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Numerical Solution and it’s Analysis during Solar Drying of Green Peas

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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

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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

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