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How does cooking time scale with size? A numerical modeling approach.

S H Lee1, A K Datta, M A Rao

  • 1Dept. of Food Science, Cornell Univ., Ithaca, NY 14850, USA.

Journal of Food Science
|November 13, 2007
PubMed
Summary
This summary is machine-generated.

A new model predicts how food

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Area of Science:

  • Food science and engineering
  • Materials science
  • Mathematical modeling

Background:

  • Understanding changes in food's mechanical properties during cooking is crucial for process control.
  • Existing models often simplify spatial variations in material properties.
  • Cooking automation requires accurate prediction of material property evolution.

Purpose of the Study:

  • To develop a thermokinetic model for predicting spatially distributed mechanical properties in solid foods during cooking.
  • To analyze the impact of spatial property variations on effective material properties and cooking times.
  • To assess the utility of volume-averaged properties as a substitute for effective properties.

Main Methods:

  • Combined a numerical conduction heat transfer model with reaction kinetics for property changes.
  • Performed linear elastic stress analysis on spatially distributed mechanical properties.
  • Investigated potato as a model food system.

Main Results:

  • Significant spatial variation in mechanical properties (Young's modulus, texture) was observed in potato.
  • Volume-averaged properties can effectively substitute for complex effective properties derived from stress analysis.
  • Cooking time scaling with size is less sensitive to variations in Young's modulus than temperature.
  • Lower activation energy in property change kinetics reduces cooking time dependency on size.

Conclusions:

  • The developed thermokinetic model accurately predicts spatial mechanical property changes during cooking.
  • Volume-averaged properties offer a practical approach for estimating effective material properties.
  • Findings provide guidelines for optimizing and automating cooking processes based on food size and kinetic parameters.