• 제목/요약/키워드: Differential Transformation Method

검색결과 124건 처리시간 0.021초

Bionic Study of Variable Viscosity on MHD Peristaltic Flow of Pseudoplastic Fluid in an Asymmetric Channel

  • Khan, Ambreen A.;Muhammad, Saima;Ellahi, R.;Zia, Q.M. Zaigham
    • Journal of Magnetics
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    • 제21권2호
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    • pp.273-280
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    • 2016
  • In this paper, the peristaltic flow of Psedoplastic fluid with variable viscosity in an asymmetric channel is examined. The bionic effects by means of magnetohydrodynamics (MHD) are taken into account. The assumptions of long wave length and low Reynolds number are taken into account. The basic equations governing the flow are first reduced to a set of ordinary differential equation by using appropriate transformation for variables and then solve by using perturbation method. The effect of physical parameters on the pressure rise, velocity and pressure gradient are illustrated graphically. The trapping phenomenon is analyzed through stream lines. A suitable comparison has also been made as a limiting case of the considered problem.

Construction of a Ginsenoside Content-predicting Model based on Hyperspectral Imaging

  • Ning, Xiao Feng;Gong, Yuan Juan;Chen, Yong Liang;Li, Hongbo
    • Journal of Biosystems Engineering
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    • 제43권4호
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    • pp.369-378
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    • 2018
  • Purpose: The aim of this study was to construct a saponin content-predicting model using shortwave infrared imaging spectroscopy. Methods: The experiment used a shortwave imaging spectrometer and ENVI spectral acquisition software sampling a spectrum of 910 nm-2500 nm. The corresponding preprocessing and mathematical modeling analysis was performed by Unscrambler 9.7 software to establish a ginsenoside nondestructive spectral testing prediction model. Results: The optimal preprocessing method was determined to be a standard normal variable transformation combined with the second-order differential method. The coefficient of determination, $R^2$, of the mathematical model established by the partial least squares method was found to be 0.9999, while the root mean squared error of prediction, RMSEP, was found to be 0.0043, and root mean squared error of calibration, RMSEC, was 0.0041. The residuals of the majority of the samples used for the prediction were between ${\pm}1$. Conclusion: The experiment showed that the predicted model featured a high correlation with real values and a good prediction result, such that this technique can be appropriately applied for the nondestructive testing of ginseng quality.

Numerical Study of Entropy Generation with Nonlinear Thermal Radiation on Magnetohydrodynamics non-Newtonian Nanofluid Through a Porous Shrinking Sheet

  • Bhatti, M.M.;Abbas, T.;Rashidi, M.M.
    • Journal of Magnetics
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    • 제21권3호
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    • pp.468-475
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    • 2016
  • In this article, entropy generation on MHD Williamson nanofluid over a porous shrinking sheet has been analyzed. Nonlinear thermal radiation and chemical reaction effects are also taken into account with the help of energy and concentration equation. The fluid is electrically conducting by an external applied magnetic field while the induced magnetic field is assumed to be negligible due to small magnetic Reynolds number. The governing equations are first converted into the dimensionless expression with the help of similarity transformation variables. The solution of the highly nonlinear coupled ordinary differential equation has been obtained with the combination of Successive linearization method (SLM) and Chebyshev spectral collocation method. Influence of all the emerging parameters on entropy profile, temperature profile and concentration profile are plotted and discussed. Nusselt number and Sherwood number are also computed and analyzed. It is observed that entropy profile increases for all the physical parameters. Moreover, it is found that when the fluid depicts non-Newtonian (Williamson fluid) behavior then it causes reduction in the velocity of fluid, however, non-Newtonian behavior enhances the temperature and nanoparticle concentration profile.

Computer vision-based remote displacement monitoring system for in-situ bridge bearings robust to large displacement induced by temperature change

  • Kim, Byunghyun;Lee, Junhwa;Sim, Sung-Han;Cho, Soojin;Park, Byung Ho
    • Smart Structures and Systems
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    • 제30권5호
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    • pp.521-535
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    • 2022
  • Efficient management of deteriorating civil infrastructure is one of the most important research topics in many developed countries. In particular, the remote displacement measurement of bridges using linear variable differential transformers, global positioning systems, laser Doppler vibrometers, and computer vision technologies has been attempted extensively. This paper proposes a remote displacement measurement system using closed-circuit televisions (CCTVs) and a computer-vision-based method for in-situ bridge bearings having relatively large displacement due to temperature change in long term. The hardware of the system is composed of a reference target for displacement measurement, a CCTV to capture target images, a gateway to transmit images via a mobile network, and a central server to store and process transmitted images. The usage of CCTV capable of night vision capture and wireless data communication enable long-term 24-hour monitoring on wide range of bridge area. The computer vision algorithm to estimate displacement from the images involves image preprocessing for enhancing the circular features of the target, circular Hough transformation for detecting circles on the target in the whole field-of-view (FOV), and homography transformation for converting the movement of the target in the images into an actual expansion displacement. The simple target design and robust circle detection algorithm help to measure displacement using target images where the targets are far apart from each other. The proposed system is installed at the Tancheon Overpass located in Seoul, and field experiments are performed to evaluate the accuracy of circle detection and displacement measurements. The circle detection accuracy is evaluated using 28,542 images captured from 71 CCTVs installed at the testbed, and only 48 images (0.168%) fail to detect the circles on the target because of subpar imaging conditions. The accuracy of displacement measurement is evaluated using images captured for 17 days from three CCTVs; the average and root-mean-square errors are 0.10 and 0.131 mm, respectively, compared with a similar displacement measurement. The long-term operation of the system, as evaluated using 8-month data, shows high accuracy and stability of the proposed system.

