• 제목/요약/키워드: Blasius equation

검색결과 12건 처리시간 0.018초

A Method of Moments Approach for Laminar Boundary Layer Flows

  • Kinaci, Omer Kemal;Usta, Onur
    • International Journal of Ocean System Engineering
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    • 제3권3호
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    • pp.111-115
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    • 2013
  • Blasius equation describes the boundary layer formed over a flat plate inside a fluid and this equation is solved numerically by the method of moments which is a type of weighted residual methods. Compared to the traditionally used Runge - Kutta Method, Method of Moments propose a direct solution to Blasius Equation which makes it easier to solve. The obtained solutions show good agreement with the results found in literature and this study aims to demonstrate the power of the method.

Boundary layer analysis of persistent moving horizontal needle in Blasius and Sakiadis magnetohydrodynamic radiative nanofluid flows

  • Krishna, Penem Mohan;Sharma, Ram Prakash;Sandeep, Naramgari
    • Nuclear Engineering and Technology
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    • 제49권8호
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    • pp.1654-1659
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    • 2017
  • The boundary layer of a two-dimensional forced convective flow along a persistent moving horizontal needle in an electrically conducting magnetohydrodynamic dissipative nanofluid was numerically investigated. The energy equation was constructed with Joule heating, viscous dissipation, uneven heat source/sink, and thermal radiation effects. We analyzed the boundary layer behavior of a continuously moving needle in Blasius (moving fluid) and Sakiadis (quiescent fluid) flows. We considered Cu nanoparticles embedded in methanol. The reduced system of governing Partial differential equations (PDEs) was solved by employing the Runge-Kutta-based shooting process. Computational outcomes of the rate of heat transfer and friction factors were tabulated and discussed. Velocity and temperature descriptions were examined with the assistance of graphical illustrations. Increasing the needle size did not have a significant influence on the Blasius flow. The heat transfer rate in the Sakiadis flow was high compared with that in the Blasius flow.

MODIFIED DECOMPOSITION METHOD FOR SOLVING INITIAL AND BOUNDARY VALUE PROBLEMS USING PADE APPROXIMANTS

  • Noor, Muhammad Aslam;Noor, Khalida Inayat;Mohyud-Din, Syed Tauseef;Shaikh, Noor Ahmed
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1265-1277
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    • 2009
  • In this paper, we apply a new decomposition method for solving initial and boundary value problems, which is due to Noor and Noor [18]. The analytical results are calculated in terms of convergent series with easily computable components. The diagonal Pade approximants are applied to make the work more concise and for the better understanding of the solution behavior. The proposed technique is tested on boundary layer problem; Thomas-Fermi, Blasius and sixth-order singularly perturbed Boussinesq equations. Numerical results reveal the complete reliability of the suggested scheme. This new decomposition method can be viewed as an alternative of Adomian decomposition method and homotopy perturbation methods.

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비선형 PSE를 이용한 압축성 경계층의 안정성 해석 (STABILITY ANALYSIS OF COMPRESSIBLE BOUNDARY LAYER IN CURVILINEAR COORDINATE SYSTEM USING NONLINEAR PSE)

  • ;박승오
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2007년도 추계 학술대회논문집
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    • pp.134-140
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    • 2007
  • Nonlinear parabolized stability equations for compressible flow in general curvilinear coordinate system are derived to deal with a broad range of transition prediction problems on complex geometry. A highly accurate finite difference PSE code has been developed using an implicit marching procedure. Blasius flow is tested. The results of the present computation show good agreement with DNS data. Nonlinear interaction can make the T-S fundamental wave more unstable and the onset of its amplitude decay is shifted downstream relative to linear case. For nonlinear calculations, rather small difference in initial amplitude can produce large change during nonlinear region. Compressible secondary instability at Mach number 1.6 is also simulated and showed that 1.1% initial amplitude for primary mode is enough to trigger the secondary growth.

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핀 봉다발의 압력강하 특성 연구 (An Investigation of Pressure Drop Characteristics of Finned Rod Bundles)

  • Chung, Moo-Ki;Chung, Chang-Hwan;Chung, Heung-June;Song, Chul-Hwa;Yang, Sun-Kyu
    • Nuclear Engineering and Technology
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    • 제23권3호
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    • pp.328-339
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    • 1991
  • 30 MW 열출력을 갖는 다목적 연구용 원자로(KMRR)가 원자력연구소에선 개발되고 있다. 열수력 연구의 일환으로 길이 방향으로 핀이 달린 연료봉다발의 압력강하특성을 실험으로 연구하였다. 본 논문에서는 넓은 유량범위에서 적용할 수 있는 핀 연료봉다발에서의 압력강하 상관식의 도출과 압력강하에 미치는 핀 영향의 조사에 중점을 두었다. 도출된 KMRR 핵연료봉다발의 마찰계수 상관식을 원형관의 실험결과와 비교하였을 때 저유량 실험영역에서는 충류시의 해석값인 64/Re 보다 큰 값을 가졌으나 Re가 증가되면 Blasius 상관식보다 낮아지는 경향을 나타내었다.

