FORTY-FIFTH CONFERENCE VISCOSITY INCREASES IN CONCENTRATED SUGAR SOLUTIONS AND MOLASSES DUE TO DEXTRANS BY G . L. GERONIMOS and P. F. GREENFIELD Department of Chenzical Engineering, Universitj, of Qz~eensland Summary The effect of the polymer dextran on the viscosity of sugar and molasses solutions has been measured and expressions developed to predict the resulting increase in viscosity. A number of concentrations of sugar and dextran, dextran molecular weights, temperatures and different molasses were tested. It was found that the relative effect of dextran on viscosity for all cases could be explained by either of two equations. Introduction The presence of dextrans (glucans with a majority of a-(1-+6)-D-glucosidic linkages) in cane juice has been shown to affect adversely raw sugar processing and quality. The polymer is produced during the growth of micro-organisms of which the species Leuconostoc nzesenteroides is most commonly found in cane samples. Dextrans cause processing problems because of their effect on the viscosity of molasses and massecuites and sometimes filterability, and quality problems because of their effect on crystal shape. The effects are widely recognised and with appropriate sampling of the raw juice, dextran levels can be ascertained early in the processing stage. In recent years, Fulcher and Inkerman (1976) and Inkerman and Riddell (1977) have shown that dextran may be removed by using the enzyme, dextranase. It is difficult to determine just what effect the dextran will have on further processing because of a lack of quantitative information relating levels of dextran to the viscosity of sugar solutions, molasses and massecuites. Ruiz et al. (1975) have determined the viscosity of 60' brix sugar solutions for a limited number of dextran concentrations. They found a relationship of the following form fitted the data well: p = ke0.26c (1) where p = viscosity, Pa s c = dextran concentration, gldecilitre No information is provided concerning the average molecular weight of the dextran. Atherton (1959) also found an exponential relationship between solution viscosity and impurity concentration, although no specific reference was made to dextran. Day (1971) related the viscosity of sugar solutions linearly with dextran concentration over a very limited range of concentrations. The viscosities of sugar solutions, molasses and massecuites have been the subject of considerable research. Whde sugar solutions arc newtonian, molasses and massecuites have been found to exhibit newtonian, psoudoplastic~thixotropic, or Bingham plastic behaviour. Smolnik and Delavier (1973) determined that cane sugar molasses was non-newtonian in nature but that? when the soluble colloids were removed, the samples reverted to newtonian behaviour. Bhattacharya et al. (1972) reported increasing pseudoplasticity with increasing degradation. It appears that dextrans and other polymeric compounds are the main causes of non-newtonian behaviour in molasses, while in massecuites the problem is complicated by the presence of sugar crystals (Awang and White, 1976). In this paper, a relationship is reported which predicts the effect of dextran on thc viscosity of molasses and of sugar solutions. 120 FORTY-FIFTH CONFERENCE lg8 Equipment The instrument used to measure viscosity was a Contraves Rheomat 15 viscometer. The viscometer operates by shearing a .fluid between two concentric cylinders, the inner one of which is rotating. A selection of bobs and cups is available to extend the range of the instrument. The gap between the cup and bob is small so that a uniform shear field is approximated, and the bobs are designed to minimise end effects. The torque developed by viscous drag on the inner cylinder for varying cylinder speeds is read from a calibrated gauge (Middleman, 1968). Materials CSR refined sucrose was used to make up the sugar solutions. Molasses samples were obtained from Qunaba and Racecourse mills in central and north Queensland. They were tested to ensure that measurable traces of dextran were not present. Pharmacia dextrans of weight average molecular weights ranging from 104to 2 X 106 were used; these fractions were of relatively narrow distribution. For high molecular weight fractions, a Sigma product (Cat No. D5884) with a weight average molecular weight of approximately 2 X 107(viscosity determination) was employed. Procedure The moisture content of the different dextrans was determined