Heat Capacity Method

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Renaud Delannay - One of the best experts on this subject based on the ideXlab platform.

  • Coupling Heat conduction and water-steam flow in a saturated porous medium
    International Journal for Numerical Methods in Engineering, 2011
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March, Renaud Delannay
    Abstract:

    This paper is devoted to the simulation of water forced evaporation in a porous saturated medium in a 3D-axisymmetric domain by resolution of partial differential algebraic equations (PDAE) that are encountered in different engineering applications. The goal of this paper is an attempt to present effective realizations, in order to determine the minimal duration of burning for prehistoric occupations. This multidisciplinary work includes scientists in Mathematics, Physics and Archaeology. The model proposed here couples the Heat conduction in a water saturated soil with the water steam flow in the medium. We propose an efficient and robust global numerical Method, based on a Method of lines and differential algebraic equations (DAE) solvers, combined with a Newton Method using a powerful sparse linear solver. After a brief overview of classes for numerical techniques applied for moving boundary problems, the Apparent Heat Capacity Method (AHC) is used, and in order to validate our codes, a comparison with experiments is done.

  • Coupling Heat conduction and water–steam flow in a saturated porous medium
    International Journal for Numerical Methods in Engineering, 2010
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March, Renaud Delannay
    Abstract:

    This paper is devoted to the simulation of water forced evaporation in a porous saturated medium in a 3D-axisymmetric domain by resolution of partial differential algebraic equations (PDAE) that are encountered in different engineering applications. The goal of this paper is an attempt to present effective realizations, in order to determine the minimal duration of burning for prehistoric occupations. This multidisciplinary work includes scientists in Mathematics, Physics and Archaeology. The model proposed here couples the Heat conduction in a water saturated soil with the water steam flow in the medium. We propose an efficient and robust global numerical Method, based on a Method of lines and differential algebraic equations (DAE) solvers, combined with a Newton Method using a powerful sparse linear solver. After a brief overview of classes for numerical techniques applied for moving boundary problems, the Apparent Heat Capacity Method (AHC) is used, and in order to validate our codes, a comparison with experiments is done.

Mohamad Muhieddine - One of the best experts on this subject based on the ideXlab platform.

  • Identification of the Thermophysical Properties of the Soil by Inverse Problem
    Journal of Heat Transfer, 2016
    Co-Authors: S Mansour, Édouard Canot, Mohamad Muhieddine
    Abstract:

    This paper introduces a numerical strategy to estimate the thermophysical properties of a saturated porous medium (volumetric Heat Capacity (ρC)s , thermal conductivity λs and porosity φ) where a phase change problem (liquid/vapor) appears due strong Heating. The estimation of these properties is done by inverse problem knowing the Heating curves at selected points of the medium. To solve the inverse problem, we use both the Damped Gauss Newton and the Levenberg Marquardt Methods to deal with high nonlinearity of the system and to tackle the problem with large residuals. We use the Method of lines, where time and space discretizations are considered separately. Special attention has been paid to the choice of the regularization parameter of the Apparent Heat Capacity Method which may prevent the convergence of the inverse problem.

  • Estimation of the Thermophysical Properties of the Soil by Inverse Problem, using Experimental Data during Liquid/Vapour Phase Change
    2015
    Co-Authors: S Mansour, Mohamad Muhieddine, Édouard Canot, R March, José Agustin Cordero
    Abstract:

    In this work, we introduce a numerical strategy to estimate the thermophysical properties of the soil of a saturated porous medium where a phase change problem (liquid/vapour) appears due to intense Heating from above. An inverse problem is used to estimate these properties knowing the experimental Heating history curves at selected positions of the porous medium throughout the whole Heating duration. We use the Apparent Heat Capacity Method (AHC) to deal with the phase change problem in which the phase change temperature interval plays an important role.

