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Application of the Finite-Element Method to Heat-Transfer Problems. Part II. Transient Two-Dimensional Heat Transfer with Convection and Radiation Boundary Conditions

机译：有限元法在传热问题中的应用。第二部分。对流和辐射边界条件下的瞬态二维传热

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The transient two-dimensional heat-conduction analysis was prepared by a variational principle and finite-element synthesis. This provided for the use of arbitrary geometry, combination of orthotropic materials, and general boundary-conditions. The finite-element difference expression and the ordinary finite-difference formulas for the Laplacian term were derived. A particular finite-difference formula for the Laplacian term was chosen to bring the difference expressions of finite element, finite difference, and method of weighted residuals (Galerkin) into the same format. The stability criteria were established for all three techniques by use of the general stability, von Neumann, and Dusinberre concepts. The oscillation characteristics were derived for all three techniques. Various iteration techniques were investigated to represent nonlinear boundary-conditions (radiation). (Author)

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Yalamanchili, R. V. S.; Chu, S. C.;
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年度 1971
页码 p.1-75
总页数 75
原文格式 PDF
正文语种 eng
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关键词
Conduction(Heat transfer) ; Gun barrels ; Difference equations ; Boundary value problems ; Partial differential equations ; Thermal radiation ; Nonlinear differential equations ; Convection(Heat transfer) ; Calculus of variations ; Computer programs;

机译：传导（传热）;枪管;差分方程;边值问题;偏微分方程;热辐射;非线性微分方程;对流（传热）;变分微积分;计算机程序;

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2. Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. II: convection-diffusion-type problems [J] . Guangfu Sun, Martin Stynes IMA Journal of Numerical Analysis . 1995,第2期

机译：奇摄动高阶椭圆两点边值问题的有限元方法。 II：对流扩散型问题
3. Transient MHD boundary-layer slip-flow of heat and mass transfer over a stretching surface embedded in porous medium with waste discharge concentration and convective boundary conditions [J] . Adetunji Adeniyan, Joshua Aanuoluwapo Adigun Applied and Computational Mathematics . 2014,第5期

机译：具有废物排放浓度和对流边界条件的多孔介质中嵌入的拉伸表面上传热和传质的瞬态MHD边界层滑流
4. Measurements of the convection heat transfer coefficient for a two-dimensional wall jet: uniform temperature and uniform heat flux boundary conditions [C] . R. S. AbdulNour, K. Willenborg, J. J. McGrath, ASME Internationnal Mechanical Engineering Congress and Exposition . 1997

机译：二维壁射流对流传热系数的测量：均匀的温度和均匀的热通量边界条件
5. Local convection heat transfer coefficient for a two-dimensional wall jet with uniform heat flux boundary condition using infrared imaging. [D] . AbdulNour, Ramez S. 1999

机译：二维壁面射流在均匀热通量边界条件下的局部对流传热系数的红外成像。
6. Unsteady MHD Mixed Convection Slip Flow of Casson Fluid over Nonlinearly Stretching Sheet Embedded in a Porous Medium with Chemical Reaction Thermal Radiation Heat Generation/Absorption and Convective Boundary Conditions [O] . Imran Ullah, Krishnendu Bhattacharyya, Sharidan Shafie, -1

机译：卡森流体在具有化学反应热辐射生热/吸收和对流边界条件的多孔介质中的非线性拉伸板上非定常MHD混合对流滑移
7. Discussion: “Application of Variational Methods to Radiation Heat-Transfer Calculations” (Sparrow, E. M., 1960, ASME J. Heat Transfer, 82, pp. 375–380) [O] . R. Viskanta 1960

机译：讨论：“改变方法在辐射传热计算中的应用”（Sparrow，E. M.，1960，Asme J.传热，82，PP。375-380）
8. Application of the Finite-Element Method to Heat-Transfer Problems. Part I. Finite-Element Method Applied to Heat-Conduction Solids with Nonlinear Boundary Conditions [R] . Chu, S. C., Yalamanchili, R. V. S. 1971

机译：有限元法在传热问题中的应用。第一部分有限元法在非线性边界条件下的导热固体中的应用

Application of the Finite-Element Method to Heat-Transfer Problems. Part II. Transient Two-Dimensional Heat Transfer with Convection and Radiation Boundary Conditions

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