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Unified Analysis and Solutions of Heat and Mass Diffusion
Mikhailov,M.N. Ozisik +1 more
TLDR
In this paper, the authors present several generalized analytical methods of solution for a variety of commonly incurred heat transfer problems, including time-dependent, linear heat-oriented, or involve mass diffusion.Abstract:
This text presents several generalized analytical methods of solution for a variety of classes of commonly incurred heat transfer problems. It covers problems that are time-dependent, linear heat-oriented, or involve mass diffusion.read more
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Nonlocal Linear Image Regularization and Supervised Segmentation
Guy Gilboa,Stanley Osher +1 more
TL;DR: The steepest descent for minimizing the functional is interpreted as a nonlocal diffusion process, which allows a convenient framework for nonlocal variational minimizations, including variational denoising, Bregman iterations, and the recently proposed inverse scale space.
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Self-similar solution of a plane-strain fracture driven by a power-law fluid
Jose Adachi,Emmanuel Detournay +1 more
TL;DR: In this article, a hydraulically driven fracture propagating in an impermeable, linear elastic medium is analyzed, where the fracture is driven by injection of an incompressible, viscous fluid with power-law rheology and behaviour index n⩾ 0.
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Slip-flow heat transfer in circular tubes
TL;DR: In this paper, the influence of rarefaction on heat transfer in circular tubes is studied and a spatial rescaling factor is introduced to identify similarities with the classical Graetz problem, and a uniform asymptotic approximation to high order eigenfunctions is derived that allows an eAcient and accurate determination of the region close to the entrance.
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Analytical solution of the advection–diffusion transport equation using a change-of-variable and integral transform technique
TL;DR: In this paper, the authors presented a formal exact solution of the linear advection-diffusion transport equation with constant coefficients for both transient and steady-state regimes, which was solved analytically using the classic version of Generalized Integral Transform Technique.
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Coupled heat and moisture transfer in multi-layer building materials
TL;DR: In this paper, a dynamic mathematical model for simulating the coupled heat and moisture migration through multi-layer porous building materials was proposed, and the discretization of the governing equations was done by the finite difference approach.