  • Coupling Heat conduction and water-steam flow in a saturated porous medium
    International Journal for Numerical Methods in Engineering, 2011
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March, Renaud Delannay
    Abstract:

    This paper is devoted to the simulation of water forced evaporation in a porous saturated medium in a 3D-axisymmetric domain by resolution of partial differential algebraic equations (PDAE) that are encountered in different engineering applications. The goal of this paper is an attempt to present effective realizations, in order to determine the minimal duration of burning for prehistoric occupations. This multidisciplinary work includes scientists in Mathematics, Physics and Archaeology. The model proposed here couples the Heat conduction in a water saturated soil with the water steam flow in the medium. We propose an efficient and robust global numerical Method, based on a Method of lines and differential algebraic equations (DAE) solvers, combined with a Newton Method using a powerful sparse linear solver. After a brief overview of classes for numerical techniques applied for moving boundary problems, the Apparent Heat Capacity Method (AHC) is used, and in order to validate our codes, a comparison with experiments is done.

  • Coupling Heat conduction and water–steam flow in a saturated porous medium
    International Journal for Numerical Methods in Engineering, 2010
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March, Renaud Delannay
    Abstract:

    This paper is devoted to the simulation of water forced evaporation in a porous saturated medium in a 3D-axisymmetric domain by resolution of partial differential algebraic equations (PDAE) that are encountered in different engineering applications. The goal of this paper is an attempt to present effective realizations, in order to determine the minimal duration of burning for prehistoric occupations. This multidisciplinary work includes scientists in Mathematics, Physics and Archaeology. The model proposed here couples the Heat conduction in a water saturated soil with the water steam flow in the medium. We propose an efficient and robust global numerical Method, based on a Method of lines and differential algebraic equations (DAE) solvers, combined with a Newton Method using a powerful sparse linear solver. After a brief overview of classes for numerical techniques applied for moving boundary problems, the Apparent Heat Capacity Method (AHC) is used, and in order to validate our codes, a comparison with experiments is done.

  • Various Approaches for Solving Problems in Heat Conduction with Phase Change
    2009
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March
    Abstract:

    This paper treats a one dimensional phase-change problem, 'ice melting', by a vertex-centered finite volume Method. Numerical solutions are obtained by using two approaches where the first one is based on the Heat conduction equation with the fixed grid, latent Heat source approach (LHA), while the second uses the equivalent thermodynamic parameters defined by considering the apparent Heat Capacity Method (AHC). A comparison between the two approaches is presented, furthermore the accuracy and flexibility of the numerical Methods are verified by comparing the results with existing analytical solutions. Results indicate that one phase-change problems can be handled easily with excellent accuracies by using the AHC Method.

Édouard Canot - One of the best experts on this subject based on the ideXlab platform.

  • Identification of the Thermophysical Properties of the Soil by Inverse Problem
    Journal of Heat Transfer, 2016
    Co-Authors: S Mansour, Édouard Canot, Mohamad Muhieddine
    Abstract:

    This paper introduces a numerical strategy to estimate the thermophysical properties of a saturated porous medium (volumetric Heat Capacity (ρC)s , thermal conductivity λs and porosity φ) where a phase change problem (liquid/vapor) appears due strong Heating. The estimation of these properties is done by inverse problem knowing the Heating curves at selected points of the medium. To solve the inverse problem, we use both the Damped Gauss Newton and the Levenberg Marquardt Methods to deal with high nonlinearity of the system and to tackle the problem with large residuals. We use the Method of lines, where time and space discretizations are considered separately. Special attention has been paid to the choice of the regularization parameter of the Apparent Heat Capacity Method which may prevent the convergence of the inverse problem.

  • Estimation of the Thermophysical Properties of the Soil by Inverse Problem, using Experimental Data during Liquid/Vapour Phase Change
    2015
    Co-Authors: S Mansour, Mohamad Muhieddine, Édouard Canot, R March, José Agustin Cordero
    Abstract:

    In this work, we introduce a numerical strategy to estimate the thermophysical properties of the soil of a saturated porous medium where a phase change problem (liquid/vapour) appears due to intense Heating from above. An inverse problem is used to estimate these properties knowing the experimental Heating history curves at selected positions of the porous medium throughout the whole Heating duration. We use the Apparent Heat Capacity Method (AHC) to deal with the phase change problem in which the phase change temperature interval plays an important role.