by drying to constant weight. This was of the order of 84%. Sucrose solutions of different concentrations were made up and the various dextrans dissolved (by immersing in a hot water bath) to yield the required dextran concentrations on a weightivolume basis. Concentrations of sucrose varied from 100g,'100g water to 350g/100g water covering both the undersaturated and supersaturated regions. Dextran concentrations varied from 0 ppm to 105 ppm (solution basis). Although some previous workers have expressed dextran concentration in terms of "ppm on brix" it is the absolute concentration which is of interest from a rheological viewpoint. Care was taken to ensure that the dextran dissolved completely. The sucrose-dextran solution was then poured into the appropriate viscometer cup and allowed to equilibrate to the water bath temperature. Temperatures ranged from 30'C to 65'C. Series of shear stress-shear rate data were then obtained. On most occasions two bob-cup combinations were used to provide data over a wide range of shear rates. The data were then fitted with a power law expression and values obtained for the power law index, n, and for the apparent viscosities at the different shear rates. For molasses a similar procedure was followed except that an amount of water was evaporated under vacuum and the dextran added to the molasses in the form of a solution to give the appropriate concentration. This was necessary because of the difficulty in dissolving the higher molecular weight dextrans in the molasses. In total, 210 different solution-temperature combinations of sucrose were tested along with 62 molasses-temperature combinations excluding replicates. The apparent viscosity at 100 sec-' was used for comparative purposes; a relative viscosity was obtained by reference to the viscosity of a solution of the same total solids but zero dextran. In this way comparison with the equivalent sucrose solution may be made and viscosity effects attributed solely to the polymer. Effect of Dextrans on Flow Behaviour The addition of dextrans to sucrose solutions caused mlld pseudoplastic behaviour to be exhibited, whereas zero levels of dextran gave rise to the expected newtonian behaviour. A power law expression fitted the data satisfactorily-for all polymers of welght average molecular welght less than 2 X 106 the exponent, n, lay between 0.95 and 1.0. A marked lncrease m pseudoplastic behaviour was observed for dextran of molecular weight 2 X 10' with values of n being in the range 0.67 to 1.0. There was a concentration dependence of the degree of pseudoplasticity with n tending to decrease at the higher levels of dextran, t h ~ sphenomenon was temperature Independent over the range 30 C to 60 C. The non-newtonian effect was more noticeable when dextran wds added to molasses with the power law ~ndexbeing apprec~ablyless t h m 1 even for the lower molecular weight dextrans. It is not clear why 1978 FORTY-FIFTH CONFERENCE 121 the dextrans affect the molasses flow behaviour more significantly than that of sucrose solutions. It is possible that the wider variety of species present in the molasses may cause polymer association, or more likely. there is interaction between the dextran molecules and other polymer species present. Certainly, the data suggests as did that of Smolnik and Delavier (1973) that one of the principal causes of non-newtonian behaviour in molasses is the presence of high molecular weight polymers. Effect of Dextrans on Apparent Viscosity Greenfield and Geronimos (1977) have shown that the theory of dilute polymer solutions may be applied to the prediction of viscosity increases due to dextrans in concentrated sugar solutions and molasses. The theory suggests that both the concentration and the average molecular weight must be taken into account if the prediction is to be reliable. On the basis of this work the.data were fitted by least squares regression to a power law expression and a modified exponential expression. where of dextran containing solution viscosity of solution of same total solids but zero dextran y = weight average degree polymerisation = (mol. wt. of dextran)/l62 c = concentration of dextran (gidecilitre) k,, k,, k3, k;, k;, k; = parameters to be fitted by least squares regression. Estimates of the parameters and a measure of their reliability are shown in Table I, while Figs. 1 and 2 show the fit for each of the predicted equations. It should be noted that the equations