Mathematical and experimental investigation of sound absorption behavior of sustainable kenaf fiber at low frequency

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ORIGINAL PAPER

Mathematical and experimental investigation of sound absorption behavior of sustainable kenaf fiber at low frequency E. Taban1 · F. Valipour2 · D. D. Abdi3 · S. Amininasab4 Received: 7 August 2020 / Revised: 27 October 2020 / Accepted: 31 October 2020 © Islamic Azad University (IAU) 2020

Abstract Natural materials are being employed as an option for controlling noise pollution, mainly via sound absorption mechanism. Specifically, natural fibers have been selected for use since they are environmentally friendly as well as easily and abundantly available. This paper discusses the mathematical and experimental examination of the sound absorption behavior of sustainable kenaf fiber at low-frequency range using the Delany–Bazley model (D–B model) as well as Nelder–Mead method and comparing the results with experimental findings. For this reason, we prepared S1-S16 samples of natural kenaf fibers at different thicknesses and bulk densities to measure the values of airflow resistivity and sound absorption coefficients. The predicted values obtained from both the D–B model and best-fit inverse approach presented by the Nelder–Mead method compared with experimental data measured using impedance tube. Accordingly, by applying a least-square fit procedure, the values that have best predicted both the impedance test and the propagation constant laws were evaluated. The inverse laws approach applied to determine the different physical parameters such as porosity, thickness, airflow resistivity as well as predicting the absorption performance of the kenaf fiber at low frequency ranges. Keywords  Kenaf fiber · Waste recycling · Sound absorption coefficient · Empirical model · Best-fit inverse

Introduction Today, noise pollution is considered as one of the most hazardous pollutants comparable to air pollution (Goines and Hagler 2007). Increasing the number of modern industries and transportation services such as aircraft, trains, cars, or city buses along with human’s daily activities are the

Editorial responsibility: Parveen Fatemeh Rupani. * F. Valipour [email protected] 1



Social Determinants of Health Research Center, Department of Occupational Health Engineering, Mashhad University of Medical Sciences, Mashhad, Iran

2



Department of Occupational Health, Faculty of Health, Baqiyatallah University of Medical Sciences, Tehran, Iran

3

Department of Occupational Health Engineering, School of Public Health, Tehran University of Medical Sciences, Tehran, Iran

4

Department of Acoustic, Road, Housing and Urban Development Research Center (BHRC), Tehran, Iran





primary sources of noise pollution in urban areas (Paiva et al. 2019; Yuan et al. 2019). Frequent exposure to higher levels of occupational noise may lead to hearing damage and chronic diseases such as stress, petulance, hypertension, heart disorder, annoyance, and sleep disorder (Basner et al. 2014; Taban et al. 2017; Maasoumi et  al. 2017). Additionally, working in noisy environments has also been reported to be associated with increas