• Title/Summary/Keyword: internal boundary conditions

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Analysis of Velocity Structures and Shear Stresses by Parameters and Internal Boundary Conditions of Depth-averaged Flow Model (수심평균 유동 모형의 매개변수와 내부 경계조건에 따른 유속구조 및 전단력 분석)

  • Song, Chang Geun;Woo, In Sung;Oh, Tae Keun
    • Journal of the Korean Society of Safety
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    • v.28 no.5
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    • pp.54-60
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    • 2013
  • In this study, a finite element model based on the SU/PG scheme was developed to solve shallow-water equations and the influences of parameters and internal boundary conditions on depth-averaged flow behavior were investigated. To analyze the effect of roughness coefficient and eddy viscosity on flow characteristics, the developed model was applied to rectangular meandering channel with two bends, and transverse velocities and water depth distributions were examined. As the roughness coefficient adjacent to wall increased, the velocities near the wall decreased, and the reduced velocities were compensated by the expanding mid-channel velocities. In addition, the flow characteristics around a circular cylinder were analyzed by varying the internal boundary conditions as free slip and no slip. The assignment of slip condition changed the velocity distribution on the cylinder surface and reduced the magnitude of the shear stress up to one third.

Inflow Conditions for Modelling the Neutral Equilibrium ABL Based on Standard k-ε Model

  • Jinghan Wang;Chao Li;Yiqing Xiao;Jinping ou
    • International Journal of High-Rise Buildings
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    • v.11 no.4
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    • pp.331-346
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    • 2022
  • Reproducing the horizontally homogeneous atmospheric boundary layer in computational wind engineering is essential for predicting the wind loads on structures. One of the important issues is to use fully developed inflow conditions, which will lead to the consistence problem between inflow condition and internal roughness. Thus, by analyzing the previous results of computational fluid dynamic modeling turbulent horizontally homogeneous atmospheric boundary layer, we modify the past hypotheses, detailly derive a new type of inflow condition for standard k-ε turbulence model. A group of remedial approaches including formulation for wall shear stress and fixing the values of turbulent kinetic energy and turbulent dissipation rate in first wall adjacent layer cells, are also derived to realize the consistence of inflow condition and internal roughness. By combing the approaches with four different sets of inflow conditions, the well-maintained atmospheric boundary layer flow verifies the feasibility and capability of the proposed inflow conditions and remedial approaches.

Tailoring the second mode of Euler-Bernoulli beams: an analytical approach

  • Sarkar, Korak;Ganguli, Ranjan
    • Structural Engineering and Mechanics
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    • v.51 no.5
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    • pp.773-792
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    • 2014
  • In this paper, we study the inverse mode shape problem for an Euler-Bernoulli beam, using an analytical approach. The mass and stiffness variations are determined for a beam, having various boundary conditions, which has a prescribed polynomial second mode shape with an internal node. It is found that physically feasible rectangular cross-section beams which satisfy the inverse problem exist for a variety of boundary conditions. The effect of the location of the internal node on the mass and stiffness variations and on the deflection of the beam is studied. The derived functions are used to verify the p-version finite element code, for the cantilever boundary condition. The paper also presents the bounds on the location of the internal node, for a valid mass and stiffness variation, for any given boundary condition. The derived property variations, corresponding to a given mode shape and boundary condition, also provides a simple closed-form solution for a class of non-uniform Euler-Bernoulli beams. These closed-form solutions can also be used to check optimization algorithms proposed for modal tailoring.

