Effect of spherical pores coalescence on the overall conductivity of a material
| Autor: | Enrico Radi, Luca Lanzoni, Igor Sevostianov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Materials science
Legendre functions 02 engineering and technology symbols.namesake 0203 mechanical engineering Toroidal coordinates Electrical resistivity and conductivity Laplace's equation Double-sphere pore Temperature field Conductivity General Materials Science Tensor Instrumentation Coalescence (physics) Condensed matter physics Double-sphere pore Temperature field Conductivity Legendre functions Toroidal coordinates Laplace's equation Isotropy Radius 021001 nanoscience & nanotechnology 020303 mechanical engineering & transports Heat flux Mechanics of Materials symbols Gaussian quadrature SPHERES 0210 nano-technology |
| Popis: | The problem about steady-state temperature distribution in a homogeneous isotropic medium containing a pore or an insulating inhomogeneity formed by two coalesced spheres of the same radius, under arbitrarily oriented uniform heat flux, is solved analytically. The limiting case of two touching spheres is analyzed separately. The solution is obtained in the form of converged integrals that can be calculated using Gauss-Laguerre quadrature rule. The temperature on the inhomogeneity's surface is used to determine components of the resistivity contribution tensor for the insulating inhomogeneity of the mentioned shape. An interesting observation is that the extreme values of these components are achieved when the spheres are already slightly coalesced. |
| Databáze: | OpenAIRE |
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