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    J. King Saud Univ., Vol. 16, Agric. Sci. (2), pp. 153-160, Riyadh (1424H/2004)

    Measurement and Prediction of Some Thermal

    Properties of 'Hashi' Camel Meat

    Ali I. Hobani and Atef M. Elansari Department of Agricultural Engineering, College of Agriculture, King Saud University, P.O Box 2460, Riyadh 11451, Saudi Arabia (Received 15/11/1423H.; accepted for publiction 8/4/1424)

Abstract. Thermal conductivity and thermal diffusivity of 'Hashi' camel meat were measured and predicted over a temperature range from 5-45?C. Thermal conductivity and thermal diffusivity were determined using a line heat source probe. The obtained values for thermal conductivity varied from 0.482 to 0.494 W/m.?C and -7the percent standard errors varied from 3.2 to 5.2%. The thermal diffusivity values varied from 1.26×10 to -721.29×10 m/s and the percent standard errors varied from 8.7 to 12.3%. Experimental values of the 'Hashi' camel meat were compared with the thermal conductivities and thermal diffusivities calculated using different empirical models.


The 'one-hump' dromedary camel (Camelus dromedarius ), also known as the Arabian

    camel is adapted to life in the Arabian deserts by its structural qualities and by its ability to bite off and consume the thorny plants that grow there. It has a woolly coat, caramel in color that may look unkempt due to seasonal shedding; it also provides milk, hides, and meat.

    The best camel meat comes from young male 'Hashi' camels. It is regarded as a delicacy in the Arabian diet, and is gaining popularity in arid lands where it is difficult to herd sheep, cattle and goats. The meat of young camel is widely consumed in the Central region of Saudi Arabia and is said to taste similar to veal. It is available directly from retail meat stores as fresh cooled cuts. Camel meat is a good source of protein and its amount is generally similar to the amount in beef, ranges between 18.71 and 19.52 g protein/100g meat [1].

    Owing to the hot and harsh environmental conditions in the country as well as the absence of proper cooling and freezing installations, the shelf life of such meat is likely to be very short [2]. Thermal processing of meat including heating, cooling, and freezing


    Ali I. Hobani and Atef M. Elansari 154

    have been extensively investigated for the preservation of beef, goat and other types of meat [3-8]. Values for the thermal properties of camel meat are not available in the literature. The efficient design of processing operations requires knowledge of the thermal properties of the product being processed.

    Thermal conductivity and thermal diffusivity can be determined experimentally based on steady state or transient methods. Reidy and Rippen [9] and Singh [10] provided an extensive review of methods used for experimental determination of thermal conductivity and thermal diffusivity values. Based on experimental data, many empirical and semi-empirical models for predicting both properties have been suggested [11-13]. One of the most efficient and practical way to obtain the values of thermal properties for various process conditions is by using mathematical models which are based on major components of a specific food product [14]. Hence, the present study was undertaken to determine experimentally the thermal conductivity and diffusivity of fresh 'Hashi' camel meat over a temperature range from 5 to 45?C using a line heat source probe. Another objective was to compare measured conductivities and diffusivities with predicted values obtained from existing thermal property models.

    Materials and Methods

    The fresh meat of an 18 months old 'Hashi' Najdi camel was used throughout this work. It was purchased from a local meat company in Riyadh. The meat was taken from the 'red' muscles of the hip and thigh. All visible fat was removed from the muscle tissues before they were minced and subsequently analyzed. An ordinary household mincer/mixer was used for mincing and mixing when required. Both the mincing and mixing processes helped to render homogeneous minced meat with the least voids when filling into the test cylinders.

The apparatus

    The single-needle KD2 thermal properties meter (Decagon Devices, Inc., Pullman, Washington, USA) was used to measure both the thermal conductivity and diffusivity simultaneously. The device is based on the line source probe theory as it uses a simple yet precise heating and monitoring system to measure the slope and intercept of the sample specific temperature rise vs. time curve. From this data, thermal conductivity and thermal diffusivity are derived. The basic theory behind the use of line source probe has been discussed previously by Hooper and Lepper [15] and Nix et al. [16].

    The length and diameter of the needle are 60 and 0.9 mm, respectively. The ratio of the probe length to diameter is more than 60 giving an axial flow error of less than 0.035% [17]. The probe is heated at a constant rate and the change in temperature at the center of the food sample is noted at a short distance. The values of thermal conductivity (k) and diffusivity (α) are calculated by monitoring the dissipation of heat from a line heat source given a known voltage. Hobani and Elansari [18] have discussed the equations used for the calculation of these properties.

    Measurement and Prediction of Some Thermal Properties … 155

    Experimental Procedure

    Thermal conductivity and diffusivity values for 'Hashi' Najdi camel meat with moisture content 78% were measured over the temperature range 5 to 45?C. 'Hashi' meat samples were packed in copper tubes (15mm diameter) within minutes of mixing, and then the single needle was inserted into each sample through a hole in the copper tube lid. The meat samples were firm with no evidence of free water when placed in the copper tubes. Three samples for each temperature (5, 20, 35 and 45?C) were immersed in a controlled temperature water bath and allowed to equilibrate to the desired temperature over a period of 45-60 min. The probe was calibrated using 99.5% pure glycerol (WINLAB, Leicestershire, UK) as a reference material.

