熱傳導方程式 的英文怎麼說

中文拼音 [rèzhuàndǎofāngchéngshì]
熱傳導方程式 英文
heat equation
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  1. Then the finite element equations are derived with the effective heat capacity method. common time - stepping method and precise time integration ( pti ) method are used to solve the equation

    然後基於等效熱容法推導了伴有相變過程的傳熱控制方程的有限元列式，並且分別研究了用常規的時間差分法和精細積分法求解上述有限元方程。
  2. In the paper, with system energy balance method and heat conductive equations ， on tne basis of short time heat transfer modeling established the long time modeling, considering heat interference in thermal well group. this paper used the finit element method for element division and computer analysis, and provided the operation temperature figure. acquired computation values agreed well with experimental results, the most difference between them was 5. 13 %

    本文採用系統能量平衡結合熱傳導方程，在淺埋套管式換熱器短期傳熱模型基礎上建立了長期傳熱模型，並考慮了管群熱干擾對模型的影響。並運用有限單元法軟體編程進行離散和計算機分析，得出模擬溫度場，其模擬值與實測的均值基本相符，兩者最大誤差小於5 . 13 % ，表明該模型具有一定的合理性和實用意義。
  3. Compared with the traditional edge milling machines, this machine series is dismountable in their tracks, more rational in structure by heat - treatment of the bench, more reliable and stable in the milling & turning head ' s running. the feed and feed - back systems are fully independent respectively. the feed - back is quick and is highly efficient. the angle of the milling tool ' s tray is convenient in adjustment, and the custom - built tool rest and the normal tool rest can be inter - converted. they are the updated products of the traditional edge milling machine

    該系列銑邊機與傳統銑邊機相比，其導軌安裝形式為可拆裝式，並通過熱處理，床身結構更合理，銑削頭運行更平穩可靠，其進給系統與返程系統完全獨立，返程速度快、效率高、銑刀盤的角度調整方便，定製刀盤與標準刀盤可互換，是傳統銑邊機的更新換代產品。
  4. By using the eigenfunction expansion technique, a one - dimension finite element formulation is then developed to determine the eigensolutions to the 2d heat conduction problem at the crack tip, which discretizes the sectorial domain circumferenially

    利用特徵方程展開方法，可獲得分析裂紋尖端處二維熱傳導特徵解的一維有限元列式。
  5. ( 3 ) temperature field and residual capacity of reinforced concrete member after fire studied by the numbers, various boundary conditions of heat exchange equation and the solutions of them given an account, the formulae of the residual capacity of the members after fire established, the program of temperature field programmed on the basic of finite difference algorithm, a case given to demonstrate

    （ 3 ）對火災后構件溫度場的分佈和剩餘承載力的計算進行了系統地分析和研究。討論了熱傳導方程的各種邊界條件及相應的解法，建立了不同構件的剩餘承載力計算公式，並結合工程實例用有限差分法編制了相應的溫度場計算程序，與實例吻合良好。
  6. Semi - explicit difference scheme for heat conduction equation

    熱傳導方程的半顯式格式
  7. The sensitivity equations are deduced based on the discrete model by direct method and adjoint method respectively

    推導了相變傳熱溫度場靈敏度方程及其直接法和伴隨法兩種列式。
  8. This text completely and systematically studies the status and the development of the pyrolysis and the fluidization of biomass, which distill the bio - oil in the domestic and international area, as well as the existing problems. this thesis primarily include following aspects : ( l ), by experimenting and measuring the energy ( heat value ) and the content of c, h, n chemical element of right 20 kinds of common biomass, on the base of the experimental result, and respectively established the biomass energy predict experiment formula with the element of h and c is from change, and passed the ro. os examination, which provides the basis and convenience for flash pyrolysis fluidization device energy to convert the rate to compute with biomass energy utilization calculation ; ( 2 ), proceeded the tg and dtg experimentation equal velocity ( 10 ? / min, 20 ? / min, 40 ? / min, 60 ? / min ) heating and constant temperature heating by studying on eight kinds of biomass samples, according to the experimental data and arrhenius formula, we established the dynamics model of pyrolysis of, then, using the goast - redfern and p function, we also solved the dynamics parameters and analyze out every kind of biomass ' s frequency factor and parameters of activation energy, and established the every kind of dynamics model of pyrolysis of biomass, all of these provide the theories and basis to make sure the reactor ' s flash pyrolysis work temperature scope design and the describing of pyrolysis reactor dynamics ; ( 3 ), in order to study and ascertain the process of heat completely getting to pyrolysis time of varied size biomass particles, we observed and measured the ratio of length and diameter ( l / d ) with the varied biomass through electron microscope, we concluded the l / d ratios usually is from 5. 0 to 6. 0, the average is 5. 3 ; ( 4 ), we studied the process of biomass transiting and the theory of complete pyrolysis time with the theory of complicated heat field, we got the time ( t ) of the varied size biomass particles arriving to complete pyrolysis, and we knew that the complete pyrolysis time and the time which get to the biggest production ratio are identical, all of these studies provide the theory base for design and forecasting the flash pyrolysis reactor solid state resort time ; ( 5 ), according to the above experiment result, synthesize to make use of the engineering the mechanics, engineering the material, machine the design to learn the principle, deduce, establish the theory of rotation cone flash pyrolysis reactor material resort time ( t ) and reasonable rotation velocity ( or frequency ) relation theory ; and ( 6 ), we gave the reactor ' s smallest cone angle certain, reactor cone wall strength design theory, the reactor production ability theory, the power design method and the critical rotation velocity theory

