• Title/Summary/Keyword: Logarithmic-law

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Atmospheric Effects on Growth Kinetics and Electronic Properties of Passive Film of Aluminum in Borate Buffer Solution (Borate 완충용액에서 알루미늄의 산화피막의 생성과정과 전기적 성질에 대한 대기의 영향)

  • Kim, Younkyoo
    • Journal of the Korean Chemical Society
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    • v.60 no.3
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    • pp.169-176
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    • 2016
  • In a borate buffer solution, the growth kinetics and the electronic properties of passive film on aluminum were investigated, using the potentiodynamic method, chronoamperometry, and multi-frequency electrochemical impedance spectroscopy. The corrosion of aluminum was heavily influenced by the degree of oxygen concentration because of the increasing reduction current. The oxide film formed during the passivation process of aluminum has showed the electronic properties of n-type semiconductor, which follow from the Mott-Schottky equation. It was found out that the passive film (Al(OH)3) of Al formed in the low electrode potential changes to Al2O3 while the electrode potential increases. The growth kinetics data as measured by chronoamperometry suggests a mechanism in which the growth of the film of Al2O3 is determined by field-assisted transport of ions through the film.

Prediction Model of Absorbed Quantity and Diffusivity of Salf in Radish during Salting (무우의 염절임시 소금의 침투량과 확산도 예측모델)

  • 최용희;권태연
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.20 no.6
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    • pp.572-581
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    • 1991
  • For the development of a model to predict absorbed salt quantity in radish during salting, absorbed salt quantity and water content change in radish by the hour were measured at 5%, 10%, 15% brine concentration and $10^{\circ}C,\;20^{\circ}C,\;30^{\circ}C$ respectively. Absorbed salt quantity in radish by the time showed logarithmic function, absorbed salt quantity by brine concentration and temperature showed linear relation. A model to predict absorbed salt quantity in radish at each time, brine concentration and temperature was calculated by the regression program of SPSS. Apparent diffusivity of salt in radish was calculated from appropriated diffusion equation solution of Fick's second law using computer simulation. Salt diffusivity in radish increased as brine concentration increased and the effect of temperature could by expressed by Arrhenius equation. A model equation which could predict salt diffusivity was developed by regression analysis. To specify relation between salt quantity which absorbed into radish and water content which removed out of it, Flux ratio(${\Delta}W/{\Delta}S$) was calcuated. The values showed that the removed water content was greater than the absorbed salt quantity.

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Turbulent Couette Flow between Coaxial Cylinders with Inner Cylinder Rotating (내측원관이 회전하는 동심이중원관 사이의 난류 쿠에트 유동에 관한 연구)

  • 김광용;김진욱;조용철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.3
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    • pp.540-546
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    • 1992
  • Turbulent Couette flow between coaxial cylinders with inner one rotating has been investigated experimentally and numerically. The radius ratio of the coaxial cylinders is 0.43. Mean velocity and turbulent stresses have been measured by hot-wire anemometer in the range of Reynolds number based on the velocity at rotating wall and the radial distance between walls, 60,900-187,000. For the numerical computation, the Reynolds stress model has been used as a turbulence closure model. Measurements of mean velocity show that the velocity profile of wall layer largely deviates from universal logarithmic law due to the effect of streamline curvature, especially in the region near the stationary outer cylinder. The results computed with the Reynolds stress model agree well with the experimental data in the prediction of circumferential intensity of turbulent fluctuations. However, the computed level of radial intensity is much higher than the measurement. Curvature-corrected versions of the Reynolds stress model improves the prediction of turbulent intensities, but the results are not fully satisfactory.

