1-s2.0-s0260877403001390-main

Upload: fernandez-luis

Post on 05-Apr-2018

221 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/2/2019 1-s2.0-S0260877403001390-main

    1/6

    Effect of solids concentration on the rheology of labneh(concentrated yogurt) produced from sheep milk

    Hazim A. Mohameed a,*, Basim Abu-Jdayil a, Ali Al-Shawabkeh b

    a Department of Chemical Engineering, Jordan University of Science and Technology, P.O. Box 3030, 22110 Irbid, Jordanb Department of Chemical Engineering, University of Jordan, 11942 Amman, Jordan

    Received 7 November 2002; accepted 14 April 2003

    Abstract

    The effect of solids concentration on the apparent viscosity of labneh made from sheep milk has been investigated using a rotaryviscometer. Sheep labneh was manufactured following the traditional method by using cloth bags. Apparent viscosity of labneh with

    four different solids concentration was studied as a function of the shear rate. It is found that sheep labneh with different solids

    concentration exhibits shear thinning and thixotropic behavior. The power law model was found to fit the apparent viscosityshear

    rate experimental data, satisfactorily. Both the consistency coefficient and the flow behavior index were correlated as a function of

    solids concentration. The predicted apparent viscosity showed an absolute average error of less than 5%. Time-dependent viscosity

    measurements were performed at four different shear rates. Using the structural kinetic approach, a 1.5-order kinetic model was

    found best for correlating the experimental data. Completely destructed labneh, after 4-h preshearing, was also studied as function

    of shear rate. Comparison between labneh made from cow milk and sheep milk was performed, whenever data were available.

    2003 Elsevier Ltd. All rights reserved.

    1. Introduction

    The traditional fermented milk foods made from the

    milk of cows, sheep, and goats are still competitive with

    newer products. In the Middle East region, concentrated

    yogurt (labneh) is highly appreciated and consumed

    with bread all year a round. Labneh is an important

    supplement to the local diet and provides vital elements

    for growth and good health. According to Lebanese

    standards, labneh is defined as a semisolid food derived

    from yogurt by draining away part of its water and

    water-soluble compounds (Lebanese Standards, 1965).

    Usually, labneh is prepared with two solids concentra-

    tion ranges either around 22 wt.% or around 40 wt.%

    (labneh anbaris). The former is prepared to be con-sumed within two weeks and usually stored in refriger-

    ators; the other one is stored in vegetable oil at room

    temperature and can be consumed within two years

    (Keceli, Robinson, & Gordon, 1999).

    Usually, sheep are moved in bands or flocks in order

    to graze land from one area to another. Flocks are

    maintained for their valuable wool and meat. The

    availability of sheep milk is limited during late winter

    and early spring, when the breeding ewes are mated torams and produce lambs. Therefore, the peak production

    of sheep labneh is during the spring season and to a less

    extent in other seasons. Sheep milk is rich in nutrients,

    having about 19% solids concentration compared to cow

    milk with 1213% (Path, 1995). This high solids con-

    centration, coming from fat and protein content, is ex-

    cellent ingredients for manufactured dairy products like

    cheese and labneh. Nutrient composition of both sheep

    and cow milk are shown in Table 1 (Posati & Orr, 1976).

    Labneh made from sheep milk is still less popular and

    produced in much less amounts than cow labneh. The

    cow milk availability is not the only issue but also the

    sensorial acceptance of cow labneh is higher becausesheep labneh has a sharp flavor.

    Recently, and specially for Jordan many dairy fac-

    tories started to offer sheep labneh in the grocery stores

    for daily consumption. Due to the high fat content of

    sheep milk, the traditional methods used to make cheese

    and other yogurt products (like labneh) from cow milk

    may not be suitable for sheep milk (Ag-Ventures, 2000).

    Therefore, more studies related to labneh produced

    from sheep milk are needed. Investigation of the rhe-

    ological properties are one of the those important

    studies. Structure, firmness, and viscosity are important

    Journal of Food Engineering 61 (2004) 347352

    www.elsevier.com/locate/jfoodeng

    * Corresponding author. Tel.: +962-2-7201000; fax: +962-2-

    7095018.

    E-mail address: [email protected] (H.A. Mohameed).

    0260-8774/$ - see front matter 2003 Elsevier Ltd. All rights reserved.

    doi:10.1016/S0260-8774(03)00139-0

    http://mail%20to:%[email protected]/http://mail%20to:%[email protected]/
  • 8/2/2019 1-s2.0-S0260877403001390-main

    2/6

    quality properties of labneh. These properties are pri-mary criteria for their quality evaluation regarding

    labnehs sensorial acceptance.