Optimisation of symmetric laminates with internal line supports for maximum buckling load

  • Walker, M.
    • Structural Engineering and Mechanics
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    • v.6 no.6
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    • pp.633-641
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    • 1998
  • Finite element solutions are presented for the optimal design of symmetrically laminated rectangular plates with various types of internal line supports. These plates are subject to a combination of simply supported, clamped and free boundary conditions. The design objective is the maximisation of the biaxial buckling load. This is achieved by determining the fibre orientations optimally with the effects of bending-twisting coupling taken into account. The finite element method coupled with an optimisation routine is employed in analysing and optimising the laminated plate designs. The effect of internal line support type and boundary conditions on the optimal ply angles and the buckling load are numerically studied. The laminate behavior with respect to fibre orientation changes significantly in the presence of internal line supports as compared to that of a laminate where there is no internal supporting. This change in behavior has significant implications for design optimisation as the optimal values of design variables with or without internal supporting differ substantially.

Applications of Characteristic Boundary Conditions within CFDS Numerical Framework (CFDS기법에 연계된 특성경계조건에 응용성에 대한 소개)

  • Hong S. K.;Lee K. S.
    • Journal of computational fluids engineering
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    • v.5 no.1
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    • pp.43-59
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    • 2000
  • Characteristic boundary conditions are discussed in conjunction with a flux-difference splitting formulation as modified from Roe's linearization. Details of how one can implement the characteristic boundary conditions which are made compatible with the interior point formulation are described for different types of boundaries including subsonic outflow and adiabatic wall. The validity of boundary conditions are demonstrated through computation of transonic airfoil, supersonic ogive-cylinder, hypersonic cylinder, and S-duct internal flows. The computed wall pressure distributions are compared with published experimental and computed data. Objectives of this paper are thus to give insight of formulation procedure of a flux-difference splitting method and to pave ways for other users to adopt present boundary procedure on their numerical methods.

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Effect of Boundary Conditions on Internal Coolant Flow in Gas Turbine Blades (경계 조건이 가스터빈 블레이드 냉각공기 유량에 미치는 영향)

  • Shin, Jee-Young;Park, Byung-Kyu
    • Proceedings of the KSME Conference
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    • 2001.06d
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    • pp.559-564
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    • 2001
  • Advanced gas turbine engines employ turbine entry temperatures so high that cooling of the turbine blades is essential. The coolant flow introduces losses which need to be minimized, and therefore it is important that the minimum amount of coolant is used. This work presents the result of the one-dimensional analysis and the effect of the boundary conditions on coolant flow rate in gas turbine blades.

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A Study on Boundary Conditions of Piston Thermal Loading Analysis in Internal Combustion Engines (내연기관 피스톤의 열부하 해석을 위한 경제조건 설정에 관한 연구)

  • 정동수;조용석;최헌오;이진형
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.3
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    • pp.528-533
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    • 1988
  • The assignment of boundary conditions for the piston thermal loading analysis in internal combustion engine has been tested using the thermal circuit method with an engine simulation program. In an attempt to examine the accuracy of the employed boundary condition, another thermal boundary condition has been sought for through the electrolytic tank analogue method. Comparison of calculated temperature distributions obtained from these two boundary conditions with measured temperature values reveals that the electrolytic tank analogue method gives excellent agreement. However, the thermal circuit method has been found to be reasonable for practical applications, if modified partially.

Flow Characteristics According to Velocity Conditions of Cylinder Boundary Under Low Reynolds Number (저 레이놀즈 수에서 실린더 경계 유속조건에 따른 흐름 특성)

  • Song, Chang Geun;Seo, Il Won;Kim, Tae Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.33 no.6
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    • pp.2267-2275
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    • 2013
  • Existing conventional model for analysis of shallow water flow just assumed the internal boundary condition as free-slip, which resulted in the wrong prediction about the velocity, vorticity, water level, shear stress distribution, and time variation of drag and lift force around a structure. In this study, a finite element model that can predict flow characteristics around the structure accurately was developed and internal boundary conditions were generalized as partial slip condition using slip length concept. Laminar flow characteristics behind circular cylinder were analyzed by varying the internal boundary conditions. The simulation results of (1) time variations of longitudinal and transverse velocities, and vorticity; (2) wake length; (3) vortex shedding phenomena by slip length; (4) and mass conservation showed that the vortex shedding had never observed and laminar flow like creeping motion was occurred under free-slip condition. Assignment of partial slip condition changed the velocity distribution on the cylinder surface and influenced the magnitude of the shear stress and the occurrence of vorticity so that the period of vortex shedding was reduced compared with the case of no slip condition. The maximum mass conservation error occurred in the case of no slip condition, which had the value of 0.73%, and there was 0.21 % reduction in the maximum mass conservation error by changing the internal boundary condition from no slip to partial slip condition.

