A derivation is given of the Green's function solution for the linear, transient heat conduction equation including the m 2 T term. The solution is given in a form that explicitly and separately includes five k
Dirac’s delta belongs to a class of objects termed distribution, being a generalization of the concept of a function. Though it is not a rigorous terminology, Dirac’s delta is often referred to as a function. The simplest definition of\( \delta \)reads $$ \delta (x-{x}^{\prime})=...
We present three time discretization schemes for the Green element solution of the linear conduction equation. Numerical results obtained from the three methods are assessed by their convergence and stability-related properties, namely, numerical amplitude and amplification factor through Fourier analysis. ...
The Green's function method (GFM) was applied to facilitate analytical solution of the advection–dispersion equation (ADE) for solute transport in uniform porous media with steady one- or two-dimensional flow. The GFM conveniently handles different boundary and initial conditions as well as multi-...
point heat source interacting with a homogeneous imperfect interface. Our approach is a straightforward extension of that of Sommerfeld who addressed the half-space Green’s function for a steady point heat source at the beginning of the last century. Both weakly and highly conducting type imperfect...
gral equation, boundary element methods (Mura, 1982; Lin and Keer, 1989; Hwu and Yen, 1991; Qin and Mai, 1997, in press). For plane anisotro- pic material without thermal eect, Hwu and Yen (1991) obtained a simple Green's function for an elliptic hole in an in®nite anisotro...
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We use essential cookies to make sure the site can function. We also use optional cookies for advertising, personalisation of content, usage analysis, and social media. By accepting optional cookies, you consent to the processing of your personal data - including transfers to third parties. Some...
We use essential cookies to make sure the site can function. We also use optional cookies for advertising, personalisation of content, usage analysis, and social media. By accepting optional cookies, you consent to the processing of your personal data - including transfers to third parties. Some...
The temperature over time was recorded in a txt file, making it possible to determine the parameters of a function that represents the thermal diffusivity, using an optimization technique, which also required a three-dimensional numerical solution of the heat conduction equation. Among the functions ...