Bora wind characteristics for engineering applications

  • Lepri, Petra;Vecenaj, Zeljko;Kozmar, Hrvoje;Grisogono, Branko
    • Wind and Structures
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    • v.24 no.6
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    • pp.579-611
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    • 2017
  • Bora is a strong, usually dry temporally and spatially transient wind that is common at the eastern Adriatic Coast and many other dynamically similar regions around the world. One of the Bora main characteristics is its gustiness, when wind velocities can reach up to five times the mean velocity. Bora often creates significant problems to traffic, structures and human life in general. In this study, Bora velocity and near-ground turbulence are studied using the results of three-level high-frequency Bora field measurements carried out on a meteorological tower near the city of Split, Croatia. These measurements are analyzed for a period from April 2010 until June 2011. This rather long period allows for making quite robust and reliable conclusions. The focus is on mean Bora velocity, turbulence intensity, Reynolds shear stress and turbulence length scale profiles, as well as on Bora velocity power spectra and thermal stratification. The results are compared with commonly used empirical laws and recommendations provided in the ESDU 85020 wind engineering standard to question its applicability to Bora. The obtained results report some interesting findings. In particular, the empirical power- and logarithmic laws proved to fit mean Bora velocity profiles well. With decreasing Bora velocity there is an increase in the power-law exponent and aerodynamic surface roughness length, and simultaneously a decrease in friction velocity. This indicates an urban-like velocity profile for smaller wind velocities and a rural-like velocity profile for larger wind velocities. Bora proved to be near-neutral thermally stratified. Turbulence intensity and lateral component of turbulence length scales agree well with ESDU 85020 for this particular terrain type. Longitudinal and vertical turbulence length scales, Reynolds shear stress and velocity power spectra differ considerably from ESDU 85020. This may have significant implications on calculations of Bora wind loads on structures.

Applicability Evaluation of Using Logarithmic velocity law for Assessing Local Shear Stress in Straight and Meandering River Channel (직선 및 사행 하천에서의 대수법칙를 이용한 국부 소류력 산정 적용성 검토)

  • Kim, Jong Min;Kim, Dong Su;Son, Geun Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.172-172
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    • 2015
  • 하천에서 발생하는 소류력은 하상 변동을 발생시키기 때문에 주변 구조물이나 하천의 흐름특성 등을 변화시키게 되며, 유사이송, 침식 및 퇴적, 유동해석 등에 매우 중요한 하천 계수이다. 하천에서 소류력의 직접 측정은 매우 어려워 직접 측정 대신 하천경사 및 동수반경을 기반한 단면 평균소류력 산정 공식을 일반적으로 이용한다. 그러나, 이러한 방식은 상세한 유사이송, 세굴 등의 해석에는 한계가 있기 때문에 국부적인 소류력이 필요하다. 실내 실험에서는 프레스톤게이지를 활용한 직접 측정이나, 난류측정을 통한 레이놀즈 분포를 외삽하여 단면에서 국부적인 소류력을 측정하는 방식이 사용되어 왔다. 반면, 실제 하천에서는 국부 소류력 직접측정 및 난류 산정이 거의 불가능하거나 비효율적이므로 대안으로 하천의 연직유속분포에 대수분포를 적용하여 소류력을 추정하는 간접적인 방법이 제시되어 왔다. 일부 실내실험에서 대수법칙을 통한 소류력 산정 방식은 직접 측정을 통해 검증한 바가 있으나 실제 하천은 난류의 공간 시간적 스케일이 실내 규모와 상이하여 국부 소류력에 영향을 미칠 수 있어 이러한 검증결과를 현장 적용하기에는 한계가 있다. 본 연구에서는 실제 규모 하천에서 대수법칙을 활용한 국부 소류력 산정 결과와 레이놀즈 응력의 연직분포 측정을 통해 산정한 값과 비교하여 대수법칙 활용 소류력 산정 방식의 적용성을 검토하였다. 실험은 중소규모의 하천을 재현한 한국건설기술연구원 안동하천실험센터 직선(A1) 및 사행(A2) 하천의 유속측정을 수행하였으며, 유속 측정에는 정밀도가 높으나 실내에서 주로 사용된 초음파지점유속계(Micro ADV)를 현장에 설치하여 사용하였다. ADV의 관측 시간은 90초이며, 직선수로에서는 횡방향으로 25 cm 간격, 수심방향으로는 5 ~ 10 cm 간격으로 측정하였고, 사행수로는 횡방향으로 50 cm 간격, 수심방향 5 ~ 10 cm 간격으로 측정을 수행하였다. 실험결과 대수법칙과 레이놀즈 분포로부터 산정된 국부 소류력은 사행과 직선 모두 상당한 이격을 보였다.

