Parameter estimation in moist capillary porous media by using temperature measurements

Dantas, L.B.; Orlande, Helcio R. B.; Cotta, Renato M.; Lobo, P. D.

doi:10.1016/b978-008043693-7/50078-7

Cited by 7 publications

(9 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The use of inverse analysis techniques permits the estimation of several of such parameters, from the knowledge of temperature and moisture content measurements taken in the media. The direct problem solution paths above discussed may also be employed in different inverse problem analysis for drying of capillary porous media [25][26][27][28][29]. The present approach also adds up to a class of simplification tools related to model reduction [30,31], and their combined use might offer novel solution paths with further reduction in computational cost.…”

Section: Discussionmentioning

confidence: 98%

Improved lumped-differential formulations and hybrid solution methods for drying in porous media

Dantas

Orlande

Cotta

2007

International Journal of Thermal Sciences

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 98%

Improved lumped-differential formulations and hybrid solution methods for drying in porous media

Dantas

Orlande

Cotta

2007

International Journal of Thermal Sciences

View full text Add to dashboard Cite

“…for the temperature and moisture sensitivity functions with respect to e, Eqs. (11)(12)(13)(14)(15)(16)(17)(18), and finally,…”

Section: Dlðqþ¼à2mentioning

confidence: 99%

“…Recently, several articles dealing with the solution of the inverse problem of coupled heat and mass transfer have appeared in the literature [2][3][4][5][6][7][8][9][10][11][12]. In these articles, both parameter and=or function estimation approaches are used in the solution of these inverse problems by using temperature and=or moisture measurements.…”

Section: Introductionmentioning

confidence: 99%

Optimal Heat Input for Estimating Luikov's Parameters in a Heat and Mass Transfer Problem

Bensefia

Boussaid

Loulou

2011

Numerical Heat Transfer, Part B: Fundamentals

View full text Add to dashboard Cite

International audienceIn this article, the problem of computing an optimal heat input in Luikov's heat and mass transfer problem is detailed and analyzed. The main objective is the establishment of an optimal time-dependent heat flux profile with the goal of maximizing the temperature and moisture sensitivities of some parameters to this excitation in a drying process. Such maximization makes the estimation of the desired parameters possible, easier, and with limited uncertainty intervals. It also helps to reduce the linearity dependence between the parameters of interest and the number of temperature and moisture sensors used. The estimation of the optimal heat input is obtained with Uzawa's algorithm, while the estimation of parameters is performed with Levenberg-Marquardt's method of minimization of the ordinary least-square criterion. The six dimensionless parameters characterizing Luikov's equations are estimated successfully with this optimal heat flux profile, which also helps to reduce the number of both temperature and moisture sensors needed in the estimation procedure. By doing so, the objective of estimating simultaneously the six parameters which appear in the formulation of Luikov's physical problem is reached by using a limited transient temperature and/or moisture measurements taken anywhere in the drying medium

show abstract

“…Different methods based on such an approach have been successfully used in the past for the estimation of parameters and functions, in linear and non-linear inverse problems [3][4][5]. Recently, several articles dealing with the solution of inverse problems of coupled heat and mass transfer appeared in the literature [6][7][8][9][10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Simultaneous estimation of the spacewise and timewise variations of mass and heat transfer coefficients in drying

Saker

Orlande

Huang

et al. 2006

Inverse Problems in Science and Engineering

View full text Add to dashboard Cite

In this article, the conjugate gradient method with adjoint problem is applied for the identification of the heat and mass transfer coefficients at the surface of drying capillary-porous bodies. The unknown functions are supposed to vary in time and along the surface open to the surrounding environment. The inverse problem is solved by considering either the heat or the mass transfer coefficients as unknown, as well as by considering simultaneously both functions as unknown. The effects of temperature and moisture content measurements on the inverse analysis are examined. A comparison of different versions of the conjugate gradient method is also presented as applied to the inverse problem under study.

show abstract

Parameter estimation in moist capillary porous media by using temperature measurements

Cited by 7 publications

References 9 publications

Improved lumped-differential formulations and hybrid solution methods for drying in porous media

Improved lumped-differential formulations and hybrid solution methods for drying in porous media

Optimal Heat Input for Estimating Luikov's Parameters in a Heat and Mass Transfer Problem

Simultaneous estimation of the spacewise and timewise variations of mass and heat transfer coefficients in drying

Contact Info

Product

Resources

About