were fitted to both sucrose-and molasses data simultaneously. The data shown in these two figures represent the average values of viscosity for both molasses and sucrose solutions measured at a variety of conditions. It is apparent that the generalised fit of the data by the above equations is very satisfactory considering the wide range of conditions that were used in the various experiments. To apply the above equations to cane dextrans an estimate must be made of the typical molecular weight of cane dextran. For the present, a value of 2 X 10' is assumed (this is discussed further in the next section). A reasonable estimate of the viscosity increase due to dextran is then given by: / l D E X = pTS[l 2.2c1.'] (4) or ,UDEX= /lTsexp[l. lc"Y] (5) /LDEX = viscosity ,UTS = + TABLE I-Prediction of equation parameters (eqns. 2 and 3) by least squares regression (note: concentration is expressed i n gldecilitre solution) ----M95% Confidence Limits Equation Parameter Parameter Value Lower Bound Upper Bound Multiple Correlation Coefficient FORTY-FIFTH CONFERENCE line ALL points represent average of a l l runs at: that particular dextran concentrotion 1C 1% Concentration of Dextran (wt/voL solution) Fig. l-Effect of Dextran Concentration on Viscosity of Sugar Solutions and Molasses (Equation 2 As an example, a concentration of dextran in solution of 1% wi'v would increast the viscosity to about 300% of the dextran free solution at the same total solid: concentration. This is of the same order as that predicted by Ruiz et al. (1975) anc referred to earlier. The main source of error is likely to be in the estimate of the weigh] average molecular weight of dexiran produced in the cane. A further source oj variation in the values of the parameters may be due to the different molecular weigh1 distributions found in cane dextrans. This would mean that while the forms of tht equations would be the same, individual mills would have to estimate their owr parameters. Evidence suggests that this problem is unlikely to be very seriour (Covacevich and Richards, 1974). Effect of Dextran Concentration and Molecular Weight Both the absolute dextran concentration and its average molecular weight affeci the increase in viscosity of a degraded cane sugar solution. While concentration i! readily measured in first expressed juice, an estimate of dextran molecular weight i: difficult to obtain. The molecular weight of dextran produced during cane degradatior is considered to be of relatively high order. Bovey (1 959) found values ranging from 51 X 106 to 120 X 106for the weight average molecular weight of dextrans, producec from cultures of L. mesenteroides. In studies of dextrans produced in sugar solution: with B-512 L. mesenteroides Jeanes et a1 (1954) measured values of M. around 50 X 106molecular association during the analytical procedure. Along with Tsuchiya (1955 FORTY-FIFTH CONFERENCE . Mw=2x107 rn=2x106 A Mw=5x105 Mw=6.9x104 , Least squares line 0 L1 points represent that particular dextran concentration 1% Concentration of Dextran ( w t / v o l solution) Fig. 2-Effect of Dextran Concentration on Viscosity of Sugar Solutions and Moiasses (Equation 3) they also showed that the molecular weight distributions of dextrans in degraded cane lvere either bimodal or trimodal. In conclusion, it can be said that there still remains zonsiderable uncertainty regarding an average molecular weight for cane dextran: a value of 20 X 106 appears a reasonable approximation. Effect of Sucrose Concentration Table I1 indicates that the concentration of low molecular weight components (in particular sucrosc) does not markedly affect the relative increase in v~scositydue to TABLE Il-Effect Dextran Molecular Weight MW of varying sucrose concentration on relative viscosity increase due to dextran Sucrose Concentration Brix Dextran Concentration gldecilitre Relative Increase in Solution Viscosity Temperature Measured Predicted (Eqn 2) FORTY-FIFTH CONFERENCE Leost Squares Line P % Fig. %-Effect .l% Concentration o f Dextran 1% fi 2 ~ 1 0 ~ ( w t / v osto h ) of Temperature on Relative Increase in Solution Viscosity Due to Dextran (Sucrosc Solution 66.7 Brix) dextran, although some of the charged components in molasses may exert associalivc effects. The range of sugar concentrations tested was quite wide and although tht number of molasses samples tested at this stage is relatively small, the agreement is verj good between the different