Abstract
A mathematical model is developed for solar drying of green peas (Botanical name: Pisum Sativum). The problem is solved assuming the shape of the green peas is spherical. The governing transient mass transfer equation is discretized into finite difference scheme. The time marching is performed by implicit scheme. The governing equations and boundary conditions are non-dimensionalized to get generic results. The product in the chamber is in contact with air which is heated by solar energy, so the boundary conditions of third kind (convective boundary conditions) are considered. By space and time discretization a set of algebraic equations are generated and these algebraic equations are solved by tridiagonal matrix algorithm. A computer code is developed in MATLAB in order to compute the transient moisture content distribution inside the product. Center point, boundary and mean moisture of green peas are estimated at different temperatures and drying time. Present numerical result is compared with experimental result from literature and it was found that there is a good agreement of results. The drying time is predicted for how quickly the mean moisture of green peas is reached to 50, 40, 30, 20 and 10% of its initial moisture corresponding to different temperatures.
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Abbreviations
- D:
-
Coefficient of diffusion, m2/s
- M:
-
Moisture content of the product, kg/kg of db
- Mair :
-
Moisture content of the air, kg/kg of db
- Mo :
-
Initial moisture content, kg/kg of db
- r:
-
Space coordinate, m
- R:
-
Radius of the product, m
- t:
-
Time coordinate, s
- hm :
-
Mass transfer coefficient, m/s
- T:
-
Temperature, °C
- *:
-
Non dimensional parameter
References
N. Wang, J.G. Brennan, A mathematical model of simultaneous heat and moisture transfer during drying of potato. J. Food Eng. 24, 47–60 (1995)
M.M. Hussain, I. Dincer, Two-dimensional heat and moisture transfer analysis of a cylindrical moist object subjected to drying. Int. J. Heat Mass Transf. 46, 4033–4039 (2003)
H.F. Oztop, E.K. Akpinar, Numerical and experimental analysis of moisture transfer for convective drying of some products. Int. Commun. Heat Mass Transf. 35, 169–177 (2008)
V.P. Chandramohan, P. Talukdar, Experimental studies for convective drying of potato. Heat Transf. Eng. 35(14–15), 1288–1297 (2014)
S. Simal, A. Mulet, J. Tarrazo, C. Rossello, Drying models for green peas. Food Chem. 55(2), 121–128 (1996)
L. Bennamoun, A. Belhamri, Numerical simulation of drying under variable external conditions. Application to solar drying of seedless grapes. J. Food Eng. 76, 179–187 (2006)
A. Fudholi, K. Sopian, B. Bakhtyar, M. Gabbasa, M.Y. Othman, M.H. Ruslan., Review of solar drying systems with air based solar collectors in Malaysia. Renew. Sustain. Energy Rev. 51, 1191–1204 (2015)
P.S. Chauhan, A. Kumar, P. Tekasakul, Applications of software in solar drying systems: a review. Renew. Sustain. Energy Rev. 51, 1326–1337 (2015)
E.K. Akpinar, Evaluation of convective heat transfer coefficient of various crops in cyclone type dryer. Energy Convers. Manag. 46, 2439–2454 (2005)
D. Velic, M. Planinic, S. Tomas, M. Bili, Influence of airflow velocity on kinetics of convection apple drying. J. Food Eng. 64, 97–102 (2004)
W.J.N. Fernando, A.L. Ahmad, S.R.A. Shukor, Y.H. Lok, A model for constant temperature drying rates of case hardened slices of papaya and garlic. J. Food Eng. 88, 229–238 (2008)
V.P. Chandramohan, Numerical prediction and analysis of a surface transfer coefficients on moist object during heat and mass transfer application. Heat Transf. Eng. 37(1), 53–63 (2014)
S. Simal, C. Rossello, Heat and mass transfer model for potato drying. Chem. Eng. Sci. 49(22), 3739–3744 (1994)
A. Kaya, O. Aydın, Numerical modeling of forced convection drying of cylindrical moist objects. Numerical Heat Transf. A. 51, 843–854 (2007)
A. Kaya, O. Aydın, I. Dincer, Numerical modeling of heat and mass transfer during forced convection drying of rectangular moist objects. Int. J. Heat Mass Transf. 49, 3094–3103 (2006)
J.A. Hernandez, G. Pavon, M.A. Garcia, Analytical solution of mass transfer equation considering shrinkage for modeling food-drying kinetics. J. Food Eng. 45, 1–10 (2000)
S. Simal, C. Rossello, A. Berna, A. Mulet, Drying of shrinking cylinder-shaped bodies. J. Food Eng. 37, 423–435 (1998)
B. Honarvar, D. Mowla, Theoretical and experimental drying of a cylindrical sample by applying hot air and infrared radiation in an inert medium fluidized bed. Braz. J. Chem. Eng. 29(2), 231–242 (2012)
M. Markowski, Air drying of vegetables: evaluation of mass transfer coefficient. J. Food Eng. 34, 55–62 (1997)
S.K. Dutta, V.K. Nema, R.K. Bhardwaj, Drying behavior of spherical grains. Int. J. Heat Mass Transf. 31(4), 855–861 (1988)
A.S. Mujumdar, Handbook of Industrial Drying, 3rd edn. (Published by CRC Press, Taylor and Francis group, Boca Raton, 2006)
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Godireddy, A., Lingayat, A., Naik, R. et al. Numerical Solution and it’s Analysis during Solar Drying of Green Peas. J. Inst. Eng. India Ser. C 99, 571–579 (2018). https://doi.org/10.1007/s40032-017-0379-5
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DOI: https://doi.org/10.1007/s40032-017-0379-5