Freezing Time Prediction of Foods by Multiple Regression Analysis

다중회귀분석에 의한 식품의 동결시간 예측

  • Published : 1998.04.01

Abstract

To develop simple and accurate analytical method for freezing time prediction of beef and tylose under various freezing conditions, freezing time (Y) was regressed against the reciprocal $(X_3)$ of difference of initial freezing point and freezing medium temperature, reciprocal $(X_4)$ of surface heat transfer coefficient, the initial temperature $(X_1)$ and thickness $(X_2)$ of samples which should cover most situations arising in frozen food industry. As results of the multiple regression analysis, equations were obtained as follows. $Y_{tylose}=3.45X_1+7642.84X_2+4642.67X_3+2946.89X_4-431.33\;(R^2=0.9568)$ and $Y_{beef}=0.68X_1+7568.98X_2+2430.78X_3+3293.26X_4-299.00\;(R^2=0.9897)$. These equations offered better results than Plank, Nagaoka and Pham's models, shown in satisfactory agreement with models of Cleland & Earle and Hung & Thompson when were compared to previous models, and the accuracy of its was very high as average absolute difference of about 10% in the difference between the fitted and experimental results. Also, thermal diffusivities of beef and tylose were measured as $4.43{\times}10^{-4}m^2/hr$ and $4.39{\times}10^{-4}m^2/hr$ at $6{\sim}7^{\circ}C$, $2.42{\times}10^{-3}m^2/hr$ and $3.32{\times}10^{-3}m^2/hr$ at $-10{\sim}-12^{\circ}C$. Initial freezing points of beef and tylose were $-1.2^{\circ}C\;and\;-0.6^{\circ}C$, respectively. Surface heat transfer coefficients were estimated $20.57\;W/m^2^{\circ}C$ with no-packing, $16.11\;W/m^2^{\circ}C$ with wrap packing and $13.07\;W/m^2^{\circ}C$ with Al-foil packing, and the cooling rate of immersion freezing method was about 10 times faster than that of air blast freezing method.

본 연구에서는 서로 다른 동결조건 및 방법에 따른 우육 및 tylose의 단순하며 간편한 동결시간을 예측할 수 있는 모델을 모색하기 위하여 23개의 실험데이터를 이용하여 시료의 초기온도$(X_1)$, 시료의 두께$(X_2)$와 시료의 초기빙결점에서 동결매체 온도사이의 차의 역수$(X_3)$ 및 표면열전달계수의 역수$(X_4)$를 독립변수로 하고 동결시간(Y)을 종속변수로 설정하여 다중회귀 분석을 실시한 결과, $Y_{tylose}=3.45X_1+7642.84X_2+4642.67X_3+2946.89X_4-431.33\;(R^2=0.9568)$$Y_{beef}=0.68X_1+7568.98X_2+2430.78X_3+3293.26X_4-299.00\;(R^2=0.9897)$의 방정식을 구하였다. 본 모델은 Cleland & Earle와 Hung & Thompson의 모델과 마찬가지로 평균절대오차는 10% 수준으로, Plank, Nagaoka 및 Pham의 모델보다 정확함과 아울러 매우 간편함을 보여 주었다. 또한, 우육 및 tylose의 $6{\sim}7^{\circ}C$ 범위에서의 열확산율은 $4.43{\times}10^{-4}m^2/hr$$4.39{\times}10^{-4}m^2/hr,\;-10{\sim}-12^{\circ}C$에서의 열확산율은 $2.42{\times}10^{-3}m^2/hr$$3.32{\times}10^{-3}m^2/hr$로 측정되었고, tylose 및 우육의 빙결점은 각각 $-0.6^{\circ}C$$-1.2^{\circ}C$로 나타났다. 그리고 표면열전달계수는 송풍식에서 무포장시 $20.57\;W/m^2^{\circ}C$, wrap 포장시는 $16.11\;W/m^2^{\circ}C$, wrap 과 Al-foil로 포장한 경우에는 $13.07\;W/m^2^{\circ}C$로 계산되었으며, 침지식은 송풍식보다 냉각속도가 약 10배 이상 빠르게 나타났다.

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