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Content available remote Effect of polydispersity in conductivity of unidirectional cylindres
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Purpose: Purpose of this paper is to study the effective thermal conductivity of infinite unidirectional circular cylinders arbitrary distributed in a uniform host. Design/methodology/approach: Applying the method of complex potentials we present the heat flux as a complex analytic function in the section of the fibre composite perpendicular to the direction of the cylinders. Findings: The flux is written in the form of a series. Special attention is paid to the question of polydispersity, when many cylinders of different radii are distributed in the periodicity cell. Research limitations/implications: The proposed exact formulas hold for fiber composites. Practical implications: The deduced formulas are useful in prediction and estimation of the effective thermal conductivity of fiber composites. Originality/value: The obtained formulas for the effective conductivity are new and were not known before.
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