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

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.

Thermal analysis of fire effects on fire doors using the finite element method

“…They can spread by direct flame or heat transfer. The fire resistance of the fire sector is the time during which the fire will not spread to the surrounding fire sectors or from the surrounding area to the observed fire sector [2,5]. The fire sector can be one room, several rooms or an entire building.…”

Coded Thermal Wave Imaging based Defect Detection in Composites using Neural Networks

“…Therefore, to minimize the essential security concerns and maintenance cost, a robust and consistent non-destructive testing (NDT) is necessary for testing of composite materials [1]. In general, NDT consists of various non-invasive inspection techniques [2][3] to assess the material properties and structural characteristics of the components, or entire processing units. The demand for material defect detection increases various challenges in NDT [4][5][6].…”

Cooling infinite rectangular plate with adiabatically isolated side wall under boundary conditions of the third kind

“…Нахождение решения задач такого класса связано со множеством математических трудностей. При этом существуют различные методы решения классических краевых задач нестационарной теплопроводности и задач обобщенного типа: метод произведения решений, метод разделения переменных (метод Фурье), метод интегральных преобразований, метод продолжений, метод функции Грина, операционный метод и метод источников [9]- [13]. В частности, для нестационарной и стационарной теплопроводности применяют метод Дюамеля.…”