• 제목/요약/키워드: surface similarity

검색결과 284건 처리시간 0.022초

유추를 통한 조립제법 탐구활동 사례 연구 (A case study on inquiry activities of synthetic division through analogies)

  • 정미린;황우형
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제28권1호
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    • pp.97-130
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    • 2014
  • 본 연구의 목적은 조립제법 소재의 탐구활동에서 나타난 고등학생들의 사고 과정을 분석하여 유추의 양상을 조사하는 것이다. 인문계 고등학교 1학년 학생 2명을 대상으로 질적 사례연구로 수행되었다. 자료의 분석을 위하여 연구자가 제안한 유사성 분류 틀과 Gentner의 Structure-mapping Model(구조사상 모형, 줄여서 SMM)을 이용하였다. 두 학생 모두 유추를 도구로 사용하여 2차 이상의 조립제법을 발견하였으나, 유추적 사고의 능력에 따라 수학적 발견에 차이를 보였다. 탐구활동 과정에서 표면 유사성은 유추에서 중요한 역할을 수행하였다. 구조 유사성에 근거한 유추는 학생들도 수학자처럼 탐구하고 발견할 수 있도록 하였으며, 체계성의 원리에 의한 유추는 다른 영역에 대한 예측과 설명을 가능하게 하였고, 절차 유사성에 의한 유추는 내면화를 이끌어 냈다. 또한 유추의 성격이 도구적, 발견적이고 또한 반성적이라는 결론을 얻었다.

Mechanism of Enzymatic Degradation of Poly(butylene succinate)

  • Lee, Chan-Woo;Kimura, Yoshiharu;Chung, Jin-Do
    • Macromolecular Research
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    • 제16권7호
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    • pp.651-658
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    • 2008
  • Poly(butylene succiate) (PBS), poly(butylene succinate-co-L-lactate) (PBSL), and poly(butylene succinate-co-6-hydroxycaproate) (PBSCL) polymers were degraded by lipase $PS^{(R)}$, and the enzymatic degradation mechanism of PBS was analyzed in detail. The enzymatic degradation of PBS gave 4-hydroxybutyl succinate (4HBS) as the main product. An exo-type hydrolysis mechanism was proposed based on this observation. The terminal chain of PBS had conformational similarity to ordinary tri- and diglycerides and could be incorporated as a substrate in the active site of this lipase. The surface adsorption of the lipase was much larger on PBS and its copolymer films than on the other polyester films because the lipase adhered quite strongly to the polymer terminal through a specific adsorption mechanism. Kinetic analysis showed that the total number of surface adsorption points per unit area of PBSL and PBSCL copolymers was larger than that of the PBS homopolymer.

공기공급 시스템에 적응되는 Vortex Tube의 에너지 분리특성에 관한 연구(II) -표면의 단열효과에 따른 영향- (A Study for Energy Separation of Vortex Tube Using Air Supply System(II) - the effect of surface insulation -)

  • 방창훈;추홍록;유갑종
    • 한국안전학회지
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    • 제14권1호
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    • pp.3-9
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    • 1999
  • The vortex tube is a simple device which splits a compressed gas stream into a cold stream and a hot stream without any chemical reactions. Recently, vortex tube is widely used to local cooler of industrial equipments and air supply system. In this study, the insulation effect of surface on the efficiency of vortex tube was performed experimentally. The experiment is carried out for nozzle area ratio of 0.194, diameter ratio of cold end orifice of 0.6 and input pressure ranging from 0.2Mpa to 0.5Mpa. The purpose of this study is focused on the effect of surface insulation of vortex tube with the variation of cold air mass flow ratio. The results indicate that the temperature difference of cold and hot air are higher about 12% and 30% than that of not insulated vortex tube respectively. Furthermore, for the insulated vortex tube, the similarity relation for the prediction of cold end temperature as the function of cold air mass flow ratio and input pressure is obtained.

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MHD Boundary Layer Flow and Heat Transfer of Rotating Dusty Nanofluid over a Stretching Surface

  • Manghat, Radhika;Siddabasappa, Siddabasappa
    • Kyungpook Mathematical Journal
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    • 제60권4호
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    • pp.853-867
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    • 2020
  • The aim of this study was to analyze the momentum and heat transfer of a rotating nanofluid with conducting spherical dust particles. The fluid flows over a stretching surface under the influence of an external magnetic field. By applying similarity transformations, the governing partial differential equations were trans-formed into nonlinear coupled ordinary differential equations. These equations were solved with the built-in function bvp4c in MATLAB. Moreover, the effects of the rotation parameter ω, magnetic field parameter M, mass concentration of the dust particles α, and volume fraction of the nano particles 𝜙, on the velocity and temperature profiles of the fluid and dust particles were considered. The results agree well with those in published papers. According to the result the hikes in the rotation parameter ω decrease the local Nusselt number, and the increasing volume fraction of the nano particles 𝜙 increases the local Nusselt number. Moreover the friction factor along the x and y axes increases with increasing volume fraction of the nano particles 𝜙.