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Stability investigation of symmetrically porous advanced composites plates via a novel hyperbolic RPT

  • S.R. Mahmoud;E.I. Ghandourah;A.H. Algarni;M.A. Balubaid;Abdelouahed Tounsi;Abdeldjebbar Tounsi;Fouad Bourada
    • Steel and Composite Structures
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    • v.46 no.4
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    • pp.471-483
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    • 2023
  • This paper presents an analytical hyperbolic theory based on the refined shear deformation theory for mechanical stability analysis of the simply supported advanced composites plates (exponentially, sigmoidal and power-law graded) under triangular, trapezoidal and uniform uniaxial and biaxial loading. The developed model ensures the boundary condition of the zero transverse stresses at the top and bottom surfaces without using the correction factor as first order shear deformation theory. The mathematical formulation of displacement contains only four unknowns in which the transverse deflection is divided to shear and bending components. The current study includes the effect of the geometric imperfection of the material. The modeling of the micro-void presence in the structure is based on the both true and apparent density formulas in which the porosity will be dense in the mid-plane and zero in the upper and lower surfaces (free surface) according to a logarithmic function. The analytical solutions of the uniaxial and biaxial critical buckling load are determined by solving the differential equilibrium equations of the system with the help of the Navier's method. The correctness and the effectiveness of the proposed HyRPT is confirmed by comparing the results with those found in the open literature which shows the high performance of this model to predict the stability characteristics of the FG structures employed in various fields. Several parametric analyses are performed to extract the most influenced parameters on the mechanical stability of this type of advanced composites plates.

On the effect of porosity on the shear correction factors of functionally graded porous beams

  • Ben Abdallah Medjdoubi;Mohammed Sid Ahmed Houari;Mohamed Sadoun;Aicha Bessaim;Ahmed Amine Daikh;Mohamed-Ouejdi Belarbi;Abdelhak Khechai;Aman Garg;Mofareh Hassan Ghazwani
    • Coupled systems mechanics
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    • v.12 no.3
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    • pp.199-220
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    • 2023
  • This article presents a new analytical model to study the effect of porosity on the shear correction factors (SCFs) of functionally graded porous beams (FGPB). For this analysis, uneven and logarithmic-uneven porosity functions are adopted to be distributed through the thickness of the FGP beams. Critical to the application of this theory is a determination of the correction factor, which appears as a coefficient in the expression for the transverse shear stress resultant; to compensate for the assumption that the shear strain is uniform through the depth of the cross-section. Using the energy equivalence principle, a general expression is derived from the static SCFs in FGPB. The resulting expression is consistent with the variationally derived results of Reissner's analysis when the latter are reduced from the two-dimensional case (plate) to the one-dimensional one (beam). A convenient algebraic form of the solution is presented and new study cases are given to illustrate the applicability of the present formulation. Numerical results are presented to illustrate the effect of the porosity distribution on the (SCFs) for various FGPBs. Further, the law of changing the mechanical properties of FG beams without porosity and the SCFare numerically validated by comparison with some available results.

Investigating wave propagation in sigmoid-FGM imperfect plates with accurate Quasi-3D HSDTs

  • Mokhtar Nebab;Hassen Ait Atmane;Riadh Bennai
    • Steel and Composite Structures
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    • v.51 no.2
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    • pp.185-202
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    • 2024
  • In this research paper, and for the first time, wave propagations in sigmoidal imperfect functionally graded material plates are investigated using a simplified quasi-three-dimensionally higher shear deformation theory (Quasi-3D HSDTs). By employing an indeterminate integral for the transverse displacement in the shear components, the number of unknowns and governing equations in the current theory is reduced, thereby simplifying its application. Consequently, the present theories exhibit five fewer unknown variables compared to other Quasi-3D theories documented in the literature, eliminating the need for any correction coefficients as seen in the first shear deformation theory. The material properties of the functionally graded plates smoothly vary across the cross-section according to a sigmoid power law. The plates are considered imperfect, indicating a pore distribution throughout their thickness. The distribution of porosities is categorized into two types: even or uneven, with linear (L)-Type, exponential (E)-Type, logarithmic (Log)-Type, and Sinus (S)-Type distributions. The current quasi-3D shear deformation theories are applied to formulate governing equations for determining wave frequencies, and phase velocities are derived using Hamilton's principle. Dispersion relations are assumed as an analytical solution, and they are applied to obtain wave frequencies and phase velocities. A comprehensive parametric study is conducted to elucidate the influences of wavenumber, volume fraction, thickness ratio, and types of porosity distributions on wave propagation and phase velocities of the S-FGM plate. The findings of this investigation hold potential utility for studying and designing techniques for ultrasonic inspection and structural health monitoring.

