Abstract

The industrial preparation of pasteurized soft boiled eggs requires meticulous planning of the thermal process. Requirements on keeping the yolk liquid and on extinction of potential salmonella allow little leeway in the creation of this process. The variation of the eggs’ properties adds to the complexity. Thermal simulation of heat transfer within an egg is needed to get correlation data between transient temperature distribution and the egg’s dimensional and material properties. A fast simulator of conductive transient heat transfer with a fixed grid of cells is developed for this purpose. The motivation for achieving the highest simulation speed was the potential integration of a simulation tool for simulation based predictions into an embedded control system. The simulated volume is a cylinder. The simulated object (the egg) is defined within the cylinder. Simulation results are analysed and used in the creation of the thermal process which results in certified pasteurized soft boiled eggs. The presented approach to the design of transient simulation can be used for applications ranging beyond the transient thermal simulation of foods. It can be adapted for any transient simulation where the local temporal intensity of changes depends on gradients and the properties of the matter.

Highlights

  • Numerical methods of solving differential equations that describe real world events are just about as old as the differential calculus itself

  • We learned from the results of the thermal simulations that the heat-up time is significantly related to egg size, yolk size and water being cooled by the egg’s surface

  • The presented simulation framework can be used for simulations of conductive heat transfer in different technical fields

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Summary

Introduction

Numerical methods of solving differential equations that describe real world events are just about as old as the differential calculus itself. In such problems it is not necessary to aim at absolute mathematical exactness, because theoretical results that exceed in accuracy the tolerances of the best available observational instrumentation are not needed. Differentials may be substituted for finite differences This reduces practically insolvable problems in analysis to finite numerical calculations that can be done by computer. The Finite Elements Method (FEM) has been developed to this end. Optimal adaptation is essential in the battle between the steadily decreasing limitations of computers and our steadily increasing objectives

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