Practical scaling method for underwater hydrodynamic model test of submarine

  • Moonesun, Mohammad;Mikhailovich, Korol Yuri;Tahvildarzade, Davood;Javadi, Mehran
    • Journal of Advanced Marine Engineering and Technology
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    • 제38권10호
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    • pp.1217-1224
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    • 2014
  • This paper provides a practical scaling method to solve an old problem for scaling and developing the speed and resistance of a model to full-scale submarine in fully submerged underwater test. In every experimental test in towing tank, water tunnel and wind tunnel, in the first step, the speed of a model should be scaled to the full-scale vessel (ship or submarine). In the second step, the obtained resistance of the model should be developed. For submarine, there are two modes of movement: surface and submerged mode. There is no matter in surface mode because, according to Froude's law, the ratio of speed of the model to the full-scale vessel is proportional to the square root of lengths (length of the model on the length of the vessel). This leads to a reasonable speed and is not so much for the model that is applicable in the laboratory. The main problem is in submerged mode (fully submerged) that there isn't surface wave effect and therefore, Froude's law couldn't be used. Reynold's similarity is actually impossible to implement because it leads to very high speeds of the model that is impossible in a laboratory and inside the water. According to Reynold's similarity, the ratio of speed of the model to the full-scale vessel is proportional to the ratio of the full-scale length to the model length that leads to a too high speed. This paper proves that there is no need for exact Reynold's similarity because after a special Reynolds, resistance coefficient remains constant. Therefore, there is not compulsion for high speeds of the model. For proving this finding, three groups of results are presented: two cases are based on CFD method, and one case is based on the model test in towing tank. All these three results are presented for three different shapes that can show; this finding is independent of the shapes and geometries. For CFD method, Flow Vision software has been used.

Enhanced Bone-Regenerative Performance of Porous Hybrid Scaffolds by Surface Immobilization of Nano-Hydroxyapatite

  • 이상천
    • 한국재료학회:학술대회논문집
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    • 한국재료학회 2009년도 추계학술발표대회
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    • pp.12.1-12.1
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    • 2009
  • Nano-hydroxyapatite (N-HAp)has shown the pivotal role in producing bone-regenerative materials since it has similarity to natural bone minerals in terms of size, morphology, and the composition. Currently, the combination of biopolymers and N-HAp is recognizedas an attractive approach in generating hybrid scaffolds for bone tissueengineering. Surface engineering is an important issue since it determines whether cells can effectively adhere and proliferate on porous scaffolds. We aim to develop a synthetic approach to porous 3D scaffolds by immobilizing N-HAp on pore surfaces. The discrete nano-level anchoring of N-HAp on the scaffold pore surface is achieved using surface-repellent stable colloidal N-HAp with surface phosphate functionality. This rational surface engineering enables surface-anchored N-HAp to express its overall intrinsic bioactivity,since N-HAp is not phase-mixed with the polymers. The porous polymer scaffolds with surface-immobilized N-HAp provide more favorable environments thanconventional bulk phase-mixed polymer/N-HAp scaffolds in terms of cellular interaction and growth. In vitro biological evaluation using alkalinephosphatase activity assay supports that immobilized N-HAp on pore surfaces of polymer scaffolds contributed to the more enhanced in vitro osteogenicpotential. Besides, the scaffolds with surface-exposed N-HAp provide favorable environments for enhanced in vivo bone tissue growth, estimated by characteristic biomarkers of bone formation such as collagen. The results suggest that newly developed hybrid scaffolds with surface-immobilized N-HApmay serve as a useful 3D substrate with pore surfaces featuring excellent bonetissue-regenerative properties. Acknowledgement. This research was supported by a grant (code #: 2009K000430) from 'Center for Nanostructured Materials Technology' under '21st Century Frontier R&D Programs' of the Ministry of Education, Science and Technology, Korea.

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자동차 후면 유리 열선의 열전달특성에 따른 성애제거 성능평가 및 성능검증 방법에 관한 연구 (A Study on the Performance Test and Verification of Heat Transfer characteristics in Automobile Rear Window Heater)

  • 전환영;이찬규;배효준;이상재
    • 동력기계공학회지
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    • 제9권2호
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    • pp.73-80
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    • 2005
  • Both theoretical and experimental investigations were conducted to analyze defrosting behavior of a window heater operating in the low outdoor temperature($-20^{\circ}C$). To achieve this purpose, first a warm-chamber experiment($23^{\circ}C$) was performed to measure inner and outer surface temperature of the rear window(heated by the electric heater supplying 195 W) as functions of both time and position. Secondly, a cold chamber experiment was made to continuously record defrosting process of the frosted window. From the comparisons of the two experimental results, it was found that there was a similarity between the spatial distributions of both temperature and remaining frost. Thus, the temperature data from the warm-chamber experiments can be utilized to predict an expected zone covered with remaining frosts, and this approach can also be adopted in the inspection process in order to economically guarantee optimized performance of the window heater. Finally, an analytical model based on one-dimensional, steady-state heat transfer theories was proposed and successfully predicted the outer surface temperature of the rear window surrounded by cold air($-20^{\circ}C$) for the given operating conditions(heater power, inside and outside heat transfer coefficients, and surrounding air temperature, etc.).

