• Title/Summary/Keyword: Inverse Heat Convection Method

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Solving a Nonlinear Inverse Convection Problem Using the Sequential Gradient Method

  • Lee, Woo-Il;Lee, Joon-Sik
    • Journal of Mechanical Science and Technology
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    • v.16 no.5
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    • pp.710-719
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    • 2002
  • This study investigates a nonlinear inverse convection problem for a laminar-forced convective flow between two parallel plates. The upper plate is exposed to unknown heat flux while the lower plate is insulated. The unknown heat flux is determined using temperature measured on the lower plate. The thermophysical properties of the fluid are temperature dependent, which renders the problem nonlinear. The sequential gradient method is applied to this nonlinear inverse problem in order to solve the problem efficiently. The function specification method is incorporated to stabilize the sequential estimation. The corresponding adjoint formalism is provided. Accuracy and stability have been examined for the proposed method with test cases. The tendency of deterministic error is investigated for several parameters. Stable solutions are achieved eve]1 with severely impaired measurement data.

Research on the Inverse Heat Conduction Problem for Thermal Analysis of a Large LPG Engine Piston (대형 LPG 엔진 피스톤의 온도 분포 해석을 위한 열전도 역문제에 관한 연구)

  • 이부윤;박철우;최경호
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.11
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    • pp.146-159
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    • 2002
  • An efficient method to predict the convection heat transfer coefficients on the top surface of the engine piston is proposed. The method is based on the inverse method of the thermal conduction problem and uses a numerical optimization technique. In the method, the heat transfer coefficients are numerically obtained so that the difference between analyzed temperatures from the finite element method and measured temperatures is minimized. The method can be effectively used to analyze the temperature distribution of engine pistons in case when application of prescribed-temperature boundary condition is not reasonable because of insufficient number of measured temperatures. A hollow sphere problem with an analytic solution is taken as a simple example and accuracy and efficiency is demonstrated. The method is applied to a practical large liquid petroleum gas(LPG) engine piston and the heat transfer coefficients on the top surface of the piston is successfully calculated. Resulting analyzed temperature favorably coincides with measured temperature.

Heat transfer coefficients for F.E analysis in warm forging processes (온간 단조 공정에서의 열전달 계수)

  • Kang J. H.;Ko B. H.;Jae J. S.;Kang S. S.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2005.05a
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    • pp.138-143
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    • 2005
  • Finite Element analysis is widely applied to elevated temperature forging processes and shows a lot of information of plastic deformation such as strain, stress, defects, damages and temperature distributions. In highly elevated temperature deformation processes, temperature of material and tool have significant influence on tool life, deformation conditions and productivities. To predict temperature related properties accurately, adequate coefficients of not only contact heat transfer between material and dies but also convection heat transfer due to coolants are required. In most F.E analysis, too higher value of contact heat transfer coefficient is usually applied to get acceptable temperature distribution of tool. For contact heat transfer coefficients between die and workpiece, accurate values were evaluated with different pressure and lubricants conditions. But convection heat transfer coefficients have not been investigated for forging lubricants. In this research, convection heat transfer coefficients for cooling by emulsion lubricants are suggested by experiment and Inverse method. To verify acquired convection and contact heat transfer coefficients, tool temperature was measured for the comparison between measured tool temperature and analysis results. To increase analysis accuracy, repeated analysis scheme was applied till temperature of the tool got to be in the steady-state conditions. Verification of heat transfer coefficients both contact and convection heat transfer coefficients was proven with good accordance between measurement and analysis.

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Analysis of Thermal Loading of a Large LPG Engine Piston Using the Inverse Heat Conduction Method (열전도의 역문제 방법을 이용한 대형 LPG 엔진 피스톤의 열부하 해석)

  • Park Chul-Woo;Lee Boo-Youn
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.820-827
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    • 2006
  • The convection heat transfer coefficients on the top surface of a large liquid petroleum liquid injection(LPLi) engine piston are analyzed by solving an inverse thermal conduction problem. The heat transfer coefficients are numerically found so that the difference between analyzed temperatures from the finite element method and measured temperatures is minimized. Using the resulting heat transfer coefficients as the boundary condition, temperature of a large LPLi engine piston is analyzed.

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Development of Heat Transfer Predicting Model for Cold forging Steel(SCr420) During Quenching Process (냉간 단조용 SCr420 강의 퀜칭 시 열전달 예측모델 개발)

  • 진민호;장지웅;강성수
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2003.10a
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    • pp.68-71
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    • 2003
  • Heat treatment is one of the critical manufacturing processes that determine the quality of a product. This paper presents experimental and analytical results for the quench of a ring gear in stagnant oil. The goal of this study is to develop heat transfer predicting model in an overall analysis of the quenching process. Thermal conductivities which are dependant on temperatures and convection coefficients which are obtained by inverse method are used to develop the accurate heat transfer model. The results of heat transfer model have a good agreement with experimental results.

