Two-sided estimates for thermal resistance of an inhomogeneous solid body

A method for solution of the inverse boundary thermal conductivity problem of recovery of the heat fluxes to the structural components of aircraft fabricated of anisotropic materials is proposed. The method is based on a previously obtained analytical solution of a 2D nonstationary thermal conductivity problem in an anisotropic fin under boundary heat transfer. The method consists in parametric identification and finite element approximation of the dependence of the heat flux on the spatial variable. A regularizing algorithm is developed that permits identification of heat fluxes with large, up to 10%, errors in the experi mental temperature values. The results obtained in numerical experiments are analyzed.

show abstract

“…To solve inverse prob lems, the double ended method proposed in the paper by V.S Zarubin and G.N. Kuvyrkin [9] can be used.…”

Section: Introductionmentioning

confidence: 99%

On inverse boundary thermal conductivity problem of recovery of heat fluxes to the boundaries of anisotropic bodies

2015

View full text Add to dashboard Cite

show abstract

“…However, it should be noted that any of these formulas uses the relatively rough model of the heterogeneous medium that affects the accuracy of determining the effective coefficients. Recently a series of new approaches to solving inverse problems of determining the nonlinear thermal physical character istics of anisotropic bodies appeared [11], as well as methods of estimating the thermal resistance of the inhomogeneous solid state with allowance for the nonideality of the heat contact [12]. The experimental methods of determining the effective thermal conduc tivities also have restrictions (the size of the studied sample, contrast of matrix-inclusion properties, etc.…”

Section: Introductionmentioning

confidence: 99%