samples. It is noticeable that the above equations suggest that lou7 molecular weigh compounds should have little effect on solution viscosity apart from their contributior to total solids. This agrees with the conclusions of Atherton (1959) and Awang anc White (1976). Effect of Other Polymers The possibility of dextran interaction with other polymeric species which are present in cane juice and molasses is stressed. Further work is anticipated on measuring the effect of dextran on sucrose viscosity in the presence of the various components thal make up molasses-in particular starch, gums, occulant and some salts. The effect of flocculant carryover from the clarifier is unknown at this stage but should it promote association of the dextran at a later processing stage, much larger viscosity increases than those reported in this paper are likely to be encountered. Effect of Temperature Over the experimental temperature range, the data suggest that the relatikr viscosity increase due to dextran is temperature independent, i.e. the effect ol temperature on dextran contaminated solutions is no different from that on dextrar free solutions. (Figs. 3 and 4). It has been shown previously that the absolute viscositj of sugar solutions is related to the absolute temperature by an equation of the form y = A.lOBjT (6, where A and B are constants. FORTY-FIFTH CONFERENCE - Fig. 4-Effect Least Squares Line of Temperature on Relatwe Increase In Molasses V ~ s c o s ~ Due t y t o Dextran referto = 2 x 1 0 6 , 0 , A , Mreferto ~ w = 2 x 1 0 7 ) (O,n, Dixon (1976) has shown that a similar type of relationship exists for dextran zontalning sucrose solutions. Because the relative viscosity increase is unaffected by Lemperature, only the change in the reference viscosity with temperature need be ;onsidered in predicting molasses or sucrose solution viscosities. Effect of Dextran Degradation Fulcher and Inkerman (1976) have shown that dextran can be degraded economically by the addition of the enzyme dextranase. The significance of the above results is that they suggest that there is an optimum processing strategy for such removal, which is dependent on the degradation kinetics. Since degradation does not improve sucrose concentration in any absolute fashion but improves processing performance and final yield, there is little reason to degrade the polymer beyond the point where such improvements become marginal. This can be illustrated by an example. A reduction in M,from 50 X 106to 1 X 106 at the same weight concentration (20 000 ppm) produces a much greater change in absolute viscosity than does a further 50 fold reduction to a M, of 20 000. This is slightly simplistic since it does not take into account the degradation kinetics and the possibility of an absolute reduction in weight concentration of dextran, but it does suggest that the initial reaction is likely to be of most significance in its effect on 126 FORTY-FIFTH CONFERENCE 'i978 solution viscosity. Hence, care should be taken to minimise the dextranase input for a given incubation time. Inkerman and Riddell (1977) s h o w d this same result with actual dextranase studies. Conclusions The effect of the polymer dextran on the viscosi:y of sugar and molasses solutions has been measured and an expression developed to predict the fractional increase in viscosity over a solution of equivalent total solids but zero dextran levels. This viscosity increase can be represented approximately for a typical case of degraded cane molasses by either of the following equations p ~ ~ ~ = / l T s [ 2l . 2 ~ ~ ~ 1 or D E x = /(TS exp[l. lcO9] In this expression, a value of 20 X 10Vor the weight average molecular weight of the dextran is assumed. It is recommended that work be carried out to speclfy more exactly this property of cane dextran. + Acknowledgements The financial assistance of the Bureau of Sugar Experiment Stations and the Sugar Research Institute is appreciated. REFERENCES Atherton, P. (1959). Proc. Qd. Soc. Sugar Cane Technoi. 26, 45. Awang, M. and White, E. T. (1976). Proc. Qd. SOC.Sugar Cane Technol. 43,263. Bhattacharya, S., Boger, D., Halmos, A., and Tiu, C. (1972). Proc. Qd. Soc Sugar Cane Technol. 39,209. Bovey, F. A. (1959), J. Polymer Sci., 35, 167. Covacevich, R1. T. and Richards, G . N. (1974), Proc. Qd. Soc. Sugar Cane Technol. 41, 171. Covacevich, M. T. and Richards, G . N. (1977). Int. Sugar. 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