BibTex RIS Kaynak Göster

A Two Dimensional Finite Difference Model for Predicting The Temperature Profiles During Microwave Heating of Foods Having Finite Cylinder Geometry

Yıl 2012, Cilt: 2 Sayı: 13, 1 - 14, 01.01.2012

Öz

The development of accurate mathematical models for microwave heating of foods is necessary for the prediction of the possible hot and cold zones. A numerical model was developed to compute the temperature profiles ina finite cylinder during microwave heating, and these profiles were compared with experimental temperature profile data obtained from literature. Evaporation of moisture was not taken into account. Although the level of agreement between the experimental and predicted surface temperatures was very high absolute mean error of 3 % for potato finite cylinders, the predicted temperatures for the geometric center were significantly higher than the experimental values absolute mean error of 29.7 % . Another observation to be noted was the dependency of temperature profiles on the number of nodes used in the computations. For one data set a mesh size was chosen such that the error between the finite difference predictions and experimental data was minimized. Then the same number of nodes was used for other data sets. By this means, the absolute mean errors between experimental and numerical temperatures for 2% agar gel cylinder R = 0.035 m, H = 0.07 m were 5.5 % and 7.5 % for center and near surface temperatures, respectively

Kaynakça

  • Lin, Y.E., Anantheswaran, R.C. & Puri, V.M. Finite element analysis of microwave heating of solid foods, Journal of Food Engineering,25, (1995), pp. 85- 112.
  • Campanone, L.A., Zaritzky, N.E. Mathematical analysis of microwave heating process, Journal of Food Engineering,69, (2005), pp. 359- 368
  • Yang, H.W. And Gunasekaran, S. Temperature profiles in a cylindrical model food during pulsed microwave heating. Journal of Food Science, 66(7), (2001), pp: 998- 1004.
  • Zhou,L., Puri, V.M., Anantheswaran, R.C. & Yeh, G. Finite element modeling of heat and mass transfer in food materials during microwave heating – Model development and validation, Journal of Food Engineering,25, (1995), pp. 509- 529.
  • Romano, V.R., Marra, F., Tammara, U. Modelling of microwave heating of foodstuff: study on the influence of sample dimensions with a FEM approach, Journal of Food Engineering,71, (2005), pp. 233- 241.
  • Yang, H.W. & Gunasekaran, S. Comparison of temperature distribution in model food cylinders based on Maxwell equations and Lambert’s law during microwave heating. Journal of Food Engineering, 64, (2004), pp: 445- 453.
  • Datta, A.K., Sumnu, G., Raghavan; G. S. V. Dielectric Properties in Foods, in Rao, M. A., Rizvi, S. S. H, Datta, A. K. (Eds). Engineering Properties of Foods, Third Edition, CRC Pres Taylor & Francis, Boca Raton, pp:505- 506, 2005.
  • Padua, G.W. Microwave heating of agar gels containing sucrose, Journal of Food Science,58(6), (1993), pp. 1426- 1428.
  • Oliveira, M.E. C., & Franca, A.S. Microwave heating of foodstuff. Journal of Food Engineering, 53, (2002), pp. 347- 359.
  • Sakin, M. Modeling of cake baking process as simultaneous heat and mass transfer, PhD Thesis, Ege University, Institute of Natural and Applied Sciences, Branch of Food Engineering, Bornova, Izmir, 2005
  • Sakin, M., Kaymak-Ertekin, F., & Ilicali, C. Heat and mass transfer simulation applied to convective oven cup cake baking, Journal of Food Engineering, 83, (2007), pp: 463-474.
  • Carnahan, B., Luther, H.A., & Wilkes, J.O. Applied numerical methods .John Wiley & Sons. Inc., NY, pp:. 440-446, 1969.
  • Cengel, Y.A. Heat Transfer a Practical Approach, 2nd Edition. Mc Graw-Hill., New York, pp: 216, 219, 2003.
  • Gunesakaran, S., Yang, H-W. Effect of experimental parameters on temperature distribution during continuous and pulsed microwave heating, Journal of Food Engineering,78, (2007), pp. 1452-1456
Yıl 2012, Cilt: 2 Sayı: 13, 1 - 14, 01.01.2012