    Results and Discussion

    Thermal conductivity

    Thermal conductivity experimental values for 'Hashi' camel meat at different temperatures appear in Table 1. Standard deviations (SD) ranged between 3.2 and 5.2%, with higher deviations found at higher temperatures.

    Table 1. Thermal conductivity and diffusivity experimental values of 'Hashi' camel meat

    Thermal Diffusivity (α) Temperature Thermal conductivity (k) %SD %SD -72(?C) (W/m.?C) (×10 m/s)

    5 0.482 3.2 1.26 12.1

    20 0.491 4.5 1.27 9.5

    35 0.493 5.2 1.27 12.3

    45 0.494 3.8 1.29 8.7

    The proximate composition of lean raw meat taken from the leg of a 'Hashi' camel is presented in Table 2. The sum of the percentages of moisture content, protein, fat and ash does not necessarily equal 100% because the amounts of each of these components were independently ascertained [1].

     * Table 2. Proximate composition of 'Hashi' camel meat

    Composition Meat Cut Protein Fat Moisture Ash

    Thigh 18.88 ? 0.76 1.4 ? 0.4 78.4 ? 0.92 1.13 ? 0.1

    * Mean (g/100 g) of a total of seven individual meat samples.

    Four different empirical models were considered for the prediction of thermal conductivities of the 'Hashi' meat with the tested range of temperature and composition.

    Ali I. Hobani and Atef M. Elansari 156

    Unlike other models, empirical models are commonly and widely used for their simplicity and accuracy [19]. The selected models were specifically developed for meat, Sorenfors [20] and Comini et al. [21] models were used for minced meat, Sweat [13]

    model was applied for a narrow temperature range above freezing because temperature is not included. The model is not accurate for the porous food containing air, and adding air as another component in this model is generally unsatisfactory. The model considers the Protein, Fat and Ash content, as a function of the thermal conductivity. Spells [22]

    model was considered by Pham [23] to obtain the conductivity of various kinds of meat. Comini et al. and Spells models deemed only the moisture content as the main parameter, which influenced the thermal conductivity. Sorenfors model, however, considered both the temperature and the water content as the influencing factors on thermal conductivity. To use these models, the values of thermal conductivities and densities of meat major components must be known. The thermal conductivities and densities of protein, fat, water and ash used in the models are listed (Table 3) using Choi and Okos models [14]. Thermal conductivity varies with chemical composition, density or porosity and temperature whilst the density of food materials depend mainly on temperature and compositions. Data on thermal conductivity and density obtained from prediction equations of the major food components of Choi and Okos [14] were used in the prediction of thermal conductivity of 'Hashi' camel meat using the four different empirical models considered for this study. Models equations used for the prediction of thermal conductivity are summarized in Table 4.

Table 3. Thermal conductivity (k) and density () of protein, fat, water and ash from Choi and Okos [14] Protein Fat Water Ash k k k k ;;;;Temp. 3333(W/m.?C) (W/m.?C) (W/m.?C) (W/m.?C) (kg/m(kg/m(kg/m(kg/m) ) ););

    5 0.1849 1327 0.1672 923 0.5796 997 0.3229 2422

    20 0.2019 1320 0.1257 917 0.6035 9970.3008 2418

    35 0.2177 1312 0.0842 911 0.6244 9970.2774 2414

    45 0.2275 1307 0.0564 907 0.6366 9970.2611 2411

    Sweat and Spells models were identical and the closest to the measured values where the error reached a minimal value of 0.61%. The Sorenfors model did not fit the measured values well with standard deviation range from the measured values of 13-33% at 25-50?C, though it was recommended specifically for meat. The Comini et al.

    model [21], however, shows reasonably good fit with a standard deviation error of 5.49%. Hence, the thermal conductivities of 'Hashi' camel meat can be predicted by Sweat and Spells models.

    Measurement and Prediction of Some Thermal Properties … 157

Table 4. Different models used for thermal conductivity (k) prediction

    k Temp. Model Equation %SD (W/m.?C) range (?C)

    3Sorenfors 0.327- 0.423 25-50 13-33 k0.0490.34X2.410Tew

     k0.260.33XComini et al. 0.518 25-50 5.49 ew

     k0.58X0.155X0.25X0.135X0.16XSweat 0.487 25 0.61 ewpcaf

     k0.080.52XSpells 0.487 0-60 0.61 ew

    The subscripts stand for various components: w = water, p = protein, c = carbohydrate, a = ash, f = fat, and e = estimated (predicted).

