Analytical Solutions for Tomato Peeling withCombined Heat Flux and Convective Boundary Conditions

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Analytical Solutions for Tomato Peeling withCombined Heat Flux and Convective Boundary Conditions

June 7, 2021 Physical Science 0

Radiative heating is a viable alternative to steam or lye, which are both expensive and polluting ways for peeling tomatoes. In order to realise short-time operations using only a tiny layer underneath the tomato surface, suitable energy densities are necessary. The goal of this study is to forecast the temperature field in rotating tomatoes that have been exposed to source irradiation. As a result, a 1D unsteady analytical model including a semi-infinite slab subjected to time-dependent heating and convective heat transfer on the exposed surface is described. The heat source is described as the positive half-wave of a sinusoidal function to account for tomato rotation. The solution is derived using the Laplace Transform Method because the issue is linear. In addition, a simple solution for the problem is offered, which requires a differentiable function for approximating the source while ignoring convective cooling, which turns out to be insignificant in the context at hand. As a limiting situation, the thermal response fully recovers the temperature field due to a sinusoidally fluctuating heat source. Because there is a satisfactory agreement between the two analytical solutions, a simple process for the proper design of the dry heating system may be established without the use of numerical simulations.

Author(s) Details

G. Cuccurullo
Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy.

L. Giordano
Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy.

A. Metallo
Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy.

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