| 2 | 1/1 | 返回列表 |
| 查看: 1290 | 回復: 1 | ||
| 本帖產(chǎn)生 1 個 翻譯EPI ,點擊這里進行查看 | ||
suchuanqi新蟲 (初入文壇)
|
[求助]
求 摘要 引言 結(jié)論翻譯 (我已經(jīng)自己翻譯了一遍,希望高人幫忙修改一下)
|
|
|
摘要:從導熱微分方程出發(fā)推導出了一般情況下平均溫度隨時間的變化規(guī)律,它是對能量守恒定律的反映。由初邊值條件的積分形式給出了第二類邊界條件下平均溫度的表達式,并推出邊界熱流一定時的平均溫度與時間呈線性關(guān)系,絕熱邊界條件下的平均溫度不隨時間變化。 Abstract. The variation of average temperature with time in general case is derived by the differential equation of heat conduction, it is the reflection of the conservation of energy principle. The average temperature was expressed by the integral form of initial and boundary conditions under the second boundary condition. The average temperature has linear relationship with time when the boundary heat flux is constant and it does not change with time under the adiabatic boundary condition. 引言 在工程實際中,往往需要知道生產(chǎn)設(shè)備或所加工材料所處的溫度狀態(tài),以便對生產(chǎn)加工過程進行控制。但是,非穩(wěn)態(tài)導熱問題的解析求解是非常復雜的,尤其是形狀不規(guī)則物體的高維導熱問題。這時在生產(chǎn)要求許可的情況下,我們可以分析物體平均溫度隨時間的變化規(guī)律。顧祥紅針對無限長圓柱體和圓球物體,提出了非穩(wěn)態(tài)導熱的平均溫度集總參數(shù)分析法。由于平均溫度只與時間有關(guān),而與空間坐標無關(guān),這樣我們便可把三維導熱問題轉(zhuǎn)化成只含時間變量的零維導熱問題來處理,這時平均溫度滿足一個常微分方程。平均溫度的變化規(guī)律可由初邊值條件的積分來表達。 Introduction In engineering practice, we usually need to know the temperature state of production equipments and processing materials. But it is usually very difficult by analytic method to solve unsteady heat conduction problems, especially multidimensional heat conduction problems of irregular shape objects . In this case, we could research on the variation of average temperature by the premise of meet the production requirement. Xianghong Gu proposed the average temperature lumped parameter analysis method aiming at infinite plate, infinite cylinder and global objects. The average temperature is only related to time variable, and it is not relevant to space coordinates. So three dimensional heat conduction system can be transformed into a lumped parameter system. The average temperature meets an ordinary differential equation. The variation of average temperature can be expressed by the integral form of initial and boundary conditions. 結(jié)論 (1)推導出了一般情況下平均溫度隨時間的變化規(guī)律,平均溫度的變化規(guī)律與吸熱量相關(guān),這是對能量守恒定律的反映。 (2)由初邊值條件的積分形式給出了第二類邊界條件下平均溫度的表達式,并推出邊界熱流一定時的平均溫度與時間呈線性關(guān)系,絕熱邊界條件下的平均溫度不隨時間變化。 conclusion (1) The variation of average temperature with time in general case is derived, it is related to the absorbed heat. It is the reflection of the conservation of energy principle. (2) The average temperature was expressed by the integral form of initial and boundary conditions under the second boundary condition. The average temperature has linear relationship with time when the boundary heat flux is constant and it does not change with time under the adiabatic boundary condition. 本文從信息熵與導熱系統(tǒng)兩個方面對正態(tài)分布與狄拉克 函數(shù)的性質(zhì)及其相互關(guān)系進行了分析。計算得到狄拉克 函數(shù)所對應的信息熵為負無窮大,并對這一結(jié)果的物理含義做了解釋。與控制理論相類比,定義了導熱系統(tǒng)的傳遞函數(shù),并用系統(tǒng)的觀點分析了正態(tài)分布與 狄拉克函數(shù)在導熱系統(tǒng)中的聯(lián)系。 In this paper, the properties and relationship of the normal distribution and Dirac function are analyzed from two aspects of information entropy and heat conduction system. The information entropy corresponding to Dirac function is negative infinity, and the physical meaning of this result is given. Transfer function of heat conduction system is defined by analogy with control theory, and the relationship of normal distribution and Dirac function in heat conduction system is analyzed from system viewpoint. |
榮譽版主 (知名作家)
笑熬漿糊——滿腦漿糊
個人認為,全文翻譯都比較流暢,僅作了小范圍潤色,請你自己再次對比斟酌。內(nèi)容僅供參考。![]() Abstract. The variation of average temperature with time in general could be derived by the differential equations of heat conduction, it is the reflection of the conservation of energy principle. The expresion of average temperature under the second boundary condition could be obtained by the integral form of initial and boundary conditions.Meanwhile, the average temperature has a linear relationship with the time when the boundary heat flux is constant which means it won't change with time under the adiabatic boundary conditions. Introduction In engineering practice, it is neccessary to know the temperature state of production equipments and processing materials. However, it is usually very difficult to solve problems under unsteady heat conduction by analytical methods, especially for multidimensional heat conduction problems of irregular shape objects. In this case,the dependance of average temperature on the time could be analyzed following the production requirements. It was proposed by Xianghong Gu that the average temperature lumped parameter analysis method could be used for infinite plate, infinite cylinder and global objects. The average temperature is only depandant on time and independant on space coordinates, a three dimensional heat conduction system could thereby be transformed into a lumped parameter system. Then the average temperature meets an ordinary differential equation. The variation of average temperature could be expressed by the integral form of initial and boundary conditions. Conclusions (1) The variation of average temperature with time in general case is derived, it is related to the heat absorbsion . It is the reflection of the principle of energy conservation. (2) The average temperature under the second boundary condition was expressed by the integral form of initial and boundary conditions. The average temperature has linear relationship with time when the boundary heat flux is constant which means it won't change with time under the adiabatic boundary conditions. In this paper, the properties and relationship of the normal distribution and Dirac function were analyzed from two aspects of information entropy and heat conduction system. The information entropy corresponding to Dirac function was negative infinity, and the physical meaning of this result was given. Transfer function of heat conduction system