  • Coupling Heat conduction and water-steam flow in a saturated porous medium
    International Journal for Numerical Methods in Engineering, 2011
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March, Renaud Delannay
    Abstract:

    This paper is devoted to the simulation of water forced evaporation in a porous saturated medium in a 3D-axisymmetric domain by resolution of partial differential algebraic equations (PDAE) that are encountered in different engineering applications. The goal of this paper is an attempt to present effective realizations, in order to determine the minimal duration of burning for prehistoric occupations. This multidisciplinary work includes scientists in Mathematics, Physics and Archaeology. The model proposed here couples the Heat conduction in a water saturated soil with the water steam flow in the medium. We propose an efficient and robust global numerical Method, based on a Method of lines and differential algebraic equations (DAE) solvers, combined with a Newton Method using a powerful sparse linear solver. After a brief overview of classes for numerical techniques applied for moving boundary problems, the Apparent Heat Capacity Method (AHC) is used, and in order to validate our codes, a comparison with experiments is done.

  • Coupling Heat conduction and water–steam flow in a saturated porous medium
    International Journal for Numerical Methods in Engineering, 2010
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March, Renaud Delannay
    Abstract:

    This paper is devoted to the simulation of water forced evaporation in a porous saturated medium in a 3D-axisymmetric domain by resolution of partial differential algebraic equations (PDAE) that are encountered in different engineering applications. The goal of this paper is an attempt to present effective realizations, in order to determine the minimal duration of burning for prehistoric occupations. This multidisciplinary work includes scientists in Mathematics, Physics and Archaeology. The model proposed here couples the Heat conduction in a water saturated soil with the water steam flow in the medium. We propose an efficient and robust global numerical Method, based on a Method of lines and differential algebraic equations (DAE) solvers, combined with a Newton Method using a powerful sparse linear solver. After a brief overview of classes for numerical techniques applied for moving boundary problems, the Apparent Heat Capacity Method (AHC) is used, and in order to validate our codes, a comparison with experiments is done.

  • Various Approaches for Solving Problems in Heat Conduction with Phase Change
    2009
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March
    Abstract:

    This paper treats a one dimensional phase-change problem, 'ice melting', by a vertex-centered finite volume Method. Numerical solutions are obtained by using two approaches where the first one is based on the Heat conduction equation with the fixed grid, latent Heat source approach (LHA), while the second uses the equivalent thermodynamic parameters defined by considering the apparent Heat Capacity Method (AHC). A comparison between the two approaches is presented, furthermore the accuracy and flexibility of the numerical Methods are verified by comparing the results with existing analytical solutions. Results indicate that one phase-change problems can be handled easily with excellent accuracies by using the AHC Method.

A. Khosravifard - One of the best experts on this subject based on the ideXlab platform.

  • Investigating the effects of mushy zone thickness on residual stresses in alloy solidification
    Meccanica, 2018
    Co-Authors: R. Vaghefi, Mohammad Rahim Hematiyan, Ali Nayebi, A. Khosravifard
    Abstract:

    A thermo-elasto-plastic analysis is performed to study the effect of mushy zone thickness on residual stress formation in alloy solidification. Specific Heat flux distributions on the model boundaries are predicted in order to achieve pre-defined mushy zone thicknesses. The effective Heat Capacity Method is utilized for the thermal analysis of the solidification process. The von-Mises criterion with a hardening model and stress–strain power law is employed to describe the elasto-plastic behavior. Material parameters are assumed to be temperature dependent and required analyses are made using the meshless local Petrov–Galerkin Method. Several numerical examples are presented to calculate the temperature and stress fields developed in the material undergoing solidification. Under the assumed conditions, we conclude that the mushy zone thickness does not play a significant role in the development of residual stresses in the cast material. Moreover, it is shown that the solidification time can be reduced without having a significant effect on the residual stresses.

