IIR document

Multidimensional freezing time using a pseudo-one-dimensional method.

Author(s) : FERREIRA S. R.

Type of article: IJR article

Summary

This study presents a method to calculate the freezing time of multidimensional objects using a pseudo-one-dimensional method. For example, the temperature of a rectangle in can be simulated from the two-dimensional heat conduction equation to obtain a pseudo-one-dimensional temperature , using the space grid (where ) and as references. This procedure can be used to calculate the freezing time at a selected point, such as the center of an object. A computer program with a runtime similar to that of a one-dimensional problem has been developed for the proposed model. The freezing times () of 212 multidimensional objects (parallelepipeds, rectangles, and finite cylinders) were then compared with the experimental freezing times (. The calculations yielded the following parameters for all 212 objects: minimum error , mean error , maximum error , standard deviation , and mean absolute error . The freezing times () of 100 multidimensional objects (parallelepipeds and rectangles) were then compared with the freezing times of computational experiments (computational simulation) obtained from the literature using the finite element method (. The calculations yielded the following parameters for all 100 objects: , , , , and .

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Pages: 84-97

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Details

  • Original title: Multidimensional freezing time using a pseudo-one-dimensional method.
  • Record ID : 30032591
  • Languages: English
  • Subject: Technology
  • Source: International Journal of Refrigeration - Revue Internationale du Froid - vol. 166
  • Publication date: 2024/10
  • DOI: http://dx.doi.org/10.1016/j.ijrefrig.2024.06.020

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