• Title/Summary/Keyword: phi coefficient

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Numerical Predictions of Heat Transfer in the Fluidized Bed Heat Exchanger

  • Ahn, Soo-Whan
    • Journal of agriculture & life science
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    • v.44 no.4
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    • pp.29-43
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    • 2010
  • The numerical analysis by using CFX 11.0 commercial code was done for proper design of the heat exchanger. The present experimental studies were also conducted to investigate the effects of circulating solid particles on the characteristics of fluid flow, heat transfer and cleaning effect in the fluidized bed vertical shell and tube type heat exchanger with counterflow, at which a variety of solid particles such as glass ($3mm{\Phi}$), aluminum ($2{\sim}3mm{\Phi}$), steel ($2{\sim}2.5mm{\Phi}$), copper ($2.5mm{\Phi}$) and sand ($2{\sim}4mm{\Phi}$) were used in the fluidized bed with a smooth tube. Seven different solid particles have the same volume, and the effects of various parameters such as water flow rates, particle diameter, materials and geometry were investigated. The present experimental and numerical results showed that the flow velocity range for collision of particles to the tube wall was higher with heavier density solid particles, and the increase in heat transfer was in the order of sand, copper, steel, aluminum, and glass. This behavior might be attributed to the parameters such as surface roughness or particle heat capacity.

EXISTENCE AND ITERATION OF POSITIVE SOLUTION FOR A THREE-POINT BOUNDARY VALUE PROBLEM WITH A p-LAPLACIAN OPERATOR

  • Ma, De-Xiang
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.329-337
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    • 2007
  • In the paper, we obtain the existence of positive solutions and establish a corresponding iterative scheme for BVPs $$\{^{\;(\phi_p(u'))'\;+\;q(t)f(t,u)=0,\;0\;<\;t\;<\;1,}_{\;u(0)\;-\;B(u'({\eta}))\;=\;0,\;u'(1)\;=\;0}$$ and $$\{^{\;(\phi_p(u'))'\;+\;q(t)f(t,u)=0,\;0\;<\;t\;<\;1,}_{\;u'(0)\;=\;0,\;u(1)+B(u'(\eta))\;=\;0.}$$. The main tool is the monotone iterative technique. Here, the coefficient q(t) may be singular at t = 0, 1.

A Quantitative Model for Estimating Fishery Production Damages as a Result of Thermal Effluents from Nuclear Power Plants (원자력발전소의 온배수 배출량을 고려한 어업생산감소율 추정 모델)

  • Zhang, Chang-Ik;Lee, Sung-Il;Lee, Jong-Hee
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.42 no.5
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    • pp.494-502
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    • 2009
  • A quantitative model was developed in order to estimate fishery production damage due to anthropogenically induced environmental changes. The model is described in the following equation, $Y_D=\frac{{\phi}_D}{{\phi}_G}[Y_0{\cdot}(t_p-t_0)-\frac{Y_0}{{\phi}_G}(1-e^{-{\phi}_G(t_p-t_0)})]$, where, $Y_D$ is annual amount of fishery production by nuclear power plant. ${\varphi}$ D and ${\varphi}$ G are instantaneous decreasing coefficient of fishery production by nuclear power plant and instantaneous decreasing coefficient of gross fishery production, respectively. $Y_0$ is annual mean fishery production without damages. $t_p$ is the present time, and $t_0$ is the starting time of damages. The model was applied to fishing grounds near a nuclear power plant on the east coast of Korea. Since fishery production damages have become bigger with increasing emission of thermal effluents from generators activities in the power plant, this factor has also been considered as, $\delta_{D_i}=\delta_D\({\sum}\limits_{i=0}^{n}\;W_i/W_T\)$, where, $\delta_{Di}$ is the cumulative damage rate in fishery production from generators, $\delta_D$ is the total cumulative damage rate in fishery production, $W_i$ is the emission amount of thermal effluents by generator i, and n is the number of generators in the nuclear power plant. This model can be used to conduct initial estimates of fishery production damages, before more detailed assessments are undertaken.

Application of the $\phi=0$ Analysis for Dredged and Reclaimed Ground (준설매립지반에 대한 $\phi=0$ 해석의 적용성)

  • Kim, Ju-Hyun;Jeong, Sang-Kug;Shim, Min-Bo;Lee, Song
    • Journal of the Korean Geotechnical Society
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    • v.20 no.1
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    • pp.21-27
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    • 2004
  • In this test, there was two-dimensional model loading test implemented for analysis with respect to the problem of evaluating bearing capacity and the application range on the dredged and reclaimed ground, so it was possible to get the following result by comparing a result of loading test and an equation proposed previously. When the difference between average undrained shea. strength by (equation omitted)B of loading board width and the strength under. (equation omitted)B is mere than $\pm50%$, the applicability of Nc(coefficient of bearing capacity where $\phi=0$ analysis is considered in the single layer) was declined. As well, using Nc=5.7, 5.14(coeffcient of bearing capacity where $\phi=0$ analysis is applicable to saturated clay without special limit) for evaluating bearing capacity on the dredged and reclaimed ground causes poor applicability, therefore that seem to be applicable when water content is less than about 75% which makes the unconfined compression test possible.