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반응표면법을 이용한 다익 홴/스크롤 시스템의 설부에 대한 형상 최적화 (Shape Optimization of Cut-Off in a Multi-blade Fan/Scroll System Using Response Surface Method)

  • 한석영;맹주성;황영민
    • 한국자동차공학회논문집
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    • 제11권1호
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    • pp.225-231
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    • 2003
  • In order to improve efficiency of a system with three-dimensional flow characteristics, this paper presents a new method that overcomes three-dimensional effects by using two-dimensional CFD and response surface method. The method was applied to shape optimization of cut-off in a multi-blade fan/scroll system. As the entrance conditions of two-dimensional CFD, the experimental values at the positions out of the inactive zone were used. In order to examine the validity of the two-dimensional CFD the distributions of velocity and pressure obtained by two-dimensional CFD were compared with those of three-dimensional CFD and experimental results. It was found that the distributions of velocity and pressure show qualitatively similarity. The results of two-dimensional CFD were used for constructing the objective function with design variables using response surface method. The optimal angle and radius of cut-off were determined as $72.4^{\circ}$ and 0.092 times the outer diameter of impeller, respectively. It is quantified the previous report that the optimal angle and radius of cut-off are approximately $72^{\circ}$ and 0.08 times the outer diameter of impeller, respectively.

Resistance Reduction of a High Speed Small Boat by Air Lubrication

  • Jang Jin-Ho;Kim Hyo-Chul
    • Journal of Ship and Ocean Technology
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    • 제10권1호
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    • pp.1-9
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    • 2006
  • The resistance reduction by an air lubrication effect of a large air cavity covering the hull bottom surface and the similarity relations involved have been investigated with a series of towing tank tests of three geometrically similar models. The test results of geometrically similar models have indicated that a large air cavity was formed beneath the bottom having a backward-facing step by artificially supplying air is effective for resistance reduction. The areas of air cavity and the required flow rates of air are directly related to the effective wetted surface area. The traditional extrapolation methods seem to be applicable to the estimation of the resistance in the tested range if corrections are made to account the changes in the frictional resistance caused by the changes in the effective wetted surface area. To investigate the effectiveness of air lubrication in improving the resistance performance of a practical ship, a small test boat having a backward-facing step under its bottom has been manufactured and speed trials in a river have been performed. Air has been supplied artificially into the downstream region of the bottom step to form a large air cavity covering the bottom surface. The results have confirmed the practical applicability of air lubrication for the resistance reduction of a small high-speed boat.

가압 삼상슬러리 기포탑의 설계 및 Scale-up을 위한 수력학적 Similarity 해석 (Analysis of Hydrodynamic Similarity of Pressurized Three-Phase Slurry Bubble Column for its Design and Scale-up)

  • 서명재;임대호;진해룡;강용;정헌;이호태
    • Korean Chemical Engineering Research
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    • 제47권6호
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    • pp.720-726
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    • 2009
  • 가압으로 운전되는 삼상슬러리 기포탑에서 기포 체류량과 압력강하를 목적함수로하여 기포탑의 설계 및 scale-up을 위한 수력학적 similarity를 고찰하였다. 또한, 본 연구에서 선택한 각 실험변수가 기포탑의 직경변화에 따라 기포탑 내 기포 체류량에 미치는 영향을 분석하였다. 슬러리 기포탑에서 기체체류량 및 압력강하의 결정에 영향을 미치는 주요 인자로써 기체유속($U_G$), 연속 슬러리 상의 점도(${\mu}_{SL,eff}$) 및 표면장력(${\rho}_{SL}$), 운전압력의 변화에 따라 변화하는 기체상의 밀도(${\rho}_G$)와 슬러리 밀도(${\rho}_{SL}$)의 차($\rho_{SL}$-${\rho}_G$), 기포탑 내부에서 단위길이 당 압력강하(${\Delta}P/L$), 기포탑의 직경(D) 그리고 기포탑에서 다상흐름에 작용하는 중력의 영향을 고려하기 위해 중력가속도(g) 등을 선정하였다. 선정된 7개의 슬러리 기포탑의 수력학적 특성에 영향을 미치는 파라메타들과 3개의 기본차원들로부터 차원해석에 의해 수력학적 특성을 지배하는 4개의 무차원 군을 도출하였다. 도출된 무차원 군인 레이놀즈 수, 프라우드 수 그리고 웨버 수 등이 기포탑에서 기포체류량에 미치는 영향을 검토하였다. 기포탑 내부에서의 압력강하와 기체 체류량 등을 무차원 군의 상관식으로부터 효과적으로 예측할 수 있었다. 본 연구의 결과는 가압슬러리 기포탑의 설계 및 scale-up 등에 매우 유용한 정보를 제공할 수 있을 것으로 사료된다.