Thermal diffusivity

    Experimental data for 'Hashi' camel meat thermal diffusivity at different -7temperatures are listed in Table 1. The experimental values varied from 1.26×10 to -721.29×10 m/s with percent standard errors ranging between 8.7 and 12.1%. Thermal diffusivities were found to slightly increase with increasing temperature, a behavior found with other moist foods [24]. Poulsen [25] reported a value of thermal diffusivity -72of 1.46×10 m/s for meat with a moisture content of 74% at a temperature range of 0--7-7250C, while Singh [10] reported values ranged from 1.23×10 to 1.33×10 m/s at the

    temperature rang of 40 to 65C and 66 to 71% moisture contents.

    Table 5, shows data of predicted thermal diffusivities using two different models selected to compare the predicted with experimental values. The first one was Riedel model [26], suggested for water rich liquid and solid foods containing at least 40% water in the temperature range of 0 to 80C. The model was developed to predict the thermal

    diffusivity as a function of water content using a wide range of food products. Dickrson and Read [27] used this model to predict the thermal diffusivity of a variety of meat and found good agreement with experimental values. The second model was developed by Martens [28], where he used a regression analysis on 246 published values on thermal diffusivity of a variety of food products including meat. As can be seen from the percent standard errors for both models (Table 5), both models agreed well with the experimental data. Martens model is thought to be more applicable as it takes into consideration both the temperature and the moisture content.


    Thermal conductivity and thermal diffusivity of 'Hashi' camel meat have been measured and modeled in the temperature range 5 to 45?C. Four different models and another two different ones were considered for the prediction of thermal conductivity

    Ali I. Hobani and Atef M. Elansari 158

    Table 5. Different models used to predict thermal diffusivity ()

    α Temp. Model Equation % SD -72(×10 m/s) (?C)

    77Riedel 1.328 4.76 35 ,(0.88100.8810Xww

    1.250 0.79 5 1.293 1.57 20 6Martens ,(;?0.057363X0.000288 T27310 w1.336 5.51 35 1.365 6.20 45

    The subscripts w stands for water.

    and thermal diffusivity, respectively, in 'Hashi' camel meat. Among the first four models, Sweat and Spells models were found to give good thermal conductivity values and their accuracy is probably sufficient for most engineering computations. For thermal diffusivity, both models selected for the prediction were found to perform well over the selected range of temperature.


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Measurement and Prediction of Some Thermal Properties … 159

[15] Hooper, F.C and Lepper, F.R. "Transient Heat-Flow Apparatus for Determination of Thermal Conductivities". Transactions of ASHVE, 56 (1950), 309-322. [16] Nix, G.H.; Lowery, F.W.; Vachon, R.I. and Tanger, G.E. “Direct Determination of Thermal Diffusivity and Conductivity with a Refined Line Source Technique.” In: Progress in Aeronautics and Astronautics: Thermo-physics of Spacecraft and Planetary Bodies. 20: 865. New York: Academic Press, 1967. [17] Murakami, E.G., Sweat, V.E., Sastry, S.K., Kolbe, E., Hayakawa, K. and Datta, A. "Recommended Design Parameters for Thermal Conductivity Probe for Nonfrozen Food Materials". Journal of Food Engineering, 27 (1996), 109-123. [18] Hobani, A.I. and Elansari, A.M. "Thermal Properties of Fresh Grouper 'Hamour' Fish". Misr Journal of Agr. Eng., Egypt. 19, No. 3 (2002), 668-676. [19] AbuDagga, Y. and Kolbe, E. "Thermophysical Properties of Surimi Paste at Cooking Temperature". Journal of Food Engineering, 32 (1997), 325-337. [20] Sorenfors, P. "Determination of the Thermal Conductivity of Minced Meat". Food Science and Technology, 7, No. 7 (1973), 236-243. [21] Comini, G., Bonacina, C. and Barina, S. "Thermal Properties of Foodstuffs". Bull. Inst. Int. Froid. 3 (1974), 163-172. [22] Spells, K.E. "The Thermal Conductivity of Some Biological Fluids.” Phys. Med. Biol., 5 (1960), 139-153. [23] Pham, Q.T. and Willix, J. "Thermal Conductivity of Fresh Lamb Meat, Offals and Fat in the Range -40 to +30?C: Measurements and Correlations.” Journal of Food Science, 54, No. 3 (1989), 508-515. [24] Nesvadba, P. and Eunson, C. "Moisture and Temperature Dependence of Thermal Diffusivity of Cod Minces". Journal of Food Technology, 19 (1984), 585-592. [25] Poulsen, K.P. "Thermal Diffusivity of Foods Measured by Simple Equipment". Journal of Food Engineering, 1 (1982), 115-121 [26] Riedel, L. "Measurements of Thermal Diffusivity of Foodstuffs Rich in Water. Kqltetechnik-klimatisieuring. 21, No. 11 (1969), 315-316. [27] Dickerson, R.W. and Read, R.B. "Thermal Diffusivity of Meats". ASHRAE Trans., 81, No. 1 (1975), 356-364. [28] Martens, T. Mathematical Model to Heat Processing in Flat Containers. Ph.D. Thesis, Katholeike Univ., Leuven, Belguim (1980).

    Ali I. Hobani and Atef M. Elansari 160

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