### Algorithm of Pores Distribution Model for Analysis and Measurement of Thermal Conductivity of Polypropylene Porous Material

*Muhammad Zulkarnain, M.A. Fadzil, Rahida Sharudin*

**Abstract**: In the current study,

algorithm pore distribution models of porous material are developed for insulator application through

establishing the effects of pore shape, content and size, which acts as an expression of the nature of porous material. The arrangement of pore distribution in the

polypropylene (PP) system is determined by various irregular shape studies. The

model is simulated through representative volume elements (RVEs) with the pore content, which

is set in the range of 5-24 vol.%, while the pore sizes are used around 0.2, 2 and 3 mm of diameter size. A

significant improvement in the optimization of the insulator model is showed by

synergistic effect on decreasing thermal conductivity in increasing the content

of the

pores. The results obtained show that the various irregular shapes of

porous material produce various final results in thermal conductivity. The

thermal conductivity of the porous material that contained 24 vol.% of pores

significantly

improved from 0.22 W/m.K to 0.158 W/m.K. Comparison of the simulation showed

that the data matched well with the Maxwell-Eucken and Hashin–Shtrikman bounds

models.

**Keywords**: Finite element analysis; Polypropylene; Porous material; Representative volume elements; Thermal conductivity

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