    The present study aims to investigate the effect of the

    solids concentration of labneh made from sheep milk on

    its rheological properties. The labneh investigated in this

    study is made from fresh sheep milk and manufactured

    using the traditional home made method, where the

    whey is removed using cloth bags. Although, many re-

    searchers have investigated the rheological behavior of

    labneh produced from cow milk, the rheological prop-

    erties of sheep labneh have not received much attention.

    2. Materials and methods

    2.1. Labneh manufacture

    Labneh was made by the procedure normally used in

    homes. Fresh sheep milk, brought from a local dealer, is

    boiled for a few minutes to destroy vegetative bacterial

    cells and fungi (sterilization). The milk is cooled to

    about 45 C and inoculated with %2% starter cultureand stirred so that the starter is distributed through the

    milk mass. The starter culture is a commercial fermented

    product of the yogurt type. The inoculated milk is

    poured into 1-l plastic containers and its temperature is

    allowed to drop slowly to the ambient temperature for

    about 3 h. The plastic containers were incubated in a

    refrigerator at 5 C overnight. The coagulum in each

    plastic container is placed in a hanging cloth bag to

    drain the whey. The drainage was achieved at room

    temperature. To produce labneh with different solids

    content, the cloth bags were allowed to drain for dif-

    ferent time periods. The volume of the drained whey was

    an indication of the solid content. The accurate solid

    content of labneh was determined by the methods in

    AOAC (1995). The four solid concentrations investi-gated in this study are 17.9, 18.8, 20.9, and 24.2 wt.%.

    They are assigned the following symbols S1, S2, S3 and

    S4, respectively.

    2.2. Viscometer

    Rheological properties of sheeps labneh were moni-

    tored using a rotational viscometer (Haake VT500/

    MV3, Searle type) with a fixed outer cylinder and ro-

    tating measuring bob. The radius of the rotating cylin-

    der was 20.04 mm, the length of the cylinder and the gap

    width are 60 and 0.96 mm, respectively. Values of shearstress and viscosity were recorded after the shear stress

    signal attained a constant value for 30 s. The shear rate

    range was 2.2219.80 s1. The labneh samples were kept

    at room temperature to equilibrate before being loaded

    into the viscometer. Temperature of the samples was

    controlled by circulating water in the jacket of the bob

    cylinder arrangement. All the measurements in this

    study were performed at 25 C.

    To study the effect of solids concentration on the

    rheological properties of labneh made from sheep milk,

    three set of experiments were performed using the ro-

    tational viscometer: (i) The apparent viscosity of freshsamples as a function of shear rate. The measurements

    were carried out by increasing (forward) and by de-

    creasing (backward) the shear rate. (ii) Time-dependent

    viscosity measurements for each solids concentration at

    four different shear rates. The four shear rates applied in

    this study were 3.65, 10.21, 28.38, and 219.80 s1. (iii)

    The fresh samples were subjected to a shear rate of 79.02

    s1 for 4 h till the structure of labneh completely de-

    structed. Then the flow properties of the destructed

    labneh were measured.

    The time-dependent flow properties could be modeled

    by applying the structural kinetic approach, which is

    adopted by using the analogy with chemical reactions.

    The final form of the model is

    g geg0 ge

    1m m 1kt 1 1

    where g0 is the initial apparent viscosity at t 0(structured state), and ge is the final apparent viscosity

    as t! 1 (equilibrium structured state), k k _cc is thebreakdown rate constant and it is function of shear rate.

    The rate constant k is considered as an indication of the

    rate of the thixotropic breakdown. The exponent m is

    the order of the breakdown reaction. Details and

    assumptions of this equation are to be found in Abu-Jdayil (2002). In this work, the value of the initial

    viscosity, g0, is the first measured value after 30 s from

    starting the experiment.

