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Boundary Integral Expression of Forced Convection Heat Transfer under Arbitrary Surface Temperature Distributions and Its Application to Heat Transfer Optimal Design

Research Project

Project/Area Number 09650240
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Thermal engineering
Research InstitutionOsaka University

Principal Investigator

MOMOSE Kazunari  Graduate School of Engineering Science, Osaka University Associate Professor, 大学院・基礎工学研究科, 助教授 (00211607)

Co-Investigator(Kenkyū-buntansha) KIMOTO Hideo  Graduate School of Engineering Science, Osaka University Professor, 大学院・基礎工学研究科, 教授 (70029495)
Project Period (FY) 1997 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1999: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1998: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1997: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsConvection Heat Transfer / Boundary Conditions / Boundary Integral Expression / Adjoint Problem / Perturbation Method / Numerical Analysis / Optimal Design / 強制対流熱伝達 / 自然対流熱伝達 / 複合対流熱伝達 / 随伴作用素 / 熱伝達 / 強制対流 / 自然対流 / 熱的境界条件 / 積分表現
Research Abstract

Convection heat transfer characteristics depend not only on geometric and flow boundary configurations, but on also thermal boundary conditions. Thus, in order to evaluate the heat transfer rate under arbitrary thermal boundary conditions, we need to develop a general heat transfer expression instead of ordinary heat transfer coefficient defined in Newton's cooling law.
From this reason, we have proposed a boundary integral expression of forced convection heat transfer, in which the heat transfer rate is expressed as a function of thermal boundary conditions. Moreover, we have extended this expression for natural and mixed convection heat transfer problems by using the perturbation method.
The results obtained can be summarized as follows :
(1) Local heat transfer rate in forced convection heat transfer problem can be expressed by a Fredholm-type boundary integral as a function of surface temperature distributions. This boundary integral expression, whose kernel can be obtained by a numerical simulation technique, also clarifies a detailed mechanism of forced convection heat transfer.
(2) A numerical solution of adjoint problem for forced convection heat transfer enables us to calculate the mean heat transfer rate under arbitrary steady and unsteady thermal boundary conditions.
(3) Introducing the perturbation principle and using the numerical solutions of base and perturbed adjoint problems, a kind of sensitivity function can be constructed for natural and mixed convection heat transfer. The sensitivity function gives the change of mean heat transfer rate for arbitrary thermal and flow boundary perturbations.

Report

(4 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • 1997 Annual Research Report
  • Research Products

    (29 results)

All Other

All Publications (29 results)