Öz

Kaynakça

  • Lin, Y.E., Anantheswaran, R.C. & Puri, V.M. Finite element analysis of microwave heating of solid foods, Journal of Food Engineering,25, (1995), pp. 85- 112.
  • Campanone, L.A., Zaritzky, N.E. Mathematical analysis of microwave heating process, Journal of Food Engineering,69, (2005), pp. 359- 368
  • Yang, H.W. And Gunasekaran, S. Temperature profiles in a cylindrical model food during pulsed microwave heating. Journal of Food Science, 66(7), (2001), pp: 998- 1004.
  • Zhou,L., Puri, V.M., Anantheswaran, R.C. & Yeh, G. Finite element modeling of heat and mass transfer in food materials during microwave heating – Model development and validation, Journal of Food Engineering,25, (1995), pp. 509- 529.
  • Romano, V.R., Marra, F., Tammara, U. Modelling of microwave heating of foodstuff: study on the influence of sample dimensions with a FEM approach, Journal of Food Engineering,71, (2005), pp. 233- 241.
  • Yang, H.W. & Gunasekaran, S. Comparison of temperature distribution in model food cylinders based on Maxwell equations and Lambert’s law during microwave heating. Journal of Food Engineering, 64, (2004), pp: 445- 453.
  • Datta, A.K., Sumnu, G., Raghavan; G. S. V. Dielectric Properties in Foods, in Rao, M. A., Rizvi, S. S. H, Datta, A. K. (Eds). Engineering Properties of Foods, Third Edition, CRC Pres Taylor & Francis, Boca Raton, pp:505- 506, 2005.
  • Padua, G.W. Microwave heating of agar gels containing sucrose, Journal of Food Science,58(6), (1993), pp. 1426- 1428.
  • Oliveira, M.E. C., & Franca, A.S. Microwave heating of foodstuff. Journal of Food Engineering, 53, (2002), pp. 347- 359.
  • Sakin, M. Modeling of cake baking process as simultaneous heat and mass transfer, PhD Thesis, Ege University, Institute of Natural and Applied Sciences, Branch of Food Engineering, Bornova, Izmir, 2005
  • Sakin, M., Kaymak-Ertekin, F., & Ilicali, C. Heat and mass transfer simulation applied to convective oven cup cake baking, Journal of Food Engineering, 83, (2007), pp: 463-474.
  • Carnahan, B., Luther, H.A., & Wilkes, J.O. Applied numerical methods .John Wiley & Sons. Inc., NY, pp:. 440-446, 1969.
  • Cengel, Y.A. Heat Transfer a Practical Approach, 2nd Edition. Mc Graw-Hill., New York, pp: 216, 219, 2003.
  • Gunesakaran, S., Yang, H-W. Effect of experimental parameters on temperature distribution during continuous and pulsed microwave heating, Journal of Food Engineering,78, (2007), pp. 1452-1456
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

C. İlıcalı F.ıcier Bu kişi benim

Yayımlanma Tarihi 1 Ocak 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 2 Sayı: 13

Kaynak Göster

APA F.ıcier, C. İ. (2012). A Two Dimensional Finite Difference Model for Predicting The Temperature Profiles During Microwave Heating of Foods Having Finite Cylinder Geometry. Manas Journal of Natural Sciences, 2(13), 1-14.
AMA F.ıcier Cİ. A Two Dimensional Finite Difference Model for Predicting The Temperature Profiles During Microwave Heating of Foods Having Finite Cylinder Geometry. Manas Journal of Natural Sciences. Ocak 2012;2(13):1-14.
Chicago F.ıcier, C. İlıcalı. “A Two Dimensional Finite Difference Model for Predicting The Temperature Profiles During Microwave Heating of Foods Having Finite Cylinder Geometry”. Manas Journal of Natural Sciences 2, sy. 13 (Ocak 2012): 1-14.
EndNote F.ıcier Cİ (01 Ocak 2012) A Two Dimensional Finite Difference Model for Predicting The Temperature Profiles During Microwave Heating of Foods Having Finite Cylinder Geometry. Manas Journal of Natural Sciences 2 13 1–14.
IEEE C. İ. F.ıcier, “A Two Dimensional Finite Difference Model for Predicting The Temperature Profiles During Microwave Heating of Foods Having Finite Cylinder Geometry”, Manas Journal of Natural Sciences, c. 2, sy. 13, ss. 1–14, 2012.
ISNAD F.ıcier, C. İlıcalı. “A Two Dimensional Finite Difference Model for Predicting The Temperature Profiles During Microwave Heating of Foods Having Finite Cylinder Geometry”. Manas Journal of Natural Sciences 2/13 (Ocak 2012), 1-14.
JAMA F.ıcier Cİ. A Two Dimensional Finite Difference Model for Predicting The Temperature Profiles During Microwave Heating of Foods Having Finite Cylinder Geometry. Manas Journal of Natural Sciences. 2012;2:1–14.
MLA F.ıcier, C. İlıcalı. “A Two Dimensional Finite Difference Model for Predicting The Temperature Profiles During Microwave Heating of Foods Having Finite Cylinder Geometry”. Manas Journal of Natural Sciences, c. 2, sy. 13, 2012, ss. 1-14.
Vancouver F.ıcier Cİ. A Two Dimensional Finite Difference Model for Predicting The Temperature Profiles During Microwave Heating of Foods Having Finite Cylinder Geometry. Manas Journal of Natural Sciences. 2012;2(13):1-14.