Finite-Element Simulation for Thermal Modeling of a Cell in an Adiabatic Calorimeter

José Eli Eduardo González-Durán, Juvenal Rodríguez-Reséndiz, Juan Manuel Olivares Ramirez, Marco Antonio Zamora-Antuñano and Leonel Lira-Cortes
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José Eli Eduardo González-Durán: Instituto Tecnológico Superior del Sur de Guanajuato, Guanajuato 38980, Mexico
Juvenal Rodríguez-Reséndiz: Facultad de Ingeniería, Universidad Autónoma de Querétaro, Querétaro 76010, Mexico
Juan Manuel Olivares Ramirez: Universidad Tecnológica de San Juan del Río, San Juan del Río 76800, Mexico
Marco Antonio Zamora-Antuñano: Departamento de Ingeniería, Universidad del Valle de Mexico, Querétaro 76230, Mexico
Leonel Lira-Cortes: Centro Nacional de Metrología, El Marques 76246, Mexico

Energies, 2020, vol. 13, issue 9, 1-12

Abstract: This research obtains a mathematical formulation to determine the heat transfer in a transient state, in a calorimeter cell, considering an adiabatic system. The development of the cell was established and the mathematical model was transiently solved, which approximated the physical phenomenon under the cell operation. A numerical method for complex geometries was used to validate performance. The results obtained in the transient heat transfer in a cylinder under boundary and initial conditions were compared using an analytical solution and numerical analysis employing the finite-element method with commercial software. The study from the temperature distribution can afford, selection between a cylindrical and spherical geometry, design criteria that are generated by changing parameters such as dimension, temperature, and working fluids to develop an adiabatic calorimeter to measure the heat capacity in fluids. We show the mathematical solution with its initial and boundary conditions as well as a comparison with a numerical solution for a cylindrical cell with a maximum error from 0.075% in the temperature value, along with a theoretical and numerical analysis for a temperature difference of 1 °C.

Keywords: adiabatic calorimetry; numerical simulation; heat capacity; finite-element method; heat transfer (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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