Al-Zr 혼합산화물 촉매의 제조 및 특성분석 (Preparation and Characterization of Al-Zr Mixed Oxide Catalysts)

  • 박정현;윤현기;신채호
    • 청정기술
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    • 제22권1호
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    • pp.9-15
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    • 2016
  • Al/(Al+Zr)의 몰 비를 달리하여 xAl-yZr 산화물 촉매를 공침법으로 제조하였고, 모델반응으로 이소프로판올 탈수반응을 수행하였다. 제조된 촉매는 X-선 회절분석, 시차 열분석법, 질소 흡착법, 암모니아 승온탈착법, 이소프로판올 승온탈착법 등의 특성분석을 수행하였다. 지르코니아에 알루미늄 종을 첨가하면 상대적으로 넓은 비표면적을 갖는 작은 입자를 얻을 수 있으며 지르코니아의 결정상변화를 억제시켰다. 암모니아 승온탈착으로 알루미늄의 몰 비가 증가함에 따라 상대적인 산양이 증가함을 확인하였고, 이소프로판올탈수반응에서 촉매 활성 또한 증가하였다. 이러한 촉매활성은 촉매의 비표면적, 산점, 상대적으로 용이한 이소프로판올의 탈착과 연관시킬 수 있었다.

Epoxy Molding Compound의 경화거동에 관한 연구 (A Study on the Cure Behavior of Epoxy Molding Compound)

  • 윤상영;오명숙;박내정
    • 폴리머
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    • 제24권6호
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    • pp.837-844
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    • 2000
  • 본 연구에서는 반도체 봉지제로 사용되는 상용 EMC중 가속제의 함량이 다른 두 종류의 프리프레그에 대하여 그 경화거동을 등온 및 승온조건에서 시차 주사 역량계, 점도계 및 유전율 측정계를 이용하여 분석하였다. 경화반응 속도변수는 Kamal의 자동촉매 반응식을 이용하여 m+n을 2로 가정한 후 Ryan Dutta의 방법에 따라 계산에 의한 경화반응 속도의 예측 치와 실제 실험 데이터가 10$0^{\circ}C$를 제외한 나머지 온도에서는 잘 일치하는 경향을 나타내었다. 경화과정 중 겔화와 유리화와 같은 상 전이를 관찰하였으며 각각의 등온 경화온도에서 경화시간에 따른 유리전이 온도 ($T_{g}$ )를 측정하여 경화온도와 유리전이 온도가 같아지는 유리화점을 구할 수 있었고 절대온도와의 사이에 Arrhenius관계가 성립함을 확인하였다. 또한 평판형 전극을 이용한 DEA는 EMC의 경화 과정을 동정하는데 효과적으로 이용될 수 있음을 알 수 있었다. 같은 종류의 수지 시스템에서는 TTT diagram상에서 $_{gel}$$T_{g}$ 가속제의 농도에 상관없이 일정한 온도에서 나타남을 확인하였다.

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Theoretical fabrication of Williamson nanoliquid over a stretchable surface

  • Sharif, Humaira;Hussain, Muzamal;Khadimallah, Mohamed Amine;Ayed, Hamdi;Taj, Muhammad;Bhutto, Javed Khan;Mahmoud, S.R.;Iqbal, Zafer;Ahmad, Shabbir;Tounsi, Abdelouahed
    • Advances in concrete construction
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    • 제14권2호
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    • pp.103-113
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    • 2022
  • On the basis of fabrication, the utilization of nano material in numerous industrial and technological system, obtained the utmost significance in current decade. Therefore, the current investigation presents a theoretical disposition regarding the flow of electric conducting Williamson nanoliquid over a stretchable surface in the presence of the motile microorganism. The impact of thermal radiation and magnetic parameter are incorporated in the energy equation. The concentration field is modified by adding the influence of chemical reaction. Moreover, the splendid features of nanofluid are displayed by utilizing the thermophoresis and Brownian motion aspects. Compatible similarity transformation is imposed on the equations governing the problem to derive the dimensionless ordinary differential equations. The Homotopy analysis method has been implemented to find the analytic solution of the obtained differential equations. The implications of specific parameters on profiles of velocity, temperature, concentration and motile microorganism density are investigated graphically. Moreover, coefficient of skin friction, Nusselt number, Sherwood number and density of motile number are clarified in tabular forms. It is revealed that thermal radiation, thermophoresis and Brownian motion parameters are very effective for improvement of heat transfer. The reported investigation can be used in improving the heat transfer appliances and systems of solar energy.