    3. Results and discussion

    3.1. Apparent viscosity versus shear rate

    The effect of the solids concentration on the apparent

    viscosity of labneh is depicted in Fig. 1. The measure-

    Table 1

    Nutrient composition of whole milk per 100 g (Posati & Orr, 1976)

    Milk Energy (kcal) Fat (g) Cholesterol (mg) Protein (g) Calcium (mg) Phosphorus (mg) Carbohydrate (g)

    Cow 61 3.34 14 3.29 119 93 4.66

    Sheep 108 7.00 5.98 193 158 5.36

    348 H.A. Mohameed et al. / Journal of Food Engineering 61 (2004) 347352

  • 8/2/2019 1-s2.0-S0260877403001390-main

    3/6

    ment was carried out with both increasing the shear rate

    (forward measurement) and decreasing the shear rate

    (backward measurement, not shown). The apparent

    viscosity decreased as the shear rate increased, so labneh

    exhibited a shear thinning behavior. It can be seen that

    the change in the apparent viscosity was not linear withsolids concentration, where a 5% increase in the solids

    concentration led to duplicate in the apparent viscosity

    (from 26 to 60 Pa s at 2.2 s1). This is an indication that

    the control of the solids concentration is an important

    quality factor and it may affect the final acceptance of

    labneh by the consumer.

    The fall in viscosity with shear rate might be due to

    the destruction of the interactions within the labneh

    network structures. These interactions are electrostatic

    and hydrophobic ones, which are considered as weak

    physical bonds. The shear rate range applied in this

    study was enough to destroy these physical bonds.As shown experimentally by Ozer, Stenning, Grand-

    ison, and Robinson (1998), the preparation of labneh

    using a cloth bag had the highest protein and fat con-

    tent, since the cloth bags allow, mainly, the separation

    of lactose and minerals into the whey. Therefore the

    sample S4 with the highest solids concentration also had

    the highest protein content and consequently S4 had the

    highest apparent viscosity, as shown in Fig. 1.

    Fig. 2 demonstrates an example of the hysteresis of

    the rheological behavior of sheep labneh, in which the

    labneh was subjected to a cycle of increasing and de-

    creasing shear rate. This figure shows that sheep labneh

    is a shear thinning material, which exhibits a thixotropicbehavior. This non-Newtonian behavior for sheep lab-

    neh was also observed for labneh made from cow milk

    (Abu-Jdayil & Mohameed, 2002; Abu-Jdayil, Shaker, &

    Jumah, 2000). The thixotropic behavior was a charac-

    teristic of sheep labneh regardless of the solids concen-

    tration.

    The non-Newtonian viscosity of labneh was modeledusing the two-parameter power law model given by

    g m _cc n1 2

    where m is the consistency coefficient and n is the flow

    behavior index. Continuous lines on Fig. 1 represent the

    power law model. The regressed parameters, m and n,

    for both forward and backward measurements are listed

    in Table 2. The correlation factor was one for all the

    fittings.

    For the forward measurement, the flow behavior in-

    dex n decreases with the increase of solids concentration.This shows that the deviation from the non-Newtonian

    behavior (n 1) increases with increasing the solidsconcentration of labneh. It is interesting to note that the

    n values have the opposite trend in the backward mea-

    surement, where the n values were found to increase

    with increasing the solids concentration. Generally, n is

    not a strong function of the variation in solids concen-

    tration. The decrease of n for the forward curves is

    probably due to the thixotropic behavior; during the

    experiment, the time increases and then the viscosity

    deceases, so m decreases.

    It was also found that the value of m, a measure of

    viscosity, was highly dependent on the solids concen-tration of labneh for the forward measurement, and less

    Fig. 1. Effect of solids concentration on the apparent viscosity of fresh

    samples, forward measurement. Continuous line is power law fit.Fig. 2. Examples of hysteresis loops for sheep labneh at different solids

    concentration.

    Table 2

    Power law model parameters for fresh samples

    Sample Solids concentration

    (wt.%)

    m (Pasn) n

    Forward Backward Forward Backward

    S1 17.9 49.80 41.19 0.142 0.115

    S2 18.8 63.98 46.84 0.131 0.136

    S3 20.9 72.42 46.89 0.117 0.140

    S4 24.2 123.81 59.08 0.087 0.182

    H.A. Mohameed et al. / Journal of Food Engineering 61 (2004) 347352 349

  • 8/2/2019 1-s2.0-S0260877403001390-main

    4/6

    dependent for the backward measurement. For both

    measurements, m values increase as the solids concen-

    tration of labneh increases. A similar trend was observed

    for other foodstuff like tomato juice (Steffe, 1986),

    sweetened condensed milk (Hough, Moro, Segura, &

    Alvo, 1988) and soybean milk (Son & Singh, 1998).