Comprehensive study of internal modals interactions: Comparison of various axial nonlinear beam theories

  • Somaye Jamali Shakhlavi;Reza Nazemnezhad
    • Advances in nano research
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    • v.16 no.3
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    • pp.273-288
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    • 2024
  • The geometrical nonlinear vibrations of the gold nanoscale rod are investigated for the first time by considering the internal modals interactions using different nonlinear beam theories. This phenomenon is usually one of the important features of nonlinear vibration systems. For a more detailed analysis, the von-Karman effects, preserving all the nonlinear terms in the strain-displacement relationships of gold nanoscale rods in three displacement directions, are considered to analyze the nonlinear axial vibrations of gold nanoscale rods. It uses highly accurate analytical-numerical solutions for the clamped-clamped and clamped-free boundary conditions of nanoscale gold rods. Also, with the help of Hamilton's principle, the governing equation and boundary conditions are derived based on Eringen's theory. The influence of nonlinear and nonlocal factors on axial vibrations was investigated separately for all three theories: Simple (ST), Rayleigh (RT) and Bishop (BT). Using different theories, the effects of inertia and shear on the internal resonances of gold nanorods were studied and compared in terms of twoto-one and three-to-one internal resonances. As the nonlocal parameter of the gold nanorod increases, the maximum nonlinear amplitude occurs. So, by adding nonlocal effects in a gold nanorod, the internal modal interactions resulting from the unique structure can be enhanced. It is worth noting that shear and inertial analysis have a significant effect on internal modal interactions in gold nanorods.

The Contingent Effect of Marketing Alliances on Firm Profitability

  • Lee, Jongkuk
    • Asia Marketing Journal
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    • v.16 no.4
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    • pp.19-37
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    • 2015
  • Forming interfirm collaborative relationships has become a key aspect of a firm's marketing strategies to create value for customers and achieve greater firm performance. While empirical findings are mixed in previous studies, this study is an effort to identify boundary conditions for the benefits of marketing alliances. We investigate internal and environmental factors that may magnify or constrain the effect of marketing alliances on firm profitability. Given the complementary relationship between marketing and R&D activities, we focus on a firm's R&D intensity as an internal factor that may magnify the value of marketing alliances for firm performance. For environmental factors, we focus on industry turbulence and industry competitiveness. Industry turbulence refers to the degree to which industry market conditions change quickly and unpredictably, whereas industry competitiveness refers to the degree to which a firm faces competition in the industry. By testing these factors, we are intended to reveal boundary conditions that determine the value of marketing alliances for firm profitability. The analysis of firms in the diverse industries shows that while the main effect of marketing alliances on firm profitability is not significant, it becomes more positive when R&D investment is more intensive or when industry environment is more turbulent. The results of this study imply that just forming more marketing alliances may not be enough to increase firm profitability. Our findings imply that marketing alliances become more effective in a dynamically changing industry environment. That is, firms can cope with industry uncertainties more effectively by forming marketing alliances. At the same time, the moderating effect of R&D intensity implies that the internal investments in R&D magnify the effect of marketing alliances on firm profitability. The findings of this study contributes to the existing alliance literature in three aspects. First, this study enhances our understanding of the contingent value of marketing alliances by testing both internal and external factors that may influence the effectiveness of marketing alliances. Second, this study responds to the need for research that investigates actual performance resulting from interfirm relationships. Third, while previous studies primarily focused on a specific industry, this study extend previous findings of the boundary conditions for the benefits of marketing alliances in a broader context.