• Title/Summary/Keyword: Flow Stress Equation

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Non-Newtonian Intrinsic Viscosities of Biopolymeric and Non-biopolymeric Solutions (II)

  • Jang, Chun-Hag;Kim, Chang-Hong;Ree, Taik-Yue
    • Bulletin of the Korean Chemical Society
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    • v.8 no.4
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    • pp.332-335
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    • 1987
  • This paper is a continuation of our previous $paper,^1$ and deals with Eq.(1) (see the text), which was theoretically derived in the $paper,^1$$ [{\eta}]^f\; and\; [{\eta}]^0$ is the intrinsic viscosity at stress f and f = O, respectively. Equation (1) predicts how $[{{\eta}}]^f / [{\eta}]^0$ changes with stress f, relaxation time ${\beta}_2$ of flow unit 2 and a constant $c_2$ related with the elasticity of molecular spring of flow unit 2. In this paper, Eq.(1) is applied to a biopolymer, e.g., poly (${\gamma}$-benzyl L-glutamate), and nonbiopolymers, e.g., polyisobutylene, polystyrene, polydimethylsiloxane and cellulose triacetate. It was found that the $c_2$ factor is zero for non-biopolymers while $c_2{\neq}0$ for biopolymers as found $previously.^1$ Because of the non-Newtonian nature of the solutions, the ratio $[{{\eta}}]^f / [{\eta}]^0$ drops from its unity with increasing f. We found that the smaller the ${\beta}_2,$ the larger the $f_c$ at which the viscosity ratio drops from the unity, vice versa.

Thermoelastoplastic response of FGM linearly hardening rotating thick cylindrical pressure vessels

  • Ebrahimi, Tayebeh;Nejad, Mohammad Zamani;Jahankohan, Hamid;Hadi, Amin
    • Steel and Composite Structures
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    • v.38 no.2
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    • pp.189-211
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    • 2021
  • An analytical solution is presented to analyze the thermoelastoplastic response of a rotating thick-walled cylindrical pressure vessel made of functionally graded material (FGM). The analysis is based on Tresca's yield condition, its associated flow rule and linear strain hardening material behaviour. The uncoupled theory of thermoelasticity is used, and the plane strain condition is assumed. The material properties except for Poisson's ratio, are assumed to vary nonlinearly in the radial direction. Elastic, partially plastic, fully plastic, and residual stress states are investigated. The heat conduction equation for the one-dimensional problem in cylindrical coordinates is used to obtain temperature distribution in the vessel. It is assumed that the inner surface is exposed to an airstream and that the outer surface is exposed to a uniform heat flux. Tresca's yield criterion and its associated flow rule are used to formulate six different plastic regions for a linearly hardening condition. All these stages are studied in detail. It is shown that the thermoelastoplastic stress response of a rotating FGM pressure vessel is affected significantly by the nonhomogeneity of the material and temperature gradient. The results are validated with those of other researchers for appropriate values of the system parameters and excellent agreement is observed.

A Study on the Prediction of Wave Deformation Model (파랑변형 모형의 예측에 관한 연구)

  • Ok, Chi-Yul;Min, Ill-Kyu
    • Journal of Ocean Engineering and Technology
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    • v.9 no.2
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    • pp.41-52
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    • 1995
  • the necessity of development of the Nearshore zone greatly emphasis in recent years. In the wave deformation model, we can get the wave height and wave direction using the hyperbolic mild slope equation considered the reflection wave. Radiation Stress the driving force of flow was calculated by the Watanabe and Maruyama who proposed on the partial standing wave. In the surf zone, applying the Izumiya and Horikawa's turbulent model considered the bottom friction and energy dissipation, we compared and examined with the Numerical model and Hydraulic test result of Watanabe and Maruyama. This model results obtained for Jin-ha Beach agreed well with the Numerical results. This model is expected so helpful to solve the prediction of the wave deformation problems in the development of the Nearshore zone in the future.

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Mathematical expression for the Prediction of Strip Profile in hot rolling mill (열연 판형상 예측 수식모델 개발)

  • Cho Y.S.;Hwang S.M.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.05a
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    • pp.70-73
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    • 2004
  • The approach in this thesis is for prediction of deformed strip profile in hot rolling mill. This approach shows how to make an expression as a mathematical form in predicting strip profile. This approach is based on the velocity field, shear stress and material flow on the strip edge along width direction and lateral displacement and stress along width are analytically calculated. Roll force is calculated in each section and then combined together to show roll force distribution along width. All the assumptions to make equation form for this approach are supported by FEM simulation result and the result of model is verified by FEM result. So, this model will supply very useful tool to the researcher and engineers which takes less time and has similar accuracy in predicting roll force profile comparing to FEM simulation. This model has to be combined with deformed roll profile model, which include thermal crown prediction and wear prediction model to predict deformed strip profile.

