggl - 1 ),,

3 2 : 27,, 2 3,, 70. 8%,, (15 50 ), [ 1 ] 2,, K 0, E a, :, (4) (7),, 2 3 3, (7) A rrhenius T able 2 Param eters of A rrhenius equation of bro th and concentrated bro th of B acillus thu ring iensis in differen t concen tration g L K 0gΛPag s E ag10 4 kj gmo l R , R , 0. 96,,,,, R ,, (6) R ,, ; (5) (6), R 2, , (4) 3 T able 2 R egressive results of the relationsh ip betw een apparent visco sity described by different models and the concentration of concentrated bro th of B acillus thu ring iensis g Γa = a (C) b Γa = 1 + a1c + b1c 2 Γa = a2exp (b2c ) Γa = a3exp (b3c 2 ) Γa = C Γa = C C 2 Γa = exp ( C ) Γa = exp ( C 2 ) R 2 = R 2 = R 2 = R 2 = Γa = C Γa = C C 2 Γa = exp ( C ) Γa = exp ( C 2 ) R 2 = R 2 = R 2 = R 2 = Γa = C Γa = C C 2 Γa = exp ( C) Γa = exp ( C 2 ) R 2 = R 2 = R 2 = R 2 = Γa = C Γa = C C 2 Γa = exp ( C ) Γa = exp ( C 2 ) R 2 = R 2 = R 2 = R 2 = Γa = C Γa = C C 2 Γa = exp ( C ) Γa = exp ( C 2 ) R 2 = R 2 = R 2 = R 2 = Γa = C Γa = C C 2 Γa = exp ( C ) Γa = exp ( C 2 ) R 2 = R 2 = R 2 = R 2 = Γa = C Γa = C C 2 Γa = exp ( C ) Γa = exp ( C 2 ) R 2 = R 2 = R 2 = R 2 = Γa = C Γa = C C 2 Γa = exp ( C ) Γa = exp ( C 2 ) R 2 = R 2 = R 2 = R 2 = [ 1, 4 ], (3) (7), g L g L - 1 ),, ( 3),, : Γa = a 3exp (E agr T + b3c 2 ) (8) a3 = ΛPag s, E a = kj gmo l - 1, b3 = L 2 g g - 2, R 2 = ,, g L % 2. 5%, g L - 1 (8), 1. 3% 5. 6%,,

4 5%, [ 2 ],,. [J ]., 2001, 22 (7): [ 3 ],. [J ].,, 1995, 127(1): [ 4 ],,, , 2003, 19 (4): [9 ] V elez2r uiz J F, Barbo sa2canovas G V. R heo logical F ig. 3 D eterm ined and theo retical apparent visco sities p roperties of concen trated m ilk as a function of of concentrated bro th of B acillus thu ring iensis at different temperature concentration, temperature and sto rage tim e [J ]. of Food Engineering, 1998, 35: Journal [10 ] YanesM, D uran L, Co stell E. Effect of hydroco llo id H ydroco llo ids, 2002, 16: , [11 ] M ichele M, Ho shah ili A R T, R am asw am y H S., R heo logical p roperties of selected hydroco llo ids as a, n, function of concen tration and tem peratu re [ J ]. Food, K R esearch In ternational, 2001, 34: [12 ] Gom ez2d iaz D, N avaza J M. R heo logy of aqueous, so lu tion s of additives: effect of concen tration, A rrhen iu s, tem peratu re and b lending [ J ]. Jou rnal of Food Γa = Engineering, 2003, 56: a3exp (b3c 2 ) ; [ 13 ],. [J ] ggl - 1, 2003, 24 (12): , 15 [14 ] Goudar C, Strevett K A, Shah S N. Influence of 50, m icrob ial concen tration on the rheo logy of non2 : Γa = a3exp (E agr T + b3c 2 ), a 3 = ΛPa N ew tonian ferm entation bro th s [ J ]. A pp l M icrobio l g s, E a = kjgmo l - 1, b3 = L 2 g g - 2 B io techno l, 1999, 51: , [15 ] V ellank i P, Jayaram an G, M arison I W, et al. Calo rim etric op tim ization of grow th and spo ru lation of [ ] [1 ] Togrul H, A rslan N. M athem atical model fo r p rediction of apparent visco sity of mo lasses [ J ]. Engineering, 2004, 62: Journal of Food [J ]., 1996, 27 (4): [ 5 ],,,. [J ]., 1994, (5): [ 6 ],,. [J ]., 1994, 15 (4): [ 7 ],,,. [J ]., 2002, 18 (4): [ 8 ],. [J ]. type and concen tration on flow behaviou r and sen so ry p roperties of m ilk beverages m odels system s [J ]. Food B acillus thu ring iensis vaṙ g aooeriae [J ]. T herm och im ica A cta, 1998, 309: [16 ] K rusteva E D, Doneva T A, V assilieff C S. Peseudop lasticity of filter cakes exp lain s cro ss2flow m icrofiltration [J ]. Co llo ids and Surfaces A, 1999, 149: M odel for pred icting apparen t v iscosity of the m icrof iltration concen trated broth of B acillus thuring iensis L iu Hua lia ng, C he n S houw e n, S un M ing, Yu Z iniu (S tate K ey L aboratory of A g ricu ltu ral M icrobiology, N ational E ng ineering R esearch Center f or M icrobial P esticid es, Colleg e of L if e S cience and T echnology, H uaz hong A g ricu ltu ral U niversity, W uhan , Ch ina) Abstract: T he rheo logical behavio r of the B acillus thu ring iensis ferm en tation b ro th and its m icrofiltration

5 2 : 29 concen trated b ro th s w as studied at 30 and ro tational speed ranging from 75 to 750 rgm in. A s the resu lts confirm ed, they w ere p seudop lastic flu id, the apparen t visco sities decreased w ith the increase of shear rate and the p seudop lasticity increased w ith the increm en t of concen tration. A s to the concen trated b ro th s, the apparen t visco sities decreased w ith the increase of tem peratu re o r reduction of concen tration, and the effect of tem peratu re on their apparen t visco sities w as fu rther described by A rrhenu is m odel. T he activation energy (Ea) had no obviou s variation in differen t concen tration s and the effect of concen tration on apparen t visco sity w as m o re no ticeab le than that of tem peratu re. M o reover a m odel fo r describ ing the com b ined effects of tem peratu re and concen tration on the apparen t visco sity w as given, w h ich cou ld be u sed to p redict apparen t visco sity of the concen trated b ro th of B acillus thu ring iensis at differen t tem peratu res and concen tration s in the p rocess of m icrofiltration. Key words: B acillus thu ring iensis; m icrofiltration concen trated b ro th; rheo logical p roperty; apparen t visco sity