Internal pressures in buildings with a dominant opening and background porosity

  • Kim, P.Y.;Ginger, J.D.
    • Wind and Structures
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    • v.16 no.1
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    • pp.47-60
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    • 2013
  • A dominant opening in a windward wall, which generates large internal pressures in a building, is a critical structural design criterion. The internal pressure fluctuations are a function of the dominant opening area size, internal volume size and external pressure at the opening. In addition, many buildings have background leakage, which can attenuate internal pressure fluctuations. This study examines internal pressure in buildings for a range of dominant opening areas, internal volume sizes and background porosities. The effects of background porosity are incorporated into the governing equation. The ratio of the background leakage area $A_L$ to dominant opening area $A_W$ is presented in a non-dimensional format through a parameter, ${\phi}_6-A_L/A_W$. Background porosity was found to attenuate the internal pressure fluctuations when ${\phi}_6$ is larger than 0.2. The dominant opening discharge coefficient, ${\kappa}$ was estimated to lie between 0.05 to 0.40 and the effective background porosity discharge coefficient ${\kappa}^{\prime}_L$, was estimated to be between 0.05 to 0.50.

Characteristic of Mass Transfer Volumetric Coefficient and Sauter Mean Diameter in a Liquid-Liquid Agitated Vessel (액-액 교반조내에서의 물질이동용량계수 및 액적경의 특성)

  • Lee, Young-Sei
    • Korean Chemical Engineering Research
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    • v.50 no.5
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    • pp.913-922
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    • 2012
  • Grasp of characteristics within liquid-liquid agitated vessel are very important to environment and chemical industry. Mass transfer volumetric coefficient and the Sauter mean diameter of near the droplet were measured by varying the impeller position and liquid height using the alkaline hydrolysis reaction of esters. As a result, following their good correlation was obtained. $$d_{32}=0.270\(\frac{{\sigma}^{0.6}}{{\rho}^{0.2}P^{0.4}_{Vi}}\)k_La=0.49\(\frac{6{\phi}D_A}{d^2_{32}}\)\(\frac{P_Vd^4_{32}}{{\rho}v^3}\)^{0.193}Sc^{1/3}$$.

Measurement of secondary electron emission coefficient(${\gamma}$) with oblique low energy ion and work function ${\phi}_{\omega}$ of theMgO thin film in AC-PDPs

  • Park, W.B.;Lim, J.Y.;Oh, J.S.;Jeong, H.S.;Jung, K.B.;Jeon, W.;Cho, G.S.
    • 한국정보디스플레이학회:학술대회논문집
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    • 2004.08a
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    • pp.507-510
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    • 2004
  • Oblique ion-induced secondary electron emission coefficient(${\gamma}$) with low energy ..and work function ${\phi}_{\omega}$(${\theta}$ = 0 and ${\theta}$ = 20) of the MgO thin film in AC-PDPs has been measured by ${\gamma}$-FIB system. The MgO thin film has been deposited from sintered material under electron beam evaporation method. The energy of $He^+$ ions used has been ranged from 50eV to 150eV. Oblique ion beam has been chosen to be 10 degree, 20 degree and 30 degree. It is found that the higher secondary electron emission coefficient(${\gamma}$) has been achieved by the higher oblique ion beam up to inclination angle of 30 degree than the perpendicular incident ion beam.

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Work Function Changes on MgO Protective Layer after O2plasma Treatment from Ion-induced Secondary Electron Emission Coefficient (산소 플라즈마 처리후의 이차전자방출계수(γ)를 이용한 MgO 보호막의 일함수(φW) 변화)

  • Jeong, Jae-Cheon;Yu, SeGi;Cho, Jaewon
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.18 no.3
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    • pp.259-263
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    • 2005
  • The changes in secondary electron emission coefficient(${\gamma}$) and work function($\Phi$$_{\omega}$) have been studied on the surface of MgO protective layer aster plasma(Ar. $O_2$) treatment using ${\gamma}$-focused ion beam (${\gamma}$-FIB) system. The values of ${\gamma}$ varied as follows: $O_2$-treated MgO > Ar-treated MgO > Non-treated MgO, and the work functions varied in the reverse order. The result indicates that both the physical etching and the chemical reaction of $O_2$-plasma removed the contaminating materials from the surface of MgO.

