A New Mathematical Model for Permeability of Composites

سال انتشار: 1392
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 91

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شناسه ملی سند علمی:

JR_JSMA-5-4_004

تاریخ نمایه سازی: 28 مرداد 1402

چکیده مقاله:

Study of permeability of Fibrous Composites is important in several natural and industrial processes in mechanical engineering. In this study, a comprehensive mathematical model is presented for calculation of normal permeability of ordered elliptical fibrous media. An innovative scale-analysis technique is employed for determining the normal permeability of elliptical fibrous media. In this technique, the permeability is related to the porosity, elliptical fiber diameters, and tortuosity of the medium. In other word, the normal permeability of the circular fibrous structures, which presented in the literature, is extended to the general case of elliptical fibrous media. The composite material is represented by a “unit cell” which is assumed to be repeated throughout the media. A closed-form relation is obtained for non-dimensional permeability using scale analysis approach. Due to lack of experimental data for permeability of fibrous porous media (composite media), with elliptical cross section, a numerical analysis is also employed. The governing equations are solved numerically in the unit cells using finite volume method. The results obtained by numerical solution are compared with those presented by scale analysis method. The presented relation for normal permeability can suitably cover the case of fibrous media with circular cross section. The results are also compared with those presented in the literature for the case of cylindrical fibers. The developed compact relationships are successfully verified through comparison with the present experimental results and the data reported by others.

نویسندگان

M.M Shahmardan

Department of Mechanical Engineering, Shahrood University of Technology

M Nazari

Department of Mechanical Engineering, Shahrood University of Technology

M Khaksar

Department of Mechanical Engineering, Shahrood University of Technology

M Khatib

Department of Mechanical Engineering, Shahrood University of Technology

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