Quasifractional approximants for effective conductivity of regular arrays of spheres

• Autorzy: Danishevs'kyy V. , Andrianov I. , Tokarzewski S.
• Konferencja: Solid Mechanics Conference (32 ; 01-05.09.1998 ; Zakopane)
• Języki publikacji: EN

Abstrakty

EN

We study the effective heat conductivity of regular arrays of perfectly conducting spheres embedded in a matrix with the unit conductivity. Quasifractional approximants allow us to derive an approximate analytical solution, valid for all values of the spheres volume fraction phi belongs to [0; phi[max]] (phi[max] is the maximum limiting volume of a sphere). As the bases we use a perturbation approach for phi --> 0 and an asymptotic solution for phi --> phi[max]. Three different types of the spheres space arrangement (simple, body and face-centred cubic arrays) are considered. The obtained results give a good agreement with numerical data.

Słowa kluczowe

EN

heat conduction

PL

przewodnictwo cieplne

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2000
• Tom: Vol. 52, nr 2
• Strony: 319--327
• Opis fizyczny: Bibliogr. 17 poz.,Tab., Wykr.,

Twórcy

autor

Danishevs'kyy V.

autor

Andrianov I.

autor

Tokarzewski S.

• Centre of Mechanics, Institute of Fundamental Technological Research, Świętokrzyska 21, 00-049 Warsaw, Poland,