APPROXIMATE ESTIMATION OF RECRUITMENT IN FISH POPULATION UTILIZING STOCK DENSITY AND CATCH (밀도지수와 어획량으로서 수산자원의 가입량을 근사적으로 추정하는 방법)

  • KIM Kee Ju
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.8 no.2
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    • pp.47-60
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    • 1975
  • For the calculation of population parameter and estimation of recruitment of a fish population, an application of multiple regression method was used with some statistical inferences. Then, the differences between the calculated values and the true parameters were discussed. In addition, this method criticized by applying it to the statistical data of a population of bigeye tuna, Thunnus obesus of the Indian Ocean. The method was also applied to the available data of a population of Pacific saury, Cololabis saira, to estimate its recuitments. A stock at t year and t+1 year is, $N_{0,\;t+1}=N_{0,\;t}(1-m_t)-C_t+R_{t+1}$ where $N_0$ is the initial number of fish in a given year; C, number o: fish caught; R, number of recruitment; and M, rate of natural mortality. The foregoing equation is $$\phi_{t+1}=\frac{(1-\varrho^{-z}{t+1})Z_t}{(1-\varrho^{-z}t)Z_{t+1}}-\frac{1-\varrho^{-z}t+1}{Z_{t+1}}\phi_t-a'\frac{1-\varrho^{-z}t+1}{Z_{t+1}}C_t+a'\frac{1-\varrho^{-z}t+1}{Z_{t+1}}R_{t+1}......(1)$$ where $\phi$ is CPUE; a', CPUE $(\phi)$ to average stock $(\bar{N})$ in number; Z, total mortality coefficient; and M, natural mortality coefficient. In the equation (1) , the term $(1-\varrho^{-z}t+1)/Z_{t+1}$s almost constant to the variation of effort (X) there fore coefficients $\phi$ and $C_t$, can be calculated, when R is a constant, by applying the method of multiple regression, where $\phi_{t+1}$ is a dependent variable; $\phi_t$ and $C_t$ are independent variables. The values of Mand a' are calculated from the coefficients of $\phi_t$ and $C_t$; and total mortality coefficient (Z), where Z is a'X+M. By substituting M, a', $Z_t$, and $Z_{t+1}$ to the equation (1) recruitment $(R_{t+1})$ can be calculated. In this precess $\phi$ can be substituted by index of stock in number (N'). This operational procedures of the method of multiple regression can be applicable to the data which satisfy the above assumptions, even though the data were collected from any chosen year with similar recruitments, though it were not collected from the consecutive years. Under the condition of varying effort the data with such variation can be treated effectively by this method. The calculated values of M and a' include some deviation from the population parameters. Therefore, the estimated recruitment (R) is a relative value instead of all absolute one. This method of multiple regression is also applicable to the stock density and yield in weight instead of in number. For the data of the bigeye tuna of the Indian Ocean, the values of estimated recruitment (R) calculated from the parameter which is obtained by the present multiple regression method is proportional with an identical fluctuation pattern to the values of those derived from the parameters M and a', which were calculated by Suda (1970) for the same data. Estimated recruitments of Pacific saury of the eastern coast of Korea were calculated by the present multiple regression method. Not only spring recruitment $(1965\~1974)$ but also fall recruitment $(1964\~1973)$ was found to fluctuate in accordance with the fluctuations of stock densities (CPUE) of the same spring and fall, respectively.

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Effects of an Anisotropic Consolidation on the Undrained Shear Strength of a Normally Consolidated Clay (정규압밀점토의 비배수 전단강도에 대한 이방압밀효과)

  • 강병희;윤호창
    • Geotechnical Engineering
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    • v.10 no.1
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    • pp.63-70
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    • 1994
  • In-situ soil is anisotropically consolidated at rest, and the coefficient of earth pressure at rest $K_0$ is dependent on the properties of soil and stress history. In order to estimate roughly the in-situ undrained shear strength of a $K_0$-anisotropically normally consolidated clay from isotropic consolidated undrained test, consolidated undrained shear testy with four different consolidation pressure ratios ($K={\sigma}'_{3c}/{\sigma}'_{1c}$) were performed and test results showed K-$\alpha$ relationship, representing the strength ratio $\alpha$ as ($S_u/{\sigma}'_{1c})_{CKU}=\alpha(S_u/{\sigma}'_{1c})_{CIU}$. Strength ratio u increases with increasing consolidation pressure ratio. And the angle of internal friction $\Phi'$and angle ratio $\Phi'_{CKU}/\Phi'_{CIU}/$ are increased with the increament of K-value.

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