• Title/Summary/Keyword: flow equation

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Prediction of Heat Transfer in Asymmetric Sudden Expansion Flows by using the Modified Boundary Layer Equations (비대칭 급확대 관로 유동장 내의 열전달 해석에 수정된 경계층 방정식의 적용 가능성 추정)

  • Lyu, Myoung-Seok;Maeng, Joo-Sung
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.14 no.4
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    • pp.293-299
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    • 1985
  • This paper describes an economical prediction procedure for heat transfer phenomenon through a channel containing an abrupt asymmetric expansion in flow cross-seetional area. Numerical solutions for the flow field are obtained by the finite difference numerical method applied to the modified boundary layer equations. Modified boundary energy equation is used to analyze heat transfer as modified boundary momentum equation. Predictions of the method compare very favorable with exprimental data. Results of this study by modified boundary layer equation are as follows : 1. The computation time required for the scheme is at least an order of magnitude less than for the numerical solution of the full Navier-stokes and Energy eguations. 2. In laminar flow, the maximum heat transfer occurs downstream of the reattachment point.

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Prediction of the dynamic flow stress

  • Alves, Marcilio
    • Structural Engineering and Mechanics
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    • v.20 no.5
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    • pp.495-504
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    • 2005
  • This article explores a constitutive equation that is able to correlate stress, strain and strain rate. In order to show the advantages of the constitutive equation here proposed and how its material parameters are obtained, data extracted from the literature, for materials as different as polymers and metallic alloys, are used. Finite element simulation of the impact behaviour of a beam is presented to highlight the care one needs to exercise when using the more traditional Cowper-Symonds equation. The present constitutive equation has shown to be accurate for a wide range of strains, stresses and strain rates.

Effective power for interrill erosion by rainfall-induced sheet flow (강우유발 면상흐름에 의한 세류간 침식에 대한 유효동력)

  • Shin, Seung Sook;Park, Sang Deog
    • Journal of Korea Water Resources Association
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    • v.51 no.8
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    • pp.665-676
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    • 2018
  • Interrill erosion on a hillslope results from the combined action of the detachment of soil particles by raindrop impact and the sediment transport of surface runoff. This study newly defined the rainfall power which detaches soil particles and the sheet-flow power contributed to sediment transport in terms of energy expenditure rate of soil erosion and presented the effective power equation for interrill erosion by rainfall-induced sheet flow. The rainfall and sheet-flow power was evaluated by factors related with rainfall, slope, and runoff and coefficients of the power equation were analyzed based on references. Futhermore it was confirmed that the relative scales between the rainfall power and the sheet-flow power according to rainfall intensity reflect on the hydrological response and physical process of interrill erosion. From application of the field data for surface runoff and soil erosion it was verified that the rainfall and sheet-flow power is an appropriate equation to estimate a interrill erosion.

Characteristics of the Pollutants Ronoff on the Tamjin A and B Watershed with Discharge Variation (유량변동에 따른 탐진 A와 B유역에서의 오염물질 유출 특성)

  • Park, Jinhwan;Lim, Byungjin;Jung, Jaewoon;Kim, Daeyoung;Oh, Taeyoun;Lee, Dongjin;Kim, Kapsoon
    • Journal of Environmental Impact Assessment
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    • v.21 no.6
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    • pp.917-925
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    • 2012
  • In this study, we report the runoff characteristics of pollutants for Tamjin A and B watershed in Tamjin river basin using statistical analysis, such as correlation analysis and regression equation. Flow rate and water qualtiy data collected from 2 sampling sites(Tamjin A and B watershed) during 3 years(2009~2011) were analyzed for biochemical oxygen demand(BOD), total nitorgen(TN), total phosphorus(TP) and suspended solid(SS). The results showed that strong correlations were observed between flow rate and SS in Tamjin A, while weak correlations were observed among the BOD, TN, and TP. In Tamjin B, strong correlations were observed among the flow rate, SS and T-P except BOD and TP. Meanwhile, the values of $R^2$ for regression equations between flow rate and pollutants load were greater than 0.7. Results of these statistics indicated that there was a good agreement between flow rate and pollutants load. Also, the flow rate exponents of regression equations for BOD, TN, and TP were smaller than 1 in Tamjin A. In Tamjin B, flow rate exponents of regression equation for BOD and TP were smaller than 1. These results indicated that concentrations of BOD, TN, TP in Tamjin A and concentrations of BOD and TP were decreased as the flow rate was increased. This means that rater than nonpoint sources, point sources affect BOD, TN and TP in Tamjin A and BOD and TP in Tamjin B.

Cavitating-Flow Characteristics around a Horn-Type Rudder (혼 타 주위의 캐비테이팅 유동 특성에 대한 연구)

  • Choi, Jung-Eun;Chung, Seak-Ho;Kim, Jung-Hun
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.3 s.153
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    • pp.228-237
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    • 2007
  • The flow characteristics around a horn-type rudder behind an operating propeller of a high-speed large container carrier are studied through a numerical method in fully wetted and cavitating flow conditions. The computations are carried out in a small scale ratio of 10.00(gap space=5mm) to consider the gap effects. The Reynolds averaged Navier-Stokes equation for a mixed fluid and vapor transport equation applying cavitation model are solved. The axisymmetry body-force distribution technique is utilized to simulate the flow behind an operating propeller. The gap flow, the three-dimensional flow separation, and the cavitation are the flow characteristics of a horn-type rudder. The pattern of three-dimensional flow separation is analyzed utilizing a topological rule. The various cavity positions predicted by CFD were shown to be very similar to rudder erosion positions in real ship rudder. The effect of a preventing cavitation device, a horizontal guide plate, is also investigated.