스파이크 노즐 설계 (SHAPING A NOZZLE WITH A CENTRAL BODY)

  • 김철웅
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 추계 학술대회논문집
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    • pp.293-298
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    • 2005
  • We calculate the coordinates of an axisymmetric nozzle with a central body. This nozzle ensures a transonic flow with a plane sound surface, which is orthogonal to the symmetry axis and has a wall kink at the sonic point, The Chaplygin transformation in the subsonic part of the flow leads the Dirichlet problem for a system of nonlinear equations. The definition domain of the solution in the velocity-hodograph plane is taken as a rectangle. This enables one to obtain the nozzle with a monotonic distribution of velocity along its subsonic part. In the nonlinear differential equation, the linear Chaplygin operator for plane flows is separated, which allows the iterative calculation of the solution. The supersonic part of the nozzle is calculated under the assumption that the flow at the nozzle exit is uniform and parallel to the symmetry axis; i.e., the supersonic jet outflows to the submerged space with the same pressure. The calculation is performed by the characteristic method. The exact solution of Tricomi equation for near-sonic flows with the straight sonic line is used to 'move away' the sound plane. The velocity distribution alone the supersonic part of the nozzle is also monotonic, which ensures the absence of the boundary-layer separation and, therefore, the adequacy of the ideal-gas model. calculations show that the flow in the supersonic part of the nozzle is continuous (compression shocks are absent)

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Structural evolution and kinetic study of high isotacticity poly(acrylonitrile) during isothermal pre-oxidation

  • Zhang, Li;Dai, Yongqiang;Kai, Yi;Jin, Ri-Guang
    • Carbon letters
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    • 제12권4호
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    • pp.229-235
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    • 2011
  • Isotactic polyacrylonitrile (PAN) with triad isotacticity of 0.53, which was determined by $^{13}C$ NMR, using dialkylmagnesium as an initiator, was successfully synthesized. Isothermal treatment of iso-PAN was conducted in air at 200, 220, 250 and $280^{\circ}C$. Structural evolutions and chemical changes were studied with Fourier transformation infrared and wide-angle X-ray diffraction during stabilization. A new parameter $CNF={I_{2240cm}}^{-1}/ ({I_{1595cm}}^{-1}+f^*{I_{1595cm}}^{-1})$ was defined to evaluate residual nitrile groups. Crystallinity and crystal size were calculated with X-ray diffraction dates. The results indicated that the nitrile groups had partly converted into a ladder structure as stabilization proceeded. The rate of reaction increased with treatment temperature; crystallinity and crystal size decreased proportionally to pyrolysis temperature. The iso-conversional method coupled with the Kissinger and Flynn-Wall-Ozawa methods were used to determine kinetic parameters via differential scanning calorimetry analysis with different heating rates. The active energy of the reaction was 171.1 and 169.1 kJ/mol, calculated with the two methods respectively and implied the sensitivity of the reaction with temperature.

Teaching Linear Algebra to High School Students

  • Choe, Young-Han
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제8권2호
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    • pp.107-114
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    • 2004
  • University teachers of linear algebra often feel annoyed and disarmed when faced with the inability of their students to cope with concepts that they consider to be very simple. Usually, they lay the blame on the impossibility for the students to use geometrical intuition or the lack of practice in basic logic and set theory. J.-L. Dorier [(2002): Teaching Linear Algebra at University. In: T. Li (Ed.), Proceedings of the International Congress of Mathematicians (Beijing: August 20-28, 2002), Vol. III: Invited Lectures (pp. 875-884). Beijing: Higher Education Press] mentioned that the situation could not be improved substantially with the teaching of Cartesian geometry or/and logic and set theory prior to the linear algebra. In East Asian countries, science-orientated mathematics curricula of the high schools consist of calculus with many other materials. To understand differential and integral calculus efficiently or for other reasons, students have to learn a lot of content (and concepts) in linear algebra, such as ordered pairs, n-tuple numbers, planar and spatial coordinates, vectors, polynomials, matrices, etc., from an early age. The content of linear algebra is spread out from grades 7 to 12. When the high school teachers teach the content of linear algebra, however, they do not concern much about the concepts of content. With small effort, teachers can help the students to build concepts of vocabularies and languages of linear algebra.

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