    The consistency coefficient, m and the flow behavior

    index, n in Eq. (2) were correlated as a function of solids

    concentration as the following:

    m 1 103 a1S a2S2 3

    and

    n 1 b1S b2S2 4

    where S is the solids concentration expressed as mass

    fraction. The correlation parameters a1, a2, b1, and b2were found by least squares fit and their values are

    summarized in Table 3. The correlation factors were

    0.97 and 0.89 for Eqs. (3) and (4), respectively. The form

    of the equation for m and n is selected so that it satisfiesthe following physical conditions:

    i(i) As S! 0, n ! 1 (Newtonian fluid) and g is the vis-cosity of water (g m 0:001 Pa s).

    (ii) As S! 1, g ! 1 for the solid material.

    In order to check the fit goodness, the average ab-

    solute deviation (AAD) was used:

    AAD Xpi1

    gexp;i gcal;i

    gexp;i

    " #

    100

    p5

    where p is the number of experimental data. gexp is theexperimental apparent viscosity and gcal is the apparent

    viscosity calculated from Eq. (2) after inserting Eqs. (3)

    and (4). The AAD was found to be 4.7% for all the

    experiments. This shows that the least squares fit for

    Eqs. (3) and (4) was adequate to describe the apparent

    viscosity as function of shear rate and solids concen-

    tration.

    3.2. Transient flow properties

    Although, the results extracted from Fig. 2 were

    useful in the sense they demonstrated that sheep labnehhas a non-Newtonian, shear thinning, thixotropic be-

    havior, these results cannot be used for engineering de-

    sign and scale up of equipment and processes (Nguyen,

    Jensen, & Kristensen, 1998). Therefore, time-dependent

    rheological data should be attained and modeled.

    Typical experimental results for the time-dependent

    apparent viscosity were depicted in Figs. 3 and 4. The

    effect of the solids concentration on the transient ap-

    parent viscosity, at constant shear rate equal to 10.21 s1,

    is shown in Fig. 3. The apparent viscosity decreases

    rapidly within the first 10 min of shearing and then

    reaches a steady state value (equilibrium state) after 40

    min. Labneh with a solids concentration of 24.2 wt.%

    (S4) is considerably more viscous than S1, meanwhile,

    the two samples with close solids concentration of 18.8

    wt.% (S2) and 20.9 wt.% (S3) have a closer viscositytime

    curves. It is clear that, increasing the solids concentration

    leads to an increase in the extent of thixotropy. This re-

    sult can be quantified by modeling the experimental data.

    Small changes in labnehs solids concentration will affect

    highly its rheological properties.The effect of shear rate at constant solids concentra-

    tion (S1 sample as an example) is shown in Fig. 4. The

    apparent viscosity of labneh is decreasing as the applied

    shear rate increases. The rate and extent of viscosity

    reduction is a function of both the solids concentration

    and the shear rate.

    The transient viscosity data of labneh at constant

    shear rate were correlated using m 1:5 i.e. with 3/2-order irreversible kinetic model. A comparison between

    the experimental data and the model in Eq. (1) with

    m 1:5 is presented by the continuous lines in Figs. 3

    Table 3

    Correlation parameters for Eqs. (3) and (4) found by least squares fit

    for fresh samples

    Parameter Value

    a1 (Pasn) )350.57

    a2 (Pasn) 3517.40

    b1 )7.62

    b2 15.97

    Fig. 3. Time-dependent viscosity data at shear rate equal to 10.21 s1.

    Effect of solids concentration. Continuous line is the fit of the kinetic

    model (m 1:5).

    Fig. 4. Time-dependent viscosity data for sample S1 17.9 wt.%. Effectof shear rate. Continuous line is the fit of the kinetic model (m 1:5).

    350 H.A. Mohameed et al. / Journal of Food Engineering 61 (2004) 347352

  • 8/2/2019 1-s2.0-S0260877403001390-main

    5/6

    and 4. As a measure for the extent of thixotropy the

    ratio of the initial to final viscosity (g0=ge) was used.This approach was applied successfully by Nguyen and

    Boger (1985) to describe the time-dependent properties

    of concentrated mineral suspensions with m 2, byNguyen et al. (1998) to aqueous starch pastes with

    m 3, and by Abu-Jdayil and Mohameed (2002) tolabneh made from cow milk with m 2.

