37,248 research outputs found
Inverse heat conduction problems by using particular solutions
Based on the method of fundamental solutions, we develop in this paper a new computational method to solve two-dimensional transient heat conduction inverse problems. The main idea is to use particular solutions as radial basis functions (PSRBF) for approximation of the solutions to the inverse heat conduction problems. The heat conduction equations are first analyzed in the Laplace transformed domain and the Durbin inversion method is then used to determine the solutions in the time domain. Least-square and singular value decomposition (SVD) techniques are adopted to solve the ill-conditioned linear system of algebraic equations obtained from the proposed PSRBF method. To demonstrate the effectiveness and simplicity of this approach, several numerical examples are given with satisfactory accuracy and stability.Peer reviewe
Lateral conduction effects on heat-transfer data obtained with the phase-change paint technique
A computerized tool, CAPE, (Conduction Analysis Program using Eigenvalues) has been developed to account for lateral heat conduction in wind tunnel models in the data reduction of the phase-change paint technique. The tool also accounts for the effects of finite thickness (thin wings) and surface curvature. A special reduction procedure using just one time of melt is also possible on leading edges. A novel iterative numerical scheme was used, with discretized spatial coordinates but analytic integration in time, to solve the inverse conduction problem involved in the data reduction. A yes-no chart is provided which tells the test engineer when various corrections are large enough so that CAPE should be used. The accuracy of the phase-change paint technique in the presence of finite thickness and lateral conduction is also investigated
On some nondecaying potentials and related Jost solutions for the heat conduction equation
Potentials of the heat conduction operator constructed by means of 2 binary
Backlund transformations are studied in detail. Corresponding Darboux
transformations of the Jost solutions are introduced. We show that these
solutions obey modified integral equations and present their analyticity
properties.Comment: LaTex, 17 pages, no figures, to appear on Inverse Problem
Deviation from the Fourier law in room-temperature heat pulse experiments
We report heat pulse experiments at room temperature that cannot be described
by Fourier's law. The experimental data is modelled properly by the
Guyer--Krumhansl equation, in its over-diffusion regime. The phenomenon is due
to conduction channels with differing conductivities, and parallel to the
direction of the heat flux.Comment: 9 pages, 4 figure
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