-
Previous Article
On the convergence rate in multiscale homogenization of fully nonlinear elliptic problems
- NHM Home
- This Issue
-
Next Article
Spectral stiff problems in domains surrounded by thin stiff and heavy bands: Local effects for eigenfunctions
A mathematical model for spaghetti cooking with free boundaries
1. | Università degli Studi di Firenze, Dipartimento di Matematica, "Ulisse Dini", Viale Morgagni 67/A, I-50134, Firenze, Italy, Italy |
2. | Università degli Studi di Firenze, Dipartimento di Fisica, Via Sansone 1, I-50019, Sesto Fiorentino (FI), Italy |
References:
[1] |
S. Cafieri, S. Chillo, M. Mastromatteo, N. Suriano and M. A. Del Nobile, A mathematical model to predict the effect of shape on pasta hydration kinetic during cooking and overcooking, J. Cereal Science, (2008). |
[2] |
E. Cocci, G. Sacchetti, M. Vallicelli and M. Dalla Rosa, Spaghetti cooking b microwave oven: Cooking kinetics and product quality, J. Food Eng., 85 (2008), 537-546.
doi: oi:10.1016/j.jfoodeng.2007.08.013. |
[3] |
S. E. Cunningham, W. A. M. Mcminn, T. R. A. Magee and P. S. Richardson, Modelling water absorption of pasta during soaking, J. Food. Eng., 82 (2007), 600-607.
doi: 10.1016/j.jfoodeng.2007.03.018. |
[4] |
M. J. Davey, K. A. Landman, M. J. McGuinness and H. N. Jin, Mathematical modelling of rice cooking and dissolution in beer production, AIChE Journal, 48 (2002), 1811-1826.
doi: 10.1002/aic.690480821. |
[5] |
R. A. Grzybowski and B. J. Donnelly, Starch gelatinization in cooked spaghetti, J. Food Science, 42 (1977), 1304-1315.
doi: 10.1111/j.1365-2621.1977.tb14483.x. |
[6] |
M. J. McGuinness, C. P. Please, N. Fowkes, P. McGowan, L. Ryder and D. Forte, Modelling the wetting and cooking of a single cereal grain, IMA J. Math. Appl. Business and Industry, 11 (2000), 49-70. |
[7] |
A. G. F. Stapley, P. J. Fryer and L. F. Gladden, Diffusion and reaction in whole wheat grains during boiling, AIChE Journal, 44 (1998), 1777-1789.
doi: 10.1002/aic.690440809. |
[8] |
A. K. Syarief, R. J. Gustafson and R. V. Morey, Moisture diffusion coefficients for yellow-dent corn components, Trans. ASAE, 30 (1987), 522-528. |
[9] |
Ch. Xue, N. Sakai and M. Fukuoka, Use of microwave heating to control the degree of starch geletinization in noodles, J. Food. Eng., 87 (2007), 357-362.
doi: 10.1016/j.jfoodeng.2007.12.017. |
[10] |
Tain-Yi Zhang, A. S. Bakshi, R. J. Gustafson and D. B. Lund, Finite element analysis of nonlinear water diffusion during rice soaking, J. Food Science, 49 (1984), 246-277.
doi: 10.1111/j.1365-2621.1984.tb13719.x. |
show all references
References:
[1] |
S. Cafieri, S. Chillo, M. Mastromatteo, N. Suriano and M. A. Del Nobile, A mathematical model to predict the effect of shape on pasta hydration kinetic during cooking and overcooking, J. Cereal Science, (2008). |
[2] |
E. Cocci, G. Sacchetti, M. Vallicelli and M. Dalla Rosa, Spaghetti cooking b microwave oven: Cooking kinetics and product quality, J. Food Eng., 85 (2008), 537-546.
doi: oi:10.1016/j.jfoodeng.2007.08.013. |
[3] |
S. E. Cunningham, W. A. M. Mcminn, T. R. A. Magee and P. S. Richardson, Modelling water absorption of pasta during soaking, J. Food. Eng., 82 (2007), 600-607.
doi: 10.1016/j.jfoodeng.2007.03.018. |
[4] |
M. J. Davey, K. A. Landman, M. J. McGuinness and H. N. Jin, Mathematical modelling of rice cooking and dissolution in beer production, AIChE Journal, 48 (2002), 1811-1826.
doi: 10.1002/aic.690480821. |
[5] |
R. A. Grzybowski and B. J. Donnelly, Starch gelatinization in cooked spaghetti, J. Food Science, 42 (1977), 1304-1315.
doi: 10.1111/j.1365-2621.1977.tb14483.x. |
[6] |
M. J. McGuinness, C. P. Please, N. Fowkes, P. McGowan, L. Ryder and D. Forte, Modelling the wetting and cooking of a single cereal grain, IMA J. Math. Appl. Business and Industry, 11 (2000), 49-70. |
[7] |
A. G. F. Stapley, P. J. Fryer and L. F. Gladden, Diffusion and reaction in whole wheat grains during boiling, AIChE Journal, 44 (1998), 1777-1789.
doi: 10.1002/aic.690440809. |
[8] |
A. K. Syarief, R. J. Gustafson and R. V. Morey, Moisture diffusion coefficients for yellow-dent corn components, Trans. ASAE, 30 (1987), 522-528. |
[9] |
Ch. Xue, N. Sakai and M. Fukuoka, Use of microwave heating to control the degree of starch geletinization in noodles, J. Food. Eng., 87 (2007), 357-362.
doi: 10.1016/j.jfoodeng.2007.12.017. |
[10] |
Tain-Yi Zhang, A. S. Bakshi, R. J. Gustafson and D. B. Lund, Finite element analysis of nonlinear water diffusion during rice soaking, J. Food Science, 49 (1984), 246-277.
