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Article

Optimizing ATP Isothermal Tests: A Theoretical and Experimental Approach

by
Juan P. Martínez-Val Piera
1,† and
Alberto Ramos Millán
2,*,†
1
Túnel de Frío, Fundación para el Fomento de la Innovación Industrial, Eric Kandel, 1, 28906 Getafe, Madrid, Spain
2
Department of Energy and Fuels, Universidad Politécnica de Madrid, Alenza, 4, 28003 Madrid, Spain
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Entropy 2026, 28(1), 47; https://doi.org/10.3390/e28010047 (registering DOI)
Submission received: 11 November 2025 / Revised: 17 December 2025 / Accepted: 19 December 2025 / Published: 30 December 2025

Abstract

The International Agreement on the Carriage of Perishable Foodstuffs and on the Special Equipment to Be Used for Such Carriage (usually known as ATP Treaty) defines a standardized isothermal test for qualifying refrigerated containers, but its current protocol is lengthy, costly and lacks scientific justification. This paper presents a combined theoretical and experimental study aimed at optimizing this procedure. First, a heat-transfer framework based on transient conduction and thermal diffusivity is developed to estimate stabilization times using dimensionless criteria. Then, extensive experimental tests on ATP containers validate these predictions and reveal additional phenomena such as air leakage and chimney effects. Based on these findings, a revised protocol is proposed that reduces the test duration from more than 18 h to approximately 2 h while preserving the thermal stabilization conditions required by ATP. Experimental results show that the uncertainty in the determination of the global heat-transfer coefficient K is reduced from about 2–2.3% in the classical ATP procedure to roughly 0.71.0% with the new protocol. In addition, the method suppresses secondary physical effects—such as chimney-driven air leakage and latent-heat losses due to water evaporation—thus improving the physical representativeness of the measured K value. The proposed accelerated protocol offers a scientifically grounded, cost-effective alternative for future ATP standards.
Keywords: optimization; transportation; controlled temperature; isothermal tests; ATP; energy optimization optimization; transportation; controlled temperature; isothermal tests; ATP; energy optimization

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MDPI and ACS Style

Martínez-Val Piera, J.P.; Ramos Millán, A. Optimizing ATP Isothermal Tests: A Theoretical and Experimental Approach. Entropy 2026, 28, 47. https://doi.org/10.3390/e28010047

AMA Style

Martínez-Val Piera JP, Ramos Millán A. Optimizing ATP Isothermal Tests: A Theoretical and Experimental Approach. Entropy. 2026; 28(1):47. https://doi.org/10.3390/e28010047

Chicago/Turabian Style

Martínez-Val Piera, Juan P., and Alberto Ramos Millán. 2026. "Optimizing ATP Isothermal Tests: A Theoretical and Experimental Approach" Entropy 28, no. 1: 47. https://doi.org/10.3390/e28010047

APA Style

Martínez-Val Piera, J. P., & Ramos Millán, A. (2026). Optimizing ATP Isothermal Tests: A Theoretical and Experimental Approach. Entropy, 28(1), 47. https://doi.org/10.3390/e28010047

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