The present paper propound an analytical inverse method to calculate the heat transfer coefficient of cutting fluids in machining processes. This method starts by establishing an estimation of the heat sources in the transient heat conduction distribution in a rectangular domain with convective bounders in free convection. The non homogeneous partial differential equation (PDE) is solved by Integral Transform method. The test function for the heat generation term is obtained by modeling of chip geometry and thermomechanical cutting. Then the solution of PDE with heat generation term optimized is used to present an inverse problem to calculate the convective heat transfer coefficient. keyword: Heat conduction, Integral transform, Heat source, Inverse problem

background or methods

Boundary value problems of heat conduction

An Inverse Approach to Heat Transfer Coefficient Prediction Considering the Effect of Moving Heating Source in Machining Process

Additional excerpts

Development and extensions of stable and efficient alternating-direction-implicit / locally one-dimensional FDTD methods

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A parsimonious analytical model for simulating multispecies plume migration

In optical tomography of parallel projections, the light rays that cross the slice of the
object are experimentally approached to suffer minimal refraction, i.e. take refractional limits.
Generally, a media is used for immersion whose refractive index rate tied the environment to
study, but the geometry of the containment vessels also affects refraction and may be the case
that the approach is not subject performed. In this work we make a numerical study of the
refraction of a ray of light that enters a typical experimental system for studying the
thermodynamic behaviour of a paraffinic wax around their cloud point. Since it has special
properties in the heat capacity and refractive index near the phase transition, these results will
be used to characterize the transition and is intended to give tomographic information to the
study of thermal properties obtained using the T-History calorimetric technique. In this study,
we simulate the behaviour of the refraction of parallel rays crossing the T-History test system
to find the optimal values of the dimensions of the containment vessels and the index of
refraction of the medium for immersion, considering that the optical properties of the sample
under study vary with temperature. Thus, we obtain the optimum conditions of minimum
refraction technique for which reconstruction of a tomographic slice parallel projection can be
applied. The distribution of the linear attenuation coefficient on the slice of the object,
typically, is obtained by applying the filtered backprojection algorithm to the set of projections
(sinogram) obtained experimentally, which constitutes a way to detect mobile interfacial
boundaries in real time. The projections are sequentially measuring the intensity of the wave
emerging from the slice of the object at different angles.

Ray tracing to study of waxes around the cloud point by optical absorption tomography

In order to better understand the interaction of laser light with biological tissue, a light-transport model is integrated with a heat-transport model. The outputs include temperature as a function of position and time, given the illumination conditions and the optical and thermal properties of the tissue. The optical portion of the algorithm is based on the theory of radiative transfer through a turbid medium. Our computer program models multiple scattering in three dimensions using seven discrete irradiances which approximate the radiative transport equation. The distribution of absorbed light in the tissue is calculated and used as the source term in a discrete approximation to the thermal diffusion equation. Recently, we have been using the model to better understand the laser-heating of heterogeneous tissue. Rather than modeling a homogeneous mixture having properties given by weighted averages of those of tissue and blood, we model this medium as an array of blood vessels in a bloodless dermis background. We are currently analyzing temporal and spatial variations of temperature in homogeneous and heterogeneous tissue having identical blood concentrations. A particular application of the model is to the study of laser coagulation tonsillectomy.

Boundary value problems of heat conduction

Citations

An Inverse Approach to Heat Transfer Coefficient Prediction Considering the Effect of Moving Heating Source in Machining Process

Development and extensions of stable and efficient alternating-direction-implicit / locally one-dimensional FDTD methods

A parsimonious analytical model for simulating multispecies plume migration

Ray tracing to study of waxes around the cloud point by optical absorption tomography

3D model for laser heating of a heterogeneous turbid medium

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