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Development of Heat Transfer Predicting Model for Cold forging Steel(SCM420) During Quenching Process (냉간 단조용 SCM420 강의 ?칭 시 열전달 예측모델 개발)

  • 진민호;장지웅;김정민;강성수
    • Transactions of Materials Processing
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    • v.13 no.5
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    • pp.441-448
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    • 2004
  • Heat treatment is one of the critical manufacturing processes that determine the quality of a product. This paper presents experimental and analytical results for the quench of a ring gear in stagnant oil. The goal of this study is to develop heat transfer predicting model in an overall analysis of the quenching process, Thermal conductivities which are dependant on temperatures and convection coefficients which are obtained by inverse method are used to develop the accurate heat transfer model. The results of heat transfer model have a good agreement with experimental results.

Heat Generation Model of Angular Contact Ball Bearing with Oil-Air Lubrication

  • Na, Hee-Hyeong;Rhim, Yoon-Chul
    • KSTLE International Journal
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    • v.1 no.1
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    • pp.63-68
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    • 2000
  • Angular contact ball bearings are mainly used in the spindle, which requires high speed and stiffness. The heat generation is studied by experiments and simulations using a pair of angular contact ball bearings. The temperature variation of inner and outer races and the temperature increment distribution are measured by using thermocouples for the rotational speed, preload, viscosity of lubricant. The measured values from experiments are used to estimate the heat conduction rate. The method of oil-air lubrication is used for the experiment. The amount of conduction heat transfer to the test spindle and the convection heat transfer coefficients long the spindle are computed by using inverse method with temperature increment distribution. Total heat generation rate is estimated with the heat partition rate which is calculated from temperatures of inner and outer races. In addition, the empirical factor of oil-air lubrication method for Palmgren's heat generation model is suggested. The empirical friction coefficients, which are obtained from the experiments, depend on the preload condition, and can give us more accurate estimation of the heat generation in ball bearings.

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The Prediction of Interfacial Heat Transfer Coefficient According to Contact Time and Pressure in Forging and Casting Die Materials for the Hot Press Forming (핫프레스포밍용 주조, 단조 금형에 대한 시간과 압력에 따른 대류열전달계수의 예측)

  • Kim, N.H.;Kang, C.G.
    • Transactions of Materials Processing
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    • v.19 no.6
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    • pp.378-386
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    • 2010
  • Nowadays there has been great interest in using heat treated cast material for press dies due to several advantages like reduction in die production costs. However, in hot press forming processes H13 forged tool steel is mostly used. Cooling performance of dies in hot press forming processes is considered as an important factor of study and also the IHTC parameter between cast material die and sheet metal should be considered as an essential. In the present study, the IHTC was calculated for the sheet metal in the hot press forming process with cast and forged material dies. The temperature measurements were performed for the sheet metal, casting and forged material dies by applying various contact pressure in hot press forming. IHTC was calculated and studied by adopting the inverse heat convection method in DEFORM-2D. Each IHTC was considered as a function of contact time and contact pressure. The experimental data were compared with calculated data obtained from the proposed equation and references.

Analysis of Heat Transfer in Cooling of a Hot Plate by Planar Impingement Jet (평면충돌제트에 의한 고온 판 냉각과정의 열전달 해석)

  • Ahn, Dae-Hwan;Kim, Dong-Sik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.1
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    • pp.17-27
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    • 2009
  • Water jet impingement cooling is used to remove heat from high-temperature surfaces such as hot steel plates in the steel manufacturing process (thermo-mechanical cooling process; TMCP). In those processes, uniform cooling is the most critical factor to ensure high strength steel and good quality. In this study, experiments are performed to measure the heat transfer coefficient together with the inverse heat conduction problem (IHCP) analysis for a plate cooled by planar water jet. In the inverse heat transfer analysis, spatial and temporal variations of heat transfer coefficient, with no information regarding its functional form, are determined by employing the conjugate gradient method with an adjoint problem. To estimate the two dimensional distribution of heat transfer coefficient and heat flux for planar waterjet cooling, eight thermo-couple are installed inside the plate. The results show that heat transfer coefficient is approximately uniform in the span-wise direction in the early stage of cooling. In the later stage where the forced-convection effect is important, the heat transfer coefficient becomes larger in the edge region. The surface temperature vs. heat flux characteristics are also investigated for the entire boiling regimes. In addition, the heat transfer rate for the two different plate geometries are compared at the same Reynolds number.

Temperature Distribution and Thermal Stress Analyses of a Large LPLi Engine Piston (LPG 액정분사 방식의 대형 엔진용 피스톤의 온도분포와 열응력 해석)

  • 임문혁;손재율;이부윤
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.3
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    • pp.538-550
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    • 2004
  • The convection heat transfer coefficients on the top surface of a large liquid petroleum liquid injection(LPLi) engine piston with the oil gallery are analyzed by solving an inverse thermal conduction problem. The heat transfer coefficients are numerically found so that the difference between analyzed temperatures from the finite element method and measured temperatures is minimized. Using the resulting heat transfer coefficients as the boundary condition, temperature of a large LPLi engine piston is analyzed. With varying cooling water temperature, temperature, stress, and thermal expansion of the piston are analyzed and evaluated.