  • A parametric study of the MLPG Method for thermo-mechanical solidification analysis
    Engineering Analysis with Boundary Elements, 2018
    Co-Authors: R. Vaghefi, Mohammad Rahim Hematiyan, Ali Nayebi, A. Khosravifard
    Abstract:

    Abstract Based on the meshless local Petrov–Galerkin (MLPG) Method, a thermo-elasto-plastic analysis of solidification problem is presented. The effect of significant parameters of the MLPG Method, including the size and shape of sub-domain and support domain, nodal arrangement, nodal density and Gaussian points on the solution accuracy of the problems is investigated to determine their optimal values. The local weak forms are derived by considering a Heaviside step function as the test function. To interpolate the solution variables, the moving least-squares (MLS) approximation is applied. Using the effective Heat Capacity Method, thermal analysis of the solidification process is performed. The von-Mises yield criterion and isotropic hardening model are employed for the elasto-plastic behavior, and material parameters are assumed to be temperature-dependent. To demonstrate the capability of the present Method in solving solidification problems, the obtained results have been compared with the analytical and accurate finite element Method solutions.

Ramiro Javier March - One of the best experts on this subject based on the ideXlab platform.

  • Coupling Heat conduction and water-steam flow in a saturated porous medium
    International Journal for Numerical Methods in Engineering, 2011
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March, Renaud Delannay
    Abstract:

    This paper is devoted to the simulation of water forced evaporation in a porous saturated medium in a 3D-axisymmetric domain by resolution of partial differential algebraic equations (PDAE) that are encountered in different engineering applications. The goal of this paper is an attempt to present effective realizations, in order to determine the minimal duration of burning for prehistoric occupations. This multidisciplinary work includes scientists in Mathematics, Physics and Archaeology. The model proposed here couples the Heat conduction in a water saturated soil with the water steam flow in the medium. We propose an efficient and robust global numerical Method, based on a Method of lines and differential algebraic equations (DAE) solvers, combined with a Newton Method using a powerful sparse linear solver. After a brief overview of classes for numerical techniques applied for moving boundary problems, the Apparent Heat Capacity Method (AHC) is used, and in order to validate our codes, a comparison with experiments is done.

  • Coupling Heat conduction and water–steam flow in a saturated porous medium
    International Journal for Numerical Methods in Engineering, 2010
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March, Renaud Delannay
    Abstract:

    This paper is devoted to the simulation of water forced evaporation in a porous saturated medium in a 3D-axisymmetric domain by resolution of partial differential algebraic equations (PDAE) that are encountered in different engineering applications. The goal of this paper is an attempt to present effective realizations, in order to determine the minimal duration of burning for prehistoric occupations. This multidisciplinary work includes scientists in Mathematics, Physics and Archaeology. The model proposed here couples the Heat conduction in a water saturated soil with the water steam flow in the medium. We propose an efficient and robust global numerical Method, based on a Method of lines and differential algebraic equations (DAE) solvers, combined with a Newton Method using a powerful sparse linear solver. After a brief overview of classes for numerical techniques applied for moving boundary problems, the Apparent Heat Capacity Method (AHC) is used, and in order to validate our codes, a comparison with experiments is done.

  • Various Approaches for Solving Problems in Heat Conduction with Phase Change
    2009
    Co-Authors: Mohamad Muhieddine, Édouard Canot, Ramiro Javier March
    Abstract:

    This paper treats a one dimensional phase-change problem, 'ice melting', by a vertex-centered finite volume Method. Numerical solutions are obtained by using two approaches where the first one is based on the Heat conduction equation with the fixed grid, latent Heat source approach (LHA), while the second uses the equivalent thermodynamic parameters defined by considering the apparent Heat Capacity Method (AHC). A comparison between the two approaches is presented, furthermore the accuracy and flexibility of the numerical Methods are verified by comparing the results with existing analytical solutions. Results indicate that one phase-change problems can be handled easily with excellent accuracies by using the AHC Method.