• Title/Summary/Keyword: Solution flow

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ANALYTICAL SOLUTION OF COUPLED RADIATION-CONVECTION DISSIPATIVE NON-GRAY GAS FLOW IN A NON-DARCY POROUS MEDIUM

  • Darvishi, Mohammad Taghi;Khani, Farzad;Aziz, Abdul
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1203-1216
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    • 2010
  • The homotopy analysis method (HAM) has been applied to develop an analytic solution for the coupled radiation-convection dissipative non-gray gas flow in a non-Darcy porous medium. Results are presented for the surface shear and temperature profiles are presented to illustrate the effect of various parameters appearing in the analytical formulation. The accuracy and convergence of the method is also discussed.

ASYMPTOTIC SOLUTIONS OF HYDRODYNAMIC INTERFACIAL INSTABILITIES IN CYLINDRICAL FLOW

  • Sohn, Sung-Ik
    • The Pure and Applied Mathematics
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    • v.20 no.4
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    • pp.259-267
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    • 2013
  • We present a high-order potential flow model for the motion of hydrodynamic unstable interfaces in cylindrical geometry. The asymptotic solutions of the bubbles in the gravity-induced instability and the shock-induced instability are obtained from the high-order model. We show that the model gives significant high-order corrections for the solution of the bubble.

Optimal Governor Response Power Flow with Nonlinear Interior Point Method (비선형 내점법을 이용한 최적 조속기 응동 조류계산)

  • Kim, Tae-Gyun;Lee, Byong-Joon;Song, Hwa-Chang;Cha, Jun-Min
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.9
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    • pp.1527-1534
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    • 2007
  • This paper proposes a new concept of optimal governor-response power flow (OGPF) to obtain an optimal set of control parameters when the systems are in mid-term conditions after disturbances, ignoring the system dynamics. The idea of GOPF simply comes from the attempt to find an optimal solution of the governor-response power flow (GPF), which is a pre-exiting tool that is used to get power flow solutions that would exist several seconds after an event is applied. GPF incorporates the simplified model of governors in the systems into the power flow equations. This paper explains the concept of OGPF and depicts the OGPF formulation and application of a nonlinear interior point method as the solution technique. Also, this paper includes an example with New England 39-bus test system to illustrate the effectiveness of GOPF.

Calculation of three-dimensional flow in turbo impellers (터어보 回轉車 內의 3次元 流動의 數値計算)

  • 조강래;방영석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.751-757
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    • 1986
  • A three-dimensional calculation is presented on the basis of Wu's theory of quasi-three-dimensional flow in turbo impellers. For the calculation of flow on the Blade-to-Blade stream surface, the finite element method is applied. In this work it is shown that the Kutta condition and the periodicity can be satisfied rationally by the technique of combining a basic through flow in the flow passage and a circulating flow around the blade. The results of numerical calculation are compared with those of the exact solution of the Gostelow's straight cascade and of the experimental results of pressure distribution on the rotating blade surface. It is found that the numerical solutions are in good agreement with the theoretical solution and the experimental results.

A flow phenomenon of aquaous polymer solution in couette flow of concentric cylinder with wide circular (넓은 환상간극을 가진 동심원통속의 couette 흐름에서 고분자수용액의 유동현상)

  • 권혁칠;이성노;정진도
    • Journal of the korean Society of Automotive Engineers
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    • v.15 no.3
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    • pp.81-88
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    • 1993
  • This report describes the experimental research on the flow phenomena of the aq uaous polymer solution within the Cuette flow of the concentric, cylinders type with a wide circular gap. We have investigated the phenomena of the fluid flow through torque measuring in the system that the inner cylinder is stationary and the outer one is rotating. Geometrical parameters of the system are the gap ratio of t/R$_{0}$=0.2 and Aspect ratio of l/t=100. The torque increases considerably in about 420-480RPM, So, it is considered a turbulent transition boundary, the higher plymer concentration is, the lower torque value is and the higher transition Reynolds number is. In each of the polymer concentration, the unstable boundary of torque, that is, idiosyncrasies of torque is observed around 220-280RPM. and the boundary is looked upon as a resonant vibration which is caused by the inner cylinder and tortional vibration of torque sensor.r.

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TWO-DIMENSIONAL STAGNATION FLOW TOWARD A PLANE WALL COATED WITH MAGNETIC FLUID OF UNIFORM THICKNESS (균일 두께의 자성유체 피막이 있는 평면 벽을 향하는 2차원 정체 유동)

  • Ko, Hyung-Jong;Kim, Kyoung-Hoon;Kim, Se-Woong
    • Journal of computational fluids engineering
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    • v.12 no.4
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    • pp.20-27
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    • 2007
  • Two-dimensional stagnation flow toward a plane wall coated with magnetic fluid of uniform thickness is investigated. The flow field is represented as a similarity solution of the Navier-Stokes equation for this incompressible laminar flow. The resulting third order ordinary differential equation is solved numerically by using the shooting method and by determining two shooting parameters so as to satisfy the boundary and interface conditions. Features of the flow including streamline patterns are investigated for the varying values of density ratio, viscosity ratio, and Reynolds number. An adverse flow with double eddy pair in magnetic fluid region is found to emerge as the Reynolds number becomes higher than a threshold value. The results for the interface velocity, interface and wall shear stress, and boundary layer and displacement thickness are also presented.