Quasi-Three Dimensional Calculation of Compressible Flow in a Turbomachine considering Irreversible H-S Flow (터어보 기계(機械) 내부(內部)의 비가역(非可逆) H-S유동(流動)을 고려(考慮)한 준(準)3차원(次元) 유동해석(流動解析))

  • Cho, Kang-Rae;Oh, Jong-Sik
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.3 no.4
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    • pp.241-249
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    • 1991
  • A quasi-three dimensional calculation method is presented on the basis of Wu's idea using finite element methods. In B-B flow the governing equations are cast into a single equation to overcome the restriction of the type of turbomachinery, and Kutta condition is exactly assured by introducing a combination of two kinds of stream functions. In H-S flow a dissipative force which is assumed to be opposed to the relative velocity is added to the governing equation for a consistent loss model. The entropy change along each streamline is then calculated by assuming that the dissipative force may be a force coming from laminar viscous stresses with inviscid velocity distributions. Both the flow solvers are combined to build a three-dimensional flow field through a few iterations. For an effect of the distortion of H-S flow surface the body forces are computed after each B-B flow calculation is finished. Mizuki's centrifugal impellers are tested numerically. The reliability of the numerical solution compared with experimental data is guaranteed.

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IMMERSED BOUNDARY METHOD FOR COMPRESSIBLE VISCOUS FLOW AROUND MOVING BODIES (이동하는 물체 주위의 압축성 유동에 대한 가상경계법)

  • Cho, Yong;Chopra, Jogesh;Morris, Philip J.
    • Journal of computational fluids engineering
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    • v.13 no.3
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    • pp.35-43
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    • 2008
  • A methodology for the simulation of compressible high Reynolds number flow over rigid and moving bodies on a structured Cartesian grid is described in this paper. The approach is based on a modified version of the Brinkman Penalization method. To avoid oscillations in the vicinity of the body and to simulate shcok-containing flows, a Weighted Essentially Non-Oscillatory scheme is used to discretize the spatial flux derivatives. For high Reynolds number viscous flow, two turbulence models of the two-equation Menter's SST URANS model and a two-equation Detached Eddy Simulation are implemented. Some simple flow examples are given to assess the accuracy of the technique. Finally, a moving grid capability is demonstrated.

Modification of Dissipation Rate Equation of Low Reynolds Number k-ε Model Accounting for Adverse Pressure Gradient Effect (역압력구배 영향을 고려한 저레이놀즈수 k-ε 모형의 소산율 방정식 수정)

  • Song, Kyoung;Cho, Kang Rae
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.11
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    • pp.1399-1409
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    • 1999
  • It is known that previous models are unsatisfactory in predicting adverse pressure gradient turbulent flows. In the present paper, a revised low Reynolds number $k-{\varepsilon}$ model is proposed. In this model, a newly developed term is added lo the dissipation rate equation. In order to reflect appropriate effects for an adverse pressure gradient. The added tenn is derived by considering the distribution of mean velocity and turbulent properties in the turbulent flow with, adverse pressure gradient. The new $k-{\varepsilon}$ model was applied to calculations of flat plate flow with adverse pressure gradient, conical diffuser flow and backward facing step flow. It was found that the three numerical results showed better agreement than other models compared with DNS results and experimental ones.

Analysis of Three-Dimensional Mixed Convection Flow About Uniformly Distributed Heat-Generating Blocks on a Conductive Wall (기판 위에 분포된 발열블록 주위의 3차원 혼합대류 열전달 해석)

  • Yun, Byeong-Taek;Choi, Do Hyung
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.23 no.1
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    • pp.1-11
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    • 1999
  • The three-dimensional laminar mixed convection flow between the conductive printed circuit boards. on which the heat generating rectangular blocks are uniformly distributed, has been examined in the present study. The flow and heat-transfer characteristics are assumed to be pseudo periodic in the streamwise direction and symmetric in the cross-stream direction. Using an algorithm of SIMPLER, the continuity equation. the Navier-Stokes equations and the energy equation are solved numerically in the three-dimensional domain Inside the channel. The convective derivative terms are discretized by the QUICK scheme to accurately capture the flow field. The flow and the heat transfer characteristics are thoroughly examined for various Re and Gr.

IMMERSED BOUNDARY METHOD FOR COMPRESSIBLE VISCOUS FLOW AROUND MOVING BODIES (이동하는 물체 주위의 압축성 유동에 대한 가상경계법)

  • Cho, Yong;Chopra, Jogesh;Morris, Philip J.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.10a
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    • pp.200-208
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    • 2007
  • A methodology for the simulation of compressible high Reynolds number flow over rigid and moving bodies on a structured Cartesian grid is described in this paper. The approach is based on a modified version of the Brinkman Penalization method. To avoid oscillations in the vicinity of the body and to simulate shcok-containing flows, a Weighted Essentially Non-Oscillatory scheme is used to discretize the spatial flux derivatives. For high Reynolds number viscous flow, two turbulence models of the two-equation Menter's SST URANS model and a two-equation Detached Eddy Simulation are implemented. Some simple flow examples are given to assess the accuracy of the technique. Finally, a moving grid capability is demonstrated.

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