    Table 4 illustrates the values of k and g0=ge as a

    function of shear rate and solids concentration. Thevalue ofk was increasing as the shear rate increases for

    all the solids concentration investigated in this study, as

    it is expected for thixotropic structured materials. On

    the other hand, at constant shear rate, the value of k

    decreases as the solids concentration increases, i.e. the

    degree of thixotropy decreases with increasing the solids

    concentration. Increasing the solids concentration, due

    to the presence of protein and fats, may enhance for-

    mation of the gel structure as a result of different in-

    teractive forces. This gel structure for yogurt has been

    studied by many investigators (Ozer et al., 1998; Roefs

    & van Vliet, 1990; Ross-Murphy, 1990). It is believed

    that the gel structure was involved in sheep labneh at allsolids concentration but to different degrees. Therefore,

    the results suggest that the rate shear induced break-

    down of the internal structure in labneh decreased with

    increasing the solids concentration. The same qualitative

    results were found for labneh produced from cow milk.

    It was found that the k values were decreasing with the

    storage time (Abu-Jdayil & Mohameed, 2002). Increas-

    ing the storage time enhanced the gel structure forma-

    tion as the solids concentration does, and the same trend

    for k value was found.

    The extent of thixotropy, g0=ge, generally increases

    with increasing shear rate, except for sample S3 and_cc 28:38 s1. It may be also seen in Table 4 that g0=ge isgenerally larger for S4 than S1, but there is no trend

    between S2 and S3. This may be explained by analyzing

    the experimental results (see Fig. 3), where S3 and S2 are

    very close and they have close values of both the initial

    and the equilibrium viscosity.

    3.3. Steady state flow properties

    For the steady state flow properties, a shear rate of

    79.02 s1 was applied for 4 h in order to break down,

    completely, the thixotropic structure observed in Fig. 2.

    Then, the apparent viscosity was measured as a function

    of shear rate in order to study the sheep labneh flow

    properties after reaching steady state (completely de-

    stroyed state). The effect of solid content of the com-

    pletely destroyed labneh on the apparent viscosity is

    shown in Fig. 5. The viscosity of sheep labneh at all

    solids concentration came very close to each other and

    approached the viscosity of the lowest solid concentra-

    tion, sample S1, This is an indication that, applying a

    shear rate for a long time had broken the interactive

    forces in the labneh structure and led to a collapse of the

    gel structure. The slight differences in viscosity shown in

    Fig. 5 may be due to the solid amounts that behave as

    solid aggregates i.e. labneh became more like a thick

    suspension. However, the viscosity of destroyed labneh

    is lower than fresh labneh, as is expected. An example to

    show this is depicted in Fig. 6.

    Fig. 5. Effect of solids concentration on the apparent viscosity of de-

    structed labneh. Continuous line is power law fit.

    Table 4

    Structural breakdown parameters for the 1.5-order irreversible kinetic model

    Sample Solids con-

    centration

    (wt.%)

    _cc 3:65 s1 _cc 10:21 s1 _cc 28:38 s1 _cc 219:80 s1

    k (s1) g0=ge k (s1) g0=ge k (s

    1) g0=ge k (s1) g0=ge

    S1 17.9 0.0033 1.22 0.0038 1.33 0.0040 1.40 0.0068 1.85

    S2 18.8 0.0033 1.37 0.0035 1.57 0.0036 1.58 0.0048 1.74

    S3 20.9 0.0023 1.31 0.0034 1.54 0.0034 1.45 0.0037 1.80S4 24.2 0.0023 1.69 0.0030 1.85 0.0031 1.86 0.0035 1.98

    Fig. 6. Comparison between fresh and destructed labneh at S3 20.9wt.%.

    H.A. Mohameed et al. / Journal of Food Engineering 61 (2004) 347352 351

  • 8/2/2019 1-s2.0-S0260877403001390-main

    6/6

    The data were also described using the power law

    model introduced before (see Eq. (2)). Table 5 summa-

    rizes the parameters of the power law model for the

    completely destroyed labneh at different solids concen-

    tration. The correlation factor was one for all experi-

    ments. The values of m and n were almost the same for

    all solids concentration, confirming the results in Fig. 5.

    The values of m and n for the backward and forward

    were also the same showing that the thixotropic hys-

    teresis was diminished. Compared to cow labneh,

    shearing for 2 h at the same shear rate was enough to

    overcome the thixotropic behavior (Abu-Jdayil & Mo-

    hameed, 2002).

    4. Conclusions

    The variation in solids concentration of sheep labneh

    has an obvious effect on the apparent viscosity. Changes

    in solids concentration of 5% had led to doubling the

    viscosity of labneh. It was also found that labneh pro-

    duced from sheep milk has a higher viscosity than the

    one produced from cow milk. The power law model wasfound to correlate the experimental data accurately.