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A Boundary Diffusion Creep Model for the Plastic Deformation of Grain Boundary Phase of Nanocrystalline Materials (나노재료 입계상의 소성변형에 대한 입계확산크립 모델)

  • 김형섭;오승탁;이재성
    • Transactions of Materials Processing
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    • v.10 no.5
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    • pp.383-388
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    • 2001
  • In describing the plastic deformation behaviour of ultrafine-grained materials, a phase mixture model in which a polycrystalline material is regarded as a mixture of a crystalline phase and a grain boundary phase has been successful. The deformation mechanism for the grain boundary phase, which is necessary for applying the phase mixture model to polycrystalline materials, is modelled as a diffusional flow of matter along the grain boundary. A constitutive equation for the boundary diffusion creep of the boundary phase was proposed, in which the strain rate is proportional to (stress/grain siz $e^{2}$). The upper limit of the stress of the boundary phase was set to equal to the strength to the amorphous phase. The proposed model can explain the strain rate and grain size dependence of the strength of the grain boundary phase. Successful applications of the model compared with published experimental data are described.

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The Effect of Pressure on Laminar Film Condensation along a Horizontal Plate (수평평판의 층류 막응축에서 압력의 영향)

  • Lee, Euk-Soo;Lee, Sung-Hong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.32 no.12
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    • pp.945-953
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    • 2008
  • Laminar film condensation of saturated vapor in forced flow over a flat plate is analysed. The problem is formulated as exact boundary-layer solution and integral approximate solution. From numerical solutions of the governing equations, it is found that the energy transfer by convection and the effect of inertia term in the momentum equation in negligibly small for low pressure but quite important for high pressure. The condensate rate, liquid-vapor interfacial shear stress and local heat transfer are strongly dependent on the reduced pressure $P_r$ and the modified Jacob number Ja/Pr.

One Dimensional Temperature Distribution in the Base Metal due to Transient Arc welding Heat (순간(瞬間)아아크 용접열(熔接熱)에 의(依)한 모재내(母材內)의 일차원적(一次元的) 온도분포(溫度分布))

  • Jong-Eun,Park
    • Bulletin of the Society of Naval Architects of Korea
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    • v.9 no.2
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    • pp.49-55
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    • 1972
  • The temperature distribution and cooling rate play an important role in the investigation of heat affected zone of weldment. All the problems such as metallurgical changes, welding thermal stress, welding residual stress and welding deformation in the heat affected zone of welded joint are due to the temperature distribution and cooling rate. In this paper, one dimensional temperature distribution and cooling rate due to transient arc welding heat in the heat affected zone of the base metal are studied. Heat transfer equation for one dimensional heat flow is formed, and solution is obtained. Weld heat input formula is also formed and used. Computed numerical results show a good agreement with the experimented temper color.

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Finite element analysis of axisymmetric extrusion with strain rate sensitive materials (속도의존성 재료에 대한 축대칭 전방압출의 유한요소 해석)

  • 최재찬;김병민;이종수;조남춘
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.537-543
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    • 1991
  • In this study, the strain rate effects are considered in the formulation by introducing the constitutive equation of the strain rate sensitive materials and rigid-viscoplastic finite element program is developed for axisymmtric extrusion. The effect of strain rate sensitivity on the flow characteristics and forming pressure are investigated and the experiments are carried out for extrusion with pure lead specimens. The theoretically predicted forming pressure showed reasonably good agreement with the experimental values.

HEAT-TRANSFER ANALYSIS OF A COOLING CHANNEL WITH INCLINED ELLIPTICAL DIMPLES (기울어진 타원형 딤플이 부착된 냉각 유로에 대한 열전달 성능해석)

  • Kim, H.M.;Moon, M.A.;Kim, K.Y.
    • Journal of computational fluids engineering
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    • v.17 no.1
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    • pp.1-7
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    • 2012
  • This paper deals with a parametric study on inclined elliptical dimples to enhance heat transfer in a channel. Three-dimensional Reynolds-averaged Naiver-Stokes equations are solved to estimate flow and heat transfer in dimpled channel. As turbulence closure, the low-Re shear stress transport model is employed. Two non-dimensional geometric variables, dimple ellipse diameter ratio and angle of main diameter to flow direction are selected for the parametric study. The inclined elliptical dimples show higher heat-transfer performance but with higher pressure drop compared to the circular dimples. And there is an optimum inclination angle that gives the maximum heat transfer.

VORTEX SHEAR VELOCITY AND ITS EROSION IN THE SCOUR HOLE

  • Lee, Hong-Sik;Kim, Jin-Hong;Lee, Sam-Hee
    • Water Engineering Research
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    • v.1 no.4
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    • pp.259-266
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    • 2000
  • Scour hole is formed due to the high shear stress of the jet flow at the outlet of a hydraulic structure and vortex erosion occurs in the scour hole. It is important to determine the amount of vortex erosion occurs in the scour hole. It is important to determine the amount of vortex erosion for the design of bed protection. If the vortex erosion continues and reaches to the hydraulic structure, it causes the deformation of the structure itself. To obtain the amount of the vortex erosion, it is necessary to determine the shear velocity of the line vortex in the scour hole was derived by the theory of energy conservation and found to be related to the upstream overflow velocity. The amount of vortex erosion from the scour hole was obtained using entrainment equation for given value of shear velocity. For a design purpose, if the flow velocity at the end of an apron and the properties of bed material are given, the amount of vortex erosion was obtained.

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