  • [Publications] Kazunari Momose: "Fredholm-Type Boundary Integral Expression of Forced Convection Heat Transfer and Its Application to Convection Conduction Conjugated Heat Transfer Problem"JSME International Journal, Series B. 40・3. 447-453 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose: "Thermal Boundary Condition Effects of Forced Convection Heat Transfer from Heated Surfaces with Arbitrary Temperature Distributions"Proceedings of the 10th International Symposium on Transport Phenomena in Thermal Science and Process Engineering. 1. 209-214 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose: "Thermal Boundary Condition Effects of Forced Convection Heat Transfer (Application of Numerical Solution of Adjoint Problem)"JSME International Journal, Series B. 42・2. 293-299 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose: "Influence of Thermal Boundary Conditions on Natural Convection Heat Transfer"Heat Transfer - Asian Research. 28・6. 500-512 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose: "Numerical Prediction of Convection Heat Transfer under Arbitrary Thermal Boundary Conditions"Proceedings of the 5th ASMEIJSME Joint Thermal Engineering Conference. CD-ROM. AJTE99-6381 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 桃瀬一成: "対流熱伝達特性に対する熱および流れの境界摂動の影響(随伴作用素表現に基づく数値解析)"日本機械学会論文集(B編). (印刷中). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose, Kiyoshi Sasoh and Hideo Kimoto: "Fredholm-Type Boundary Integral Expression of Forced Convection Heat Transfer and Its Application to Convection-Conduction Conjugated Heat Transfer Problem"JSME International Journal, Series B. Vol. 40-3. 447-453 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose and Hideo Kimoto: "Boundary Integral Expression of Forced Convection Heat Transfer from Heated Surfaces with Arbitrary Temperature Distributions"Proc. of the 10th International Symposium on Transport Phenomena in Thermal Science and Process Engineering. Vol. 1. 209-214 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose, Kiyoshi Sasoh and Hideo Kimoto: "Thermal Boundary Condition Effects on Forced Convection Heat Transfer (Application of Numerical Solution of Adjoint Problem)"JSME International Journal, Series B. Vol. 42-2. 293-299 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose and Hideo Kimoto: "Influence of Thermal Boundary Conditions on Natural Convection Heat Transfer"Heat Transfer-Asian Research. Vol. 28-6. 500-512 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose and Hideo Kimoto: "Numerical Prediction of Convection Heat Transfer under Arbitrary Thermal Boundary Conditions"Proc. of the 5th ASME/JSME Joint Thermal Engineering Conference.. CD-ROM. AJTE99-6381 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose, Makoto Ueda and Hideo Kimoto: "Influence of Thermal and Flow Boundary Perturbations on Convection Heat Transfer Characteristics(Numerical Analysis based on Adjoint Formulation)"Transactions of JSME, series B. (in press). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] Kazunari Momose: "Fredhalm-Type Boundary Integral Expression of Forced Convection Heat Transfer and Its Application to Convection-Conduction Conjugated Heat Transfer Problem"ISME International Journal, Series B. 40・3. 447-453 (1997)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kazunari Momose: "Boundary Integral Expression of Forced Convection Heat Transfer from Heated Surfaces with Arbitrary Temperatare Distributions"Proceedings of the 10th International Symposium on Transport phenamene in Thermal Science and Precess Engineering. 1. 209-214 (1997)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kazunari Momose: "Forced Convection Heat Transfer from a Heated Circular Cylinder with Arbitrary Surface Temperature Distributions"Heat Transfer-Asian Research. 28・6. 484-499 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kazunari Momose: "Thermal Boundary Condition Effects on Forced Convection Heat Transfer (Application of Numerical Solution of Adjoint Problem)"JSME International Journal, SeriesB. 42・2. 293-299 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kazunari Momose: "Influence of Thermal Boundary Conditions on Natural Convection Heat Transfer"Heat Transfer-Asian Research. 28・6. 500-512 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kazunari Momose: "Numerical Prediction of Convection Heat Transfer under Arbitrary Thermal Boundary Conditions"Proceedings of the 5th ASME/JSME Joint Thermal Engineering Conference (CD-ROM). 1. AJTE99-6381 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Kazunari Momose: "Fredholm-Type Boundary Integral Expression of Forced Convection Heat Transfer and Its Application to Convection-Conduction Conjugated Heat Transfer Problem" JSME International Journal, Seties B. 40・3. 447-453 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] 桃瀬 一成: "任意表面温度分布を有する加熱円柱の強制対流熱伝達特性" 日本機械学会論文集(B編). 63・613. 3092-3099 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] 桃瀬 一成: "強制対流熱伝達問題における熱的境界条件の影響(随伴問題の数値解を用いた考察)" 日本機械学会論文集(B編). 63・615. 3655-3660 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Kazunari Momose: "Boundary Integral Expression of Forced Convection Heat Transfer from Heated Surfaces with arbitrary Temperature Distributions" Proceedings of the 10th International Symposium on Transport Phenomena in Thermal Scisnes and Process Enjineering. 1. 209-214 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] 桃瀬 一成: "自然対流熱伝達問題に対する熱的境界条件の影響(摂動随伴作用系表現に基づく数値解析)" 日本機械学会論文集(B編). 63・614. 3347-3352 (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Kazunari Momose: "Numerical Prediction of Convection Heat Transfer under Arbitrary Thermal Boundary Conditions" Proceedings of the 5th ASME/JSME Thermal Engineering Joint Conference. (1997)

    • Related Report
      1998 Annual Research Report
  • [Publications] Kazunari Momose: "Fredholm-Type Boundary Integral Expression of Forced Convection Heat Transfer and Its Application to Corvection-Conduction Conjugated Heat Transfer Problem" JSME International Journal,Series B. 40・3. 447-453 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 桃瀬一成: "任意表面温度分布を有する加熱円柱の強制対流熱伝達特性" 日本機械学会論文集(B編). 63・613. 3092-3099 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 桃瀬一成: "強制対流熱伝達問題における熱的境界条件の影響(随伴問題の数値解を用いた考察)" 日本機械学会論文集(B編). 63・615. 3655-3660 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Kazunari Momose: "Boundary Integral Expression of Forced Convection Heat Trunsfer from Heated Surfaces with Arbitrary Temperature Distributions" Proceeding of the 10th International Symposium on Transport Phenomena in Thermal Science and Process Engineering. 1. 209-214 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] 桃瀬一成: "自然対流熱伝達問題に対する熱的境界条件の影響(摂動随伴作用素表現に基づく数値解析)" 日本機械学会論文集(B編). 63・614. 3347-3352 (1997)

    • Related Report
      1997 Annual Research Report

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Published: 1997-04-01   Modified: 2016-04-21  

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