The Improvement of Continuation Power Flow System Including the Algorithm of Practical Step Length Selection (실용적인 스텝크기 선택 알고리듬을 고려한 연속조류계산 시스템의 개발)

  • Song, Hwa-Chang;Lee, Byong-Jun;Kwon, Se-Hyuk
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.3
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    • pp.190-196
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    • 1999
  • Continuation power flow has been developed to remove the ill-condition problem caused by singularity of power flow Jacobian at and near at steady-state voltage instability point in conventional power flow. Continuation power flow consists of predictor and corrector. In prddictor, the direction vector at the resent solution is caluculated and the initial guess of next solution is determined at the distance of step length. The selection of step length is a very important part, since computational speed and convergence performance are both greatly affected by the choice of the step length. This paper presents the practical step length selection algorithm using the reactive power generation sensitivith. In numulation, the proposed algorithm is compared with step length selection algorithm using TVI(tangent vector index).

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Physics-based modelling for a closed form solution for flow angle estimation

  • Lerro, Angelo
    • Advances in aircraft and spacecraft science
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    • v.8 no.4
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    • pp.273-287
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    • 2021
  • Model-based, data-driven and physics-based approaches represent the state-of-the-art techniques to estimate the aircraft flow angles, angle-of-attack and angle-of-sideslip, in avionics. Thanks to sensor fusion techniques, a synthetic sensor is able to provide estimation of flow angles without any dedicated physical sensors. The work deals with a physics-based scheme derived from flight mechanic theory that leads to a nonlinear flow angle model. Even though several solvers can be adopted, nonlinear models can be replaced with less accurate but straightforward ones in practical applications. The present work proposes a linearisation to obtain the flow angles' closed form solution that is verified using a flight simulator. The main objective of the paper, in fact, is to analyse the estimation degradation using the proposed closed form solutions with respect to the nonlinear scheme. Moreover, flight conditions, where the proposed closed form solutions are not applicable, are identified.

Cycle Analysis of Hot Water Driven Absorption Refrigerator with New Working Absorption Solution (신흡수용액을 이용한 중온수 흡수식 냉동기의 사이클 해석)

  • Gwon, O-Gyeong;Yun, Jae-Ho;Mun, Chun-Geun;Yun, Jeong-In
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.9
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    • pp.1241-1248
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    • 2002
  • Performance extension of the absorption refrigerator with LiBr solution is often faced to operate very close to the crystallization limit. Especially in the development of an air-cooled cycle, the crystallization of working solution in the system is a very difficult problem to overcome. This paper describes the cycle of hot water driven absorption system using a new working absorption solution instead of LiBr solution to improve the efficiency. In this study, we found out the characteristics of new working absorption solution through the cycle simulation and compared LiBr solution to evaluate. The effect of cooling water temperature, weak solution flow rate, hot water temperature and hot water flow rate were also examined. The COP is increased 22% higher in the case of LiBr+Li1+LiC1+LiNO$_3$$H_2O$, 2% LiBr+HO(CH$_2$)$_3$OH+$H_2O$ than that of LiBr solution for the same operation condition.

Flow of a low concentration polyacrylamide fluid solution in a channel with a flat plate obstruction at the entry

  • Kabir, M.A.;Khan, M.M.K.;Rasul, M.G.
    • Korea-Australia Rheology Journal
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    • v.16 no.2
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    • pp.63-73
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    • 2004
  • Flow in a channel with an obstruction at the entry can be reverse, stagnant or forward depending on the position of the obstruction. These flow phenomena have potential applications in the control of energy and various flows in process engineering. Parameters that affect this flow inside and around the test channel are the gap (g) between the obstruction geometry and the test channel, the Reynolds number (Re) and the length (L) of the test channel. The influence of these parameters on the flow behavior was investigated using a flat plate obstruction at the entry of the channel. A low concentration polyacrylamide solution (0.018% by weight) showing a powerlaw fluid behavior was used as the fluid in this investigation. The flow phenomena were investigated by the velocity measurement and the flow visualization and their results were compared with numerical simulation. These results of low concentration polyacrylamide solution are also compared with the results of water published elsewhere (Kabir et al., 2003). The maximum reverse flow inside the test channel observed was 20% - 30% of the outside test channel velocity at a g/w (gap to width) ratio of 1 for Reynolds numbers of 1000 to 3500. The influence of the test channel length (L) and the Reynolds number (Re) on the velocity ratio ($V_i$/$V_o$: inside velocity/outside velocity in the test channel) are also presented and discussed here.