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Lattice Boltzmann modeling of the effective thermal conductivity for fibrous materials

A new approach for the estimation of temperature-dependent thermal properties by solving transient inverse heat conduction problems

Heat transfer—A review of 2005 literature

Estimation metrics and optimal regularization in a Tikhonov digital filter for the inverse heat conduction problem

Inverse heat conduction problem: Sensitivity coefficient insights, filter coefficients, and intrinsic verification

A sequential algorithm of inverse heat conduction problems using singular value decomposition

Two-dimensional non-linear inverse heat conduction problem based on the singular value decomposition

Carbon fibers can be considered cylindrically orthotropic. Depending on the arrangement of basal planes, predominant configurations are circumferential and radial, but in the core of the fiber, the alignment is undetectable, and consequently it is considered as transversely isotropic. In composites reinforced with these types of fibers, the effective thermal conductivity transverse to the fiber direction will be affected by the core and by the thermal resistance between the fiber and the matrix. The analytical models available are not adequate because they assume that the fiber is totally homogeneous.In this paper, a model of finite elements is presented, which allows combination of the effects of core with the cylindrical orthotropic of the fiber and the thermal contact resistance between the fiber and the matrix. The effective conductivity of composites with orthotropic and inhomogeneous fibers are compared to those with orthotropic and homogeneous fibers. This allows evaluation of the effect for the di...

Effect of cylindrically orthotropic carbon fibers with transversely isotropic core on effective thermal conductivity of unidirectional composites

Sequential methods that use future times in order to solve an inverse heat conduction problem can be re-formulated as a sequential digital filter algorithm. The aim of this paper is to explore the filter effect of the function specification method and the truncated singular value decomposition method, in a sequential form. For this purpose, the power spectral densities of the corresponding filter coefficients are evaluated and it is shown that they act as band-pass filter. Three numerical tests with different frequency spectra are considered in order to solve a linear one-dimensional transient inverse problem. Furthermore, three models of crescent complexity are used in each method. It is shown that both methods provide similar results and in most cases, the optimum estimations require the same number of future times. As it is expected, similar estimations correspond to a similar band-pass filter. The effect of the number of future times, the influence of the frequency spectrum of the input and the complexity of the model used can be clearly interpreted in the spectral space. The most complex models act as a highly selective band-pass filter, but they require greater number of future times. Copyright © 2008 John Wiley & Sons, Ltd.

Filter digital form of two future temperature methods for the inverse heat conduction: A spectral comparison

Reproduction, Fertility and Development is an international journal publishing original research , review and comment in the fields of reproduction and developmental biology in humans, domestic animals and wildlife 

José María Gutiérrez Cabeza

Papers

A sequential algorithm of inverse heat conduction problems using singular value decomposition

Two-dimensional non-linear inverse heat conduction problem based on the singular value decomposition

Effect of cylindrically orthotropic carbon fibers with transversely isotropic core on effective thermal conductivity of unidirectional composites

Filter digital form of two future temperature methods for the inverse heat conduction: A spectral comparison

140 Assisted activation of intracytoplasmic sperm injection porcine zygotes using zinc chelation