    本文較全面、系統地綜述了國內外生物質熱解液化制取生物燃油技術研究發展現狀及存在的問題，主要研究內容有： （ 1 ）實驗、測定了20種常見生物質的能量（發熱量）和c 、 h 、 n元素含量，根據實驗結果分別建立了以h和c為自變量的生物質能量預測經驗公式，並通過r _ （ 0 . 05 ）檢驗；為閃速熱解液化裝置能量轉化率計算和生物質能量利用率計算提供了依據和方便； （ 2 ）選擇了8種生物質試樣作了等加熱速率（ 10 min 、 20 min 、 40 min 、 60 min ）和恆溫加熱的tg和dtg實驗，根據實驗數據和阿倫尼烏斯公式建立了生物質熱解反應動力學微分方程，並採用goast - redfem積分法和p函數對其動力學參數進行了求解，解析出各種生物質的頻率因子和活化能參數，進而建立了各種生物質的熱解動力學模型，為科學確定反應器的閃速熱解工作溫度范圍及熱解反應動力學描述，提供了理論和依據； （ 3 ）為研究和確定不同尺度的生物質顆粒中心達到全熱解的時間，在體視顯微鏡下對不同粒度的生物質顆粒的長徑比進行了實驗觀察和測定，得出生物質的長徑比（ l d ）一般在5 . 0 6 . 0之間，平均為5 . 3的結果； （ 4 ）採用復雜溫度場傳熱學理論對生物質傳熱過程及充分熱解時間理論進行了研究，解析推導出了不同尺寸生物質顆粒中心溫度達到充分熱解溫度的時間（ t ） ，得出了理論推導的充分熱解時間與最大產油率的熱解時間相一致的結果，為閃速熱解反應器固相滯留時間設計和預測提供了理論依據； （ 5 ）根據上述實驗結果，綜合運用工程力學、工程材料、機械設計學原理，推導、建立了轉錐式閃速熱解反應器物料滯留時間（ ）與轉速（或頻率）合理匹配理論； （ 6 ）提出了轉錐式閃速熱解反應器的最小錐角設計、錐壁強度設計、生產能力設計理論和功率計算方法及臨界轉速理論等。
  9. A simple and easy operating criterion is put forward in accordance with the relation between positive - sequence component and negative - sequence component of stator current when the motor is in unbalance and single phase broken. based on analyzing the traditional inverse time - lag overloading protection of motors, an inverse time - lag operating equation with accumulating stator current is achieved, according to the differential equation of the heating and cooling while the current flows into the conductor

    在分析電動機傳統的反時限過負荷保護的基礎上，根據導體中流過電流時的發熱、散熱微分方程得到了累加定子電流的反時限過負荷保護動作方程，經簡化后得到累加定子電流的實用的反時限特性遞推公式。
  10. The influences of thermal effect of an axis on its design precision were discussed and the temperature distribution of a rotating axis was obtained by the conventional heat transfer equations that needed a complex solving procedure and gave a blurry distribution rule

    摘要考慮了熱對提高軸類件設計精度的影響，並通過傳統導熱微分方程法和一般傳熱學理論對主軸在運動時熱分佈進行了分析，指出了傳統熱微分方程解法復雜，從解析式中難以看出溫度分佈規律，運用傳熱學理論解法簡單明? ，結果易於反映各參數關系，精確度較高，實用性強。
  11. Thermal and structure character of straight reheating furnace were analyzed in csp technological process. coupling with heat conduction differential equations of the thin slab and the furnace lining, the mathemat ical model of heat transfer is established in the long one dimension furnace by using zone method for making the model of radiant heat transfer. the effect of the moving velocity and kinds of the slab on temperature distribution in the furnace is discussed based upon the solutions to the mathematical model