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이산화탄소의 초임계 가스냉각 과정의 열전달 및 압력강하 특성에 관한 실험적 연구 (Experimental Studies on Heat Transfer and Pressure Drop Characteristics during Gas Cooling Process of Carbon Dioxide in the Supercritical Region)

  • 윤석호;김주혁;김민수
    • 설비공학논문집
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    • 제16권6호
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    • pp.538-545
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    • 2004
  • This paper presents the experimental data for the heat transfer and pressure drop characteristics obtained during the gas cooling process of carbon dioxide in a horizontal tube. The tube in which carbon dioxide flows is made of copper with an inner diameter of 7.73 mm. Experiments were conducted for various mass fluxes and inlet pressures of carbon dioxide. Mass fluxes are controlled at 225, 337 and 450 kg/$m^2$s and inlet pressures are adjust-ed from 7.5 to 8.8 ㎫. The experimental results in this study are compared with the existing correlations for the supercritical heat transfer coefficient, which generally under-predict the measured data. Pressure drop data agree very well with those calculated by the Blasius' equation. Based on the experimental data, a new empirical correlation to estimate the near-critical heat transfer coefficients has been developed.

세관내 HCFC계 대체냉매의 압력강하에 관한 연구 (The Pressure Drop Characteristics in Small Diameter Tubes Using HCFC Alternative Refrigerants)

  • 손창효;이호림;정진호;최영석;오후규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집B
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    • pp.347-352
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    • 2000
  • The pressure drop characteristics of R-22 and R-410A(a mixture of 50wt% R-32 and 50wt% R-125) flowing in a small diameter tube with 1.77[mm] inner diameter and 3.14[mm] outer diameter was investigated experimentally. the mass fluxes of refrigerants are ranged from 450 to $1050[kg/(m^2{\cdot}s)]$ and the qualites are varied from 0.05 to 0.95. The main experimental results were summarized as follows; The single-phase liquid friction factors for small diameter tubes are higher than those predicted by the Blasius equation. In case of two-phase flow, the pressure gradient of the small diameter tube increases with increasing mass velocity and vapor quality. The experimental data are not well correlated by predictions which were proposed for the large diameter tube.

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풍속에 따른 포설 아스팔트 혼합물의 온도변화에 대한 열전달 해석 (Heat Transfer Analysis for Asphalt Mixture Temperature Variation due to Wind Speed)

  • 윤태영;유평준
    • 한국도로학회논문집
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    • 제17권4호
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    • pp.33-40
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    • 2015
  • PURPOSES: Evaluation of the wind speed effect on the temperature drop of an asphalt mixture during construction, by using the transient heat transfer theory and dominant convective heat transfer coefficient model. METHODS: Finite difference method (FDM) is used to solve the transient heat transfer difference equation numerically for various wind speeds and initial temperature conditions. The Blasius convective heat transfer coefficient model is adapted to account for the effect of wind speed in the temperature predictions of the asphalt mixture, and the Beaufort number is used to select a reasonable wind speed for the analysis. As a function of time and depth, the temperature of the pavement structure is predicted and analyzed for the given initial conditions. RESULTS : The effect of wind speed on the temperature drop of asphalt mixture is found to be significant. It seems that wind speed is another parameter to be accounted for in the construction specifications for obtaining a better quality of the asphalt mixture. CONCLUSIONS: It is concluded that wind speed has a significant effect on the temperature drop of the asphalt layer. Although additional field observations have to be made to reflect the effect of wind speed on the construction specifications, it appears that wind speed is a dominant variable to be considered, in addition to the atmospheric temperature.

Influence of an Aspect Ratio of Rectangular Channel on the Cooling Performance of a Multichip Module

  • Choi, Min-Goo;Cho, Keum-Nam
    • Journal of Mechanical Science and Technology
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    • 제14권3호
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    • pp.350-357
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    • 2000
  • Experiments were performed by using PF-5060 and water to investigate the influence of an aspect ratio of a horizontal rectangular channel on the cooling characteristics from an in-line $6{\times}1$ array of discrete heat sources which were flush mounted on the top wall of the channel. The experimental parameters were aspect ratio of rectangular channel, heat flux of simulated VLSI chip, and channel Reynolds number. The chip surface temperatures decreased with the aspect ratio at the first and sixth rows, and decreased more rapidly at a high heat flux than at a low heat flux. The measured friction factors at each aspect ratio for both water and PF-5060 gave a good agreement with the values predicted by the modified Blasius equation within ${\pm}7%$. The Nusselt number increased as the aspect ratio decreased, but the increasing rate of Nusselt number reduced as the aspect ratio decreased. A 5:1 rectangular channel yields the most efficient cooling performance when the heat transfer and pressure drop in the test section were considered simultaneously.

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CO2 가스쿨러용 콤팩트열교환기 개발에 관한 연구(2) - 열유량과 압력강하에 관한 실험 및 예측 - (Experimental Study on Compact type CO2 Gas Cooler(2) - Experiments and Predictions on Heat Flowrate and Pressure Drop -)

  • 오후규;손창효
    • Journal of Advanced Marine Engineering and Technology
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    • 제34권2호
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    • pp.259-266
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    • 2010
  • 다중관식 헬리컬 코일형 가스냉각기내 $CO_2$의 열유량과 압력강하는 LMTD 방식을 이용하여 예측하였고 그 결과를 실험값과 비교하였다. $CO_2$와 냉각수의 유량은 각각 0.06~0.075 kg/s이고, 가스냉각기의 냉각압력은 8~10 MPa이다. 초임계 $CO_2$의 냉각시의 열유량과 압력강하는 LMTD 방식을 이용하여 예측하였고, 이때 냉매측 열전달과 압력강하식은 각각 Gnielinski와 Dittus-Boelter 식을 사용하였다. LMTD법으로 예측한 값과 실험값을 비교한 결과, $CO_2$의 열유량과 압력강하는 상대적으로 좋은 일치를 보였다.