• 제목/요약/키워드: Cubic polynomial

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Effects of macroporosity and double porosity on noise control of acoustic cavity

  • Sujatha, C.;Kore, Shantanu S.
    • Advances in aircraft and spacecraft science
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    • 제3권3호
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    • pp.351-366
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    • 2016
  • Macroperforations improve the sound absorption performance of porous materials in acoustic cavities and in waveguides. In an acoustic cavity, enhanced noise reduction is achieved using porous materials having macroperforations. Double porosity materials are obtained by filling these macroperforations with different poroelastic materials having distinct physical properties. The locations of macroperforations in porous layers can be chosen based on cavity mode shapes. In this paper, the effect of variation of macroporosity and double porosity in porous materials on noise reduction in an acoustic cavity is presented. This analysis is done keeping each perforation size constant. Macroporosity of a porous material is the fraction of area covered by macro holes over the entire porous layer. The number of macroperforations decides macroporosity value. The system under investigation is an acoustic cavity having a layer of poroelastic material rigidly attached on one side and excited by an internal point source. The overall sound pressure level (SPL) inside the cavity coupled with porous layer is calculated using mixed displacement-pressure finite element formulation based on Biot-Allard theory. A 32 node, cubic polynomial brick element is used for discretization of both the cavity and the porous layer. The overall SPL in the cavity lined with porous layer is calculated for various macroporosities ranging from 0.05 to 0.4. The results show that variation in macroporosity of the porous layer affects the overall SPL inside the cavity. This variation in macroporosity is based on the cavity mode shapes. The optimum range of macroporosities in poroelastic layer is determined from this analysis. Next, SPL is calculated considering periodic and nodal line based optimum macroporosity. The corresponding results show that locations of macroperforations based on mode shapes of the acoustic cavity yield better noise reduction compared to those based on nodal lines or periodic macroperforations in poroelastic material layer. Finally, the effectiveness of double porosity materials in terms of overall sound pressure level, compared to equivolume double layer poroelastic materials is investigated; for this the double porosity material is obtained by filling the macroperforations based on mode shapes of the acoustic cavity.

시설 수경재배에서 FDR 센서를 활용한 근권 내 농도의 연속적 모니터링 방법 (Development of Continuous Monitoring Method of Root-zone Electrical Conductivity using FDR Sensor in Greenhouse Hydroponics Cultivation)

  • 이재성;신종화
    • 생물환경조절학회지
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    • 제31권4호
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    • pp.409-415
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    • 2022
  • 식물의 생장과 발달은 지하부 환경에도 영향을 받으므로 근권 환경의 변수들을 관수전략의 수립에 고려하는 것이 매우 중요하다. 본 연구의 목적은 수분이동 특성이 다른 2종류의 암면배지에서 FDR센서를 활용하여 체적함수율(VWC)과 Bulk EC(ECb) 그리고 식물의 뿌리가 이용하는 Pore EC(ECp)에 대한 관계를 분석하고, 이를 활용하여 이용가능한 근권 환경 데이터 수집과 보정 방법을 확립하고자 진행되었다. 실험은 물리적 특성이 다른 2종류의 암면배지(RW1, RW2)를 사용하였다. FDR 센서를 활용하여 함수율(MC)과 ECb를 측정하였으며, ECp는 체적함수율(VWC) 10-100%에서 배지 중앙부위에 일회용 주사기를 이용하여 배지 잔류 양액을 추출 후 측정하였다. 이후 2종류 배지(RW1, RW2)에 서로 다른 농도(증류수, 0.5-5.0)의 배양액을 각 체적함수율 범위(0-100%)로 공급하여 ECb와 ECp를 측정하였다. RW1, RW2 배지에서 ECb와 ECp의 관계는 3차 다항식에 가장 적합하였다. 체적함수율(VWC) 범위 3차 다항식에 따른 ECb와 ECp의 관계는 낮은 체적함수율(VWC) 10-60% 구간에서 큰 오차율을 보였다. 체적함수율(VWC)범위에 따른 센서 측정값(ECb) 및 식물 뿌리가 이용하는(ECp)의 상관관계는 2종류 배지(RW1, RW2) 모두 Paraboloid 식에서 결정계수(R2) 값이 각각 0.936, 0.947로 가장 높았다.