# Thermal Simulation of the Fresh Food Compartment in a Domestic Refrigerator

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## Abstract

**:**

## 1. Introduction

#### Techniques for Designing the Fresh Food Compartment

## 2. Experimental Analysis

#### Instrumentation and Measurements

## 3. Unidimensional Interpolation

#### 3.1. Lagrange’s Interpolation

#### 3.2. Cubic Spline Interpolation

## 4. Multidimensional Interpolation

## 5. Computer Simulations and Results

#### 5.1. Temperature Mean

#### 5.2. Temperature Variance

## 6. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## References

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Name | Value |
---|---|

Net weight | 47 kg |

Total depth | 65.5 cm |

Total height | 169 cm |

Total width | 61.8 cm |

Defrost | Automatic |

Refrigerant | R134a |

Configuration | Top mount, two doors |

Shelf 1 | Shelf 2 | Temperature | Temperature |
---|---|---|---|

Location: ${\mathit{z}}_{1}$ (cm) | Location: ${\mathit{z}}_{2}$ (cm) | Mean ${}^{\circ}$C | Variance (${}^{\circ}$C)${}^{2}$ |

0 | 0 | 4.25 | 1.82 |

15 | 15 | 4.52 | 1.62 |

15 | 24.5 | 4.84 | 1.97 |

15 | 29.5 | 4.60 | 1.54 |

15 | 38.5 | 4.92 | 1.89 |

15 | 49.5 | 5.43 | 4.64 |

15 | 54.5 | 4.61 | 2.96 |

24.5 | 24.5 | 4.82 | 1.83 |

24.5 | 29.5 | 3.31 | 2.76 |

24.5 | 38.5 | 4.78 | 1.85 |

24.5 | 49.5 | 4.64 | 2.41 |

24.5 | 54.5 | 3.55 | 2.76 |

29.5 | 29.5 | 4.45 | 0.99 |

29.5 | 38.5 | 3.70 | 3.49 |

29.5 | 49.5 | 3.48 | 4.44 |

29.5 | 54.5 | 4.55 | 3.06 |

38.5 | 38.5 | 4.28 | 3.65 |

38.5 | 49.5 | 4.30 | 5.15 |

38.5 | 54.5 | 4.91 | 4.80 |

49.5 | 49.5 | 4.29 | 4.83 |

49.5 | 54.5 | 4.51 | 2.36 |

54.5 | 54.5 | 4.37 | 2.23 |

Interpolation | Validation 1 | Validation 2 | ||
---|---|---|---|---|

Mean ${}^{\circ}$C | Variance (${}^{\circ}$C)${}^{2}$ | Mean ${}^{\circ}$C | Variance (${}^{\circ}$C)${}^{2}$ | |

Experimental | 4.44 | 1.67 | 4.95 | 4.7 |

Lagrange’s | 5 | 1 | 3.25 | 5 |

Cubic spline | 4.4 | 1.4 | 4.95 | 5 |

Bilinear | 4.5 | 1.7 | 4.95 | 4.7 |

Interpolation | Validation 1 | Validation 2 | ||
---|---|---|---|---|

Mean (%) | Variance (%) | Mean (%) | Variance (%) | |

Lagrange’s | 12.61 | 40.12 | 34.34 | 6.38 |

Cubic spline | 0.90 | 16.17 | 0 | 6.38 |

Bilinear | 1.35 | 1.80 | 0 | 0 |

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## Share and Cite

**MDPI and ACS Style**

Belman-Flores, J.M.; Ledesma, S.; Gallegos-Muñoz, A.; Hernandez, D. Thermal Simulation of the Fresh Food Compartment in a Domestic Refrigerator. *Energies* **2017**, *10*, 128.
https://doi.org/10.3390/en10010128

**AMA Style**

Belman-Flores JM, Ledesma S, Gallegos-Muñoz A, Hernandez D. Thermal Simulation of the Fresh Food Compartment in a Domestic Refrigerator. *Energies*. 2017; 10(1):128.
https://doi.org/10.3390/en10010128

**Chicago/Turabian Style**

Belman-Flores, Juan M., Sergio Ledesma, Armando Gallegos-Muñoz, and Donato Hernandez. 2017. "Thermal Simulation of the Fresh Food Compartment in a Domestic Refrigerator" *Energies* 10, no. 1: 128.
https://doi.org/10.3390/en10010128