    通過分析csp工藝中直通式輥底加熱爐的熱工及結構特性，採用區域法建立爐內輻射換熱數學模型，與加熱爐內連鑄坯及爐襯的一維導熱方程相耦合，建立長一維直通式輥底加熱爐爐內傳熱數學模型.通過對數學模型的求解，研究分析了不同的薄板坯移動速度及鋼種對加熱爐爐內溫度分佈的影響
  12. The article set up 2 - dementional steady heat conduction model and equations based on buried channel waveguide, and solved the equations by separating variables method. using mathcad, 2 - d temperature distribution and the influenced refractive index distribution by thermo - optic effect were plotted in waveguide section area

    本文先以埋入式溝道波導為例，建立了二維穩態熱傳導方程模型，用分離變量法推導了方程解，並用mathcad2000在波導截面上繪出了二維溫度分布圖和受到熱光效應影響的折射率分布圖。
  13. Firstly, a weak formulation of this problem is derived. the existence, uniqueness and regularity of its solution are discussed. next, the mixed legendre - hermite polynomial approximation in non - isotropic sobolev space is proposed

    首先，我們在第二章中討論無窮帶狀區域上熱傳導方程的弱形式及其解的存在性，唯一性和正則性，這種弱形式適合於數值計算。
  14. In order to get a finite element formulation to analyze singular heat flux fields, the weak form of basic equations and boundary conditions describing the 2d heat conduction eigenproblems is derived for the sectorial domains in the vicinity of the interfacial crack tip

    摘要為得到用於分析奇異熱流密度場的高效的有限元列式，針對不同材料中界面裂紋尖端的扇形區域，推導出二維熱傳導特徵解問題的基本方程和邊界條件的弱形式。
  15. A high - order alternating direction implicit method for solving the high dimensional heat equations

    高維熱傳導方程的高精度交替方向隱式方法
  16. Multi - grid - blocks, finite volume method, maccormack difference method was used to solve the unsteady two - dimensional navier - stokes equation, finite difference method was used to solve the two - dimensional heat transfer problem

    數值計算方面，以多塊網格為特徵的s2df程序採用有限體積法， maccormack離散格式求解二維、非定常n - s方程，利用有限差分方法求解二維熱傳導方程。
  17. Finally, we study the ( 2 + l ) - dimension nonlinear dispersive long wave equation skillfully, we find the self - transformation between the two equations and turn the ( 2 + l ) - dimension nonlinear dispersive long wave equation into a simple ( 2 + l ) - dimension pde. then, with the homogeneous balance method we obtain the hopf - cole transformation between the ( 2 + l ) - dimension pde and the heat equation. through it, we obtain abundant exact solutions of the ( 2 + l ) - dimension nonlinear dispersive long wave equation with the matlab, including the multi - solitary wave solutions

    ） : = 0 . （ 2 ）巧妙的發現了（ 1 ）與（ 2 ）之間的自變換，將這個方程組轉化為一個簡單的偏微分方程，並利用齊次平衡法得到了此方程與熱傳導方程之間二維形式的物pf - cofe變換，從而藉助m胡ab的符號運算得到了2 + l維非線性色散長波方程包括多孤子解在內的多種新精確解。
  18. Three temperature equations include disconnected thermal conductivity coefficient and energy exchange terms between electron and ion, electron and photon, which are affected by the density an d temperature of the plasma, and by the atom parameter. implicit scheme have to be used to solve them. we use entirety linear iteration method to do this work

    三溫方程含有間斷的熱傳導系數，存在著電子與光子、電子與離子的能量交換，這些量與離子的密度、溫度和原子物理參數有關，對它們的求解必須採用隱式格式，我們採用整體線性化迭代格式迭代求解。
  19. Group implicit method for the nonlinear heat conduction equation and numerical experiments

    非線性熱傳導方程的分組隱式解法及數值結果
  20. Abstract : thermal and structure character of straight reheating furnace were analyzed in csp technological process. coupling with heat conduction differential equations of the thin slab and the furnace lining, the mathemat ical model of heat transfer is established in the long one dimension furnace by using zone method for making the model of radiant heat transfer. the effect of the moving velocity and kinds of the slab on temperature distribution in the furnace is discussed based upon the solutions to the mathematical model

    文摘:通過分析csp工藝中直通式輥底加熱爐的熱工及結構特性，採用區域法建立爐內輻射換熱數學模型，與加熱爐內連鑄坯及爐襯的一維導熱方程相耦合，建立長一維直通式輥底加熱爐爐內傳熱數學模型.通過對數學模型的求解，研究分析了不同的薄板坯移動速度及鋼種對加熱爐爐內溫度分佈的影響
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