Analysis of drying of melon peels using numerical solution of the diffusion equation

Abstract

The objective of this work was to apply a diffusive model to describe the drying of melon peels and use them to analyze the process for various operating conditions. For this, a numerical solution was developed considering shrinkage and diffusivity as a function of the local moisture content. This solution was obtained considering a boundary condition of the third kind. In the present work, drying of melon peels was carried out in an oven (with and without osmotic pretreatment) at temperatures of 60 and 70 C. The osmotic pretreatments were carried out in binary solutions (sucrose and distilled water) with 20 Brix at a ratio of 1:3 (g/g) (peel to solution).According to the statistical indicators obtained, the model proposed adequately fitted to the experimental data, providing values for the chi-square and the coefficient of determination of 7.682 Â 10 À4 to 2.356 Â 10 À3 and .99953-.99982, respectively.Both pretreatment and temperature influenced the drying parameters of the process.

Diffusion in Biological Media: A Comprehensive Numerical-Analytical Study via Surface Analysis and Diffusivities Calculation

“…a-f), where the highest redness values were noticed at the flesh-skin interface, approximately 12 mm, measured from where the flesh begins. Notably, the double diffusion boundary of dye species in the skin was also verified 37 , Robin boundary condition, given that the skin resists the transfer of species while allowing the passage of a smaller flow of colouring inside the fruit, in addition to the primary flow that occurs through the flesh. The progressive increase in redness as the staining phenomenon progressed and the dye entered the matrix was also observed; therefore, the surface graphs would assertively illustrate the diffusive physical phenomenon.…”

“…a-f and m-r), and yet, the concentration values that entered and were emitted were larger than triple. Therefore, it can be inferred that an increase in temperature has a significant impact when greater dye concentrations are employed in the staining process 36,37 .…”

Impact of ultrasound pretreatment on banana chip production by convective drying using hot air: Consideration of shrinkage and variable effective mass diffusivity in the process description

“…Classically, the diffusion model based on Fick's second law of diffusion (Crank, 1975) has been applied to explain different types of processes, such as cooling (da Silva et al, 2023; Santos et al, 2022), heating (da Silva et al, 2022), osmotic dehydration (da Silva, de Farias Aires, et al, 2014; da Silva, e Silva, Lins, et al, 2014; Ferreira, Castro, et al, 2020), phytochemical extraction (da Silva et al, 2018), moisture absorption (Pereira et al, 2022), and food drying by moisture gradients (Lima et al, 2022; Pereira et al, 2023; Silva et al, 2008; Srikiatden & Roberts, 2007). Regarding drying, according to the diffusion model, the difference in moisture content within the product is the driving force for moisture transfer (Bird et al, 2001; Crank, 1975; Moran & Higgins, 1970).…”