Development for Fishing Gear and Method of the Non-Float Midwater Pair Trawl Net(I) - Opening Efficiency of Model Net according to the Length of Lower Warp - (무부자 쌍끌이 중층망 어구어법의 개발(I) - 아래끌줄의 길이에 따른 모형어구의 전개성능 -)

  • 이주희;유제범;이춘우;권병국;김정문
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.39 no.1
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    • pp.33-43
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    • 2003
  • The midwater pair trawl which is being used at present in Korea have several problems. Firstly, it is difficult to control the net height on high towing speed. Secondly, net breaking often occurs owing to floats and thirdly, the volume of net on the net drum is so large. This study is aiming for examining the possibility of application for the Korean midwater pair trawl through the model experiment of non-float midwater pair trawl. The model of non-float midwater pair trawl was manufactured as 1/100 of the full scale net which is being used in bottom pair trawl for 850ps class considering the Tauti's Similarity law. The model experiment was carried out to analyze the opening efficiency according to the variation of lower warp length and the opening efficiency was investigated between th proto type and non-float type. The results obtained can be summarized as follows ; 1. The hydrodynamic resistance of non-float type was about 10~20% smaller than that of the proto type and it increased about 1ton according to the increase of dL at the condition of the same flow speed. The resistance acting on the lower warp decreased about 5% but that of the upper warp increased according to the increase of lower warp length (dL) at the condition of the same flow speed. 2. The net height of the non-float type decreased almost linearly according as the increased of flow speed and it increased in a logarithmic functional form with the increase of the lower warp length at the condition of the same flow speed. On the decreasing rate of the net height, the non-float type was lower than the proto type and the difference of the decreasing rate was about 12% at 3.0 knot, 25% at 4.0 knot, 25% at 4.0 knot respectively when dL was 30m. 3. The net width of non-float type was not varied so much as only 2m range and was larger than that of proto type. 4. The mouth area of non-float type decreased in a exponential functional form. On the decreasing rate of the mouth area, the non-float type was lower than the proto type. The filtering volume increased in a logarithmic functional form with increasing flow speed and the filtering volume of proto type decreased steeply over 3.0knot, but that of non-float type increased until 4.0knot. 5. The optimal length of lower warp was when the value of dL was about 30m and the optimal position of front weight was at the connection point of four net pendants.

Estimation of Bed Resistance in Gravel-bed Rivers Using the Equivalent Roughness Height (등가조고를 이용한 자갈하천의 하상저항 산정)

  • Kim, Ji-Sung;Kim, Yong-Jeon;Lee, Chan-Joo;Kim, Won
    • Journal of Korea Water Resources Association
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    • v.42 no.8
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    • pp.619-629
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    • 2009
  • The objective of this study is to estimate bed-resistance in gravel-bed rivers using the equivalent roughness height($k_s$). We calculated the friction factor(f) with the measured data from 8 domestic gravel-bed rivers and investigated the size distributions of the bed materials. The averaged $k_s$ in each cross-section, which is determined under the hypothesis that the vertical velocity distribution follows the logarithmic law, is compared with the reach $k_s$ which is calculated with the cumulative grain diameter distribution curve of bed materials. Moreover, the applicability of existing formulae, such as Strickler type equations, is examined by comparing with Manning's n value converted from the $k_s$. According to the results, the reach $k_s$ proves to be a good indicator of representative characteristic of bed materials in a reach, and the Manning's n based on the reach $k_s$ is appropriate for practical estimation of the bed-resistance, for RMS errors between calculated and measured Manning's n is less than 0.003. The correlation between the $k_s$ and specified bed-material size($D_i$) is very low, so it is difficult to select a proper one among the existing empirical equations.