Analisis Numerik Pengeringan Ubi Jalar Berbasis Model Fick 1D dengan Kondisi Batas Robin: Aplikasi Skema Crank-Nicolson (FDM) pada Data Empirik
Numerical Analysis of Sweet Potato Drying Based on the 1D Fick Model with Robin Boundary Conditions: Application of the Crank–Nicolson Scheme (FDM) to Empirical Data
DOI:
https://doi.org/10.25047/jofe.v4i4.6525Keywords:
analisis numerik, crank–nicolson, fick 1D, kondisi batas robin, ubi jalarAbstract
Analisis numerik pengeringan irisan ubi jalar menggunakan model Fick satu dimensi dengan kondisi batas Robin dilakukan untuk mengevaluasi kemampuan model dalam merekonstruksi kurva empiris penurunan kadar air pada suhu 50 °C dan 60 °C. Irisan ubi jalar varietas lokal setebal 2 mm dikeringkan dalam oven konveksi dengan pemantauan massa setiap 10 menit hingga tercapai kondisi setimbang. Skema Crank–Nicolson digunakan sebagai metode implisit dalam kerangka Finite Difference Method (FDM) dengan penyelesaian sistem tridiagonal melalui algoritma Thomas. Tujuan penelitian ini adalah mengembangkan dan mengimplementasikan model Fick 1D dengan batas Robin melalui skema Crank–Nicolson, serta membandingkan hasil simulasi dengan data eksperimen pada dua kondisi suhu untuk menilai akurasi model. Validasi dilakukan menggunakan koefisien determinasi (R²) dan Root Mean Square Error (RMSE). Hasilnya menunjukkan R² = 0,978 dan RMSE = 0,028 pada 50 °C, serta R² = 0,987 dan RMSE = 0,022 pada 60 °C.Temuan ini membuktikan bahwa penerapan batas Robin mampu merepresentasikan fenomena konveksi permukaan lebih realistis dibandingkan batas ideal. Dengan demikian, model Fick 1D berbasis Crank–Nicolson terbukti valid, akurat, dan berpotensi menjadi alat bantu perancangan proses pengeringan pangan yang efisien dan hemat energi.
References
Adeju¬mo, P. O., Olumurewa, J. A. V., Bolade, M. K., & Awolu, O. O. (2023). Modeling of Thin Layer Drying Characteristics of Cassava Grate in a Hybrid Solar Dryer. IPS Journal of Nutrition and Food Science, 2(2), 73-81.
Alara O.R., Abdurahman N.H., Olalere O.A., “Mathematical modelling and morphological properties of thin layer oven drying of Vernonia amygdalina leaves”, Journal of the Saudi Society of Agricultural Sciences, vol. 18, no. 3, pp. 309-315, 2019.
Ayetigbo, O., Latif, S., Abass, A., & Müller, J. (2021). Drying kinetics and effect of drying conditions on selected physicochemical properties of foam from yellow-fleshed and white-fleshed cassava (Manihot esculenta) varieties [Data set]. Data in Brief, 37, 107192.
Bai, J. W., Xiao, H. W., Ma, H. L., & Zhou, C. S. (2018). Artificial neural network modeling of drying kinetics and color changes of Ginkgo biloba seeds during microwave drying process. Journal of Food Quality, 2018, 1–12.
Bi, J., Zhang, J., Chen, Z., Li, Y., Obadi, M., Liu, W., & Qin, R. (2024). Quality variation analysis and rehydration kinetics modeling of yuba subjecting to three different drying processes. Food Chemistry: X, 21, 100586.
Chikwendu, O. D. (2018). Mathematical modelling of combined infrared and hot air drying of sliced sweet potato (Ipomoea batatas L.). Universiti Putra Malaysia Institutional Repository.
Cosme-De Vera, F. H., Soriano, A. N., & Ubando, A. T. (2021). A comprehensive review on the drying kinetics of common tubers. Applied Science and Technology Journal, 15(1), 22–38.
Delfiya, D. S. A., Prashob, K., & Murali, S. (2022). Drying kinetics of food materials in infrared radiation drying: A review. Journal of Food Process Engineering, 45(8), e13938.
Hamdani, A.M., Aziz, A., & Hasan, M. (2020). Numerical modeling of thin-layer drying kinetics using finite difference method under low-temperature conditions. Drying Technology, 38(10), 1324–1335.
Hashim, N., Daniel, O., & Rahaman, E. (2014). A preliminary study: Kinetic model of drying process of pumpkins (Cucurbita moschata) in a convective hot air dryer. Agriculture and Agricultural Science Procedia, 2, 345–352.
Irfan, A. M., & Nunik, L. (2021). Pemodelan matematis kinetika pengeringan cabai merah dengan perlakuan blansing suhu rendah. Jurnal Ilmiah Rekayasa Pertanian dan Biosistem, 9(1), 77–86.
Jain, D., & Pathare, P. B. (2007). Study the drying kinetics of open sun drying of fish. Journal of Food Engineering, 78(4), 1315–1319.
Kholidah, S. N., & Purwanti, Y. (2023). Characteristics of the physicochemical properties of purple sweet potato flour (Ipomoea batatas L.) with temperature variations in drying cabinet dryer. Journal of Food and Agro-Industry, 14(1), 67–75.
Krokida, M. K., Karathanos, V. T., & Maroulis, Z. B. (2003). Drying kinetics of some vegetables. Journal of Food Engineering, 59(4), 391–403.
Mahmudatussa’adah, A., Fardiaz, D., Andarwulan, N., & Kusnandar, F. (2015). Pengaruh pengolahan panas terhadap konsentrasi antosianin monomerik ubi jalar ungu (Ipomoea batatas L). Agritech, 35(2), 123–131.
Mezhericher, M., Levy, A., & Borde, I. (2010). Theoretical models of single droplet drying kinetics: A review. Drying Technology, 28(2), 278–293.
Mukhlis, A. M., Sukainah, A., & Putra, R. P. (2024). Model kinetika pengeringan ubi jalar ungu (Ipomoea batatas) menggunakan cabinet dryer. Jurnal Pendidikan Teknologi Pertanian, 10(1), 12–22.
Omari, A., Behroozi‐Khazaei, N., & Sharifian, F. (2018). Drying kinetic and artificial neural network modeling of mushroom drying process in microwave‐hot air dryer. Journal of Food Process Engineering, 41(6), e12862.
Paramitha, T. (2022). Kajian kinetika, analisis energi, dan analisis eksergi pengeringan ubi jalar cilembu dengan tray dryer. Jurnal Sains dan Teknologi Reaksi, 7(2), 45–56.
Poir, M. D. E. X. (2016). Kinetic model of drying process of pumpkin (Cucurbita moschata Duchesne ex Poir.) in a convective hot air dryer. Universiti Putra Malaysia Institutional Repository.
Ratnaningsih, R., Rahardjo, B., & Suhargo, S. (2007). Kajian penguapan air dan penyerapan minyak pada penggorengan ubi jalar (Ipomoea batatas L.) dengan metode deep-fat frying. Agritech, 27(3), 145–152.
Toğrul, İ. T., & Pehlivan, D. (2004). Modelling of thin layer drying kinetics of some fruits under open-air sun drying process. Journal of Food Engineering, 65(3), 413–425.
Ungu, P. P. (2018). Stability of anthocyanin during processing, storage and simulated digestion of purple sweet potato pasta. Indonesian Journal of Agricultural Science, 19(2), 89–98.
Wulandari, A., Sunarti, T. C., & Fahma, F. (2019). Karakteristik mikrokapsul antosianin ubi jalar ungu dengan teknik spray drying. Jurnal Teknologi Industri Pertanian, 29(1), 33–41.
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