    Moreover, The consistency coefficient and the flow be-

    havior index were correlated as a function of solids

    concentration. The calculated apparent viscosity showed

    an average absolute error of less than 5% for all the

    experiments. Sheep labneh exhibits a shear thinning and

    thixotropic behavior. To investigate the thixotropic be-

    havior of sheep labneh, time-dependent viscosity ex-

    periments at different shear rates were performed. The

    structural kinetic approach was followed and a 1.5-

    order kinetic model could correlate the experimental

    data well. The breakdown constant and the extent ofthixotropy were found to increase with increasing the

    shear rate. After a 4-h application of 79.02 s1 shear rate

    to labneh samples of different solids concentrations, the

    hysteresis effects have disappeared and the labneh sam-

    ples reached a completely destroyed state (destructed

    labneh). The destructed labneh was also modeled satis-

    factorily using the power law.

    References

    Abu-Jdayil, B. (2002). Modeling the time-dependent rheological

    behavior of semisolid foodstuffs. Journal of Food Engineering, 57,

    97102.

    Abu-Jdayil, B., & Mohameed, H. (2002). Experimental and modeling

    studies of the flow properties of concentrated yogurt as affected by

    storage time. Journal of Food Engineering, 52, 359365.

    Abu-Jdayil, B., Shaker, R. R., & Jumah, R. Y. (2000). Rheological

    behavior of concentrated yogurt (labneh). International Journal of

    Food Properties, 3, 207216.

    Ag-Ventures Publications (2000). Agriculture Business Profiles (Agdex430/830-2). Alberta Agriculture, Food and Rural Development.

    AOAC (1995). Official methods of analysis (16th ed.). Virginia, DC:

    Association of Official Analytical Chemists.

    Hough, G., Moro, O., Segura, J., & Alvo, N. (1988). Flow properties

    of Dulce de Leche, a typical argentine dairy product. Journal of

    Dairy Science, 71, 17831788.

    Keceli, T., Robinson, R. K., & Gordon, M. H. (1999). The role of olive

    oil in the preservation of yogurt cheese (labneh anbaris). Interna-

    tional Journal of Dairy Technology, 52, 6872.

    Lebanese Standards (1965). LS-24. Lebanese Standard Institute. PO

    Box 2806, Beirut, Lebanon.

    Nguyen, Q. D., & Boger, D. V. (1985). Thixotropic behavior of con-

    centrated bauxite residue suspensions. Rheologic Acta, 24, 427437.

    Nguyen, Q. D., Jensen, C. T. B., & Kristensen, P. G. (1998).

    Experimental and modeling studies of the flow properties of maizeand waxy starch pastes. Chemical Engineering Journal, 70, 165171.

    Ozer, B. H., Stenning, R. A., Grandison, A. S., & Robinson, R. K.

    (1998). Rheology and microstructure of labneh (concentrated

    yogurt). Journal of Dairy Science, 82, 682689.

    Path, J. (1995). Cheese making. In Proceedings, first great lakes dairy

    sheep symposium (pp. 4649). Rio, Wisconsin: Wisconsin Sheep

    Breeders Coop. Publishers.

    Posati, L. P., & Orr, M. L. (1976). Composition of foods, dairy and

    eggs products. Agriculture Handbook no. 8-1. Washington, DC:

    USDA ARS, Consumer and Food Economics Institute Publishing,

    pp. 77109.

    Roefs, S. P. F. M., & van Vliet, T. (1990). Structure of acid casein gels.

    2. Dynamic measurement and type of interaction forces. Colloids

    and Surfaces, 50, 161175.

    Ross-Murphy, S. B. (1990). Concentration dependence of gelationtime. In E. Dickinson (Ed.), Food polymers, gels and colloids (pp.

    357368). Norwich, UK: The Royal Society of Chemistry.

    Son, S. M., & Singh, R. K. (1998). Reheological behavior of aseptically

    processed soybean milk under turbulent flow conditions. Interna-

    tional Journal of Food Properties, 1, 5770.

    Steffe, J. F. (1986). Rheological properties of fluid foods: Data

    compilation. In M. R. Okos (Ed.), Physical and Chemical Proper-

    ties of Food. ASAE Publications.

    Table 5

    Power law model parameters for completely destructed labneh

    Sample Solids concentration (wt.%) m (Pasn) n

    Forward Backward Forward Backward

    S1 17.9 39.79 39.56 0.063 0.063

    S3 20.9 41.44 40.99 0.081 0.082

    S4 24.2 41.60 41.66 0.108 0.107

    352 H.A. Mohameed et al. / Journal of Food Engineering 61 (2004) 347352