doi: 10.1111/j.1365-2621.1984.tb13719.x. |
[1] |
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch. Coupling techniques for nonlinear hyperbolic equations. Ⅱ. resonant interfaces with internal structure. Networks and Heterogeneous Media, 2021, 16 (2) : 283-315. doi: 10.3934/nhm.2021007 |
[2] |
Ugur G. Abdulla. On the optimal control of the free boundary problems for the second order parabolic equations. II. Convergence of the method of finite differences. Inverse Problems and Imaging, 2016, 10 (4) : 869-898. doi: 10.3934/ipi.2016025 |
[3] |
Ugur G. Abdulla. On the optimal control of the free boundary problems for the second order parabolic equations. I. Well-posedness and convergence of the method of lines. Inverse Problems and Imaging, 2013, 7 (2) : 307-340. doi: 10.3934/ipi.2013.7.307 |
[4] |
David Jerison, Nikola Kamburov. Free boundaries subject to topological constraints. Discrete and Continuous Dynamical Systems, 2019, 39 (12) : 7213-7248. doi: 10.3934/dcds.2019301 |
[5] |
Xulong Qin, Zheng-An Yao, Hongxing Zhao. One dimensional compressible Navier-Stokes equations with density-dependent viscosity and free boundaries. Communications on Pure and Applied Analysis, 2008, 7 (2) : 373-381. doi: 10.3934/cpaa.2008.7.373 |
[6] |
Fang Li, Xing Liang, Wenxian Shen. Diffusive KPP equations with free boundaries in time almost periodic environments: I. Spreading and vanishing dichotomy. Discrete and Continuous Dynamical Systems, 2016, 36 (6) : 3317-3338. doi: 10.3934/dcds.2016.36.3317 |
[7] |
M. R. Arias, R. Benítez. Properties of solutions for nonlinear Volterra integral equations. Conference Publications, 2003, 2003 (Special) : 42-47. doi: 10.3934/proc.2003.2003.42 |
[8] |
Jian Yang, Bendong Lou. Traveling wave solutions of competitive models with free boundaries. Discrete and Continuous Dynamical Systems - B, 2014, 19 (3) : 817-826. doi: 10.3934/dcdsb.2014.19.817 |
[9] |
Chonghu Guan, Xun Li, Zuo Quan Xu, Fahuai Yi. A stochastic control problem and related free boundaries in finance. Mathematical Control and Related Fields, 2017, 7 (4) : 563-584. doi: 10.3934/mcrf.2017021 |
[10] |
Lei Li, Jianping Wang, Mingxin Wang. The dynamics of nonlocal diffusion systems with different free boundaries. Communications on Pure and Applied Analysis, 2020, 19 (7) : 3651-3672. doi: 10.3934/cpaa.2020161 |
[11] |
Yihong Du, Mingxin Wang, Meng Zhao. Two species nonlocal diffusion systems with free boundaries. Discrete and Continuous Dynamical Systems, 2022, 42 (3) : 1127-1162. doi: 10.3934/dcds.2021149 |
[12] |
José M. Arrieta, Simone M. Bruschi. Very rapidly varying boundaries in equations with nonlinear boundary conditions. The case of a non uniformly Lipschitz deformation. Discrete and Continuous Dynamical Systems - B, 2010, 14 (2) : 327-351. doi: 10.3934/dcdsb.2010.14.327 |
[13] |
Hongxia Zhang, Ying Wang. Liouville results for fully nonlinear integral elliptic equations in exterior domains. Communications on Pure and Applied Analysis, 2018, 17 (1) : 85-112. doi: 10.3934/cpaa.2018006 |
[14] |
Xiyou Cheng, Zhaosheng Feng, Zhitao Zhang. Multiplicity of positive solutions to nonlinear systems of Hammerstein integral equations with weighted functions. Communications on Pure and Applied Analysis, 2020, 19 (1) : 221-240. doi: 10.3934/cpaa.2020012 |
[15] |
Mingxin Wang, Qianying Zhang. Dynamics for the diffusive Leslie-Gower model with double free boundaries. Discrete and Continuous Dynamical Systems, 2018, 38 (5) : 2591-2607. doi: 10.3934/dcds.2018109 |
[16] |
Meng Zhao, Wan-Tong Li, Wenjie Ni. Spreading speed of a degenerate and cooperative epidemic model with free boundaries. Discrete and Continuous Dynamical Systems - B, 2020, 25 (3) : 981-999. doi: 10.3934/dcdsb.2019199 |
[17] |
Weiyi Zhang, Zuhan Liu, Ling Zhou. Dynamics of a nonlocal diffusive logistic model with free boundaries in time periodic environment. Discrete and Continuous Dynamical Systems - B, 2021, 26 (7) : 3767-3784. doi: 10.3934/dcdsb.2020256 |
[18] |
Meng Zhao. The longtime behavior of the model with nonlocal diffusion and free boundaries in online social networks. Electronic Research Archive, 2020, 28 (3) : 1143-1160. doi: 10.3934/era.2020063 |
[19] |
Rong Wang, Yihong Du. Long-time dynamics of a diffusive epidemic model with free boundaries. Discrete and Continuous Dynamical Systems - B, 2021, 26 (4) : 2201-2238. doi: 10.3934/dcdsb.2020360 |
[20] |
Yuan Wu, Jin Liang. Free boundaries of credit rating migration in switching macro regions. Mathematical Control and Related Fields, 2020, 10 (2) : 257-274. doi: 10.3934/mcrf.2019038 |
2020 Impact Factor: 1.213
Tools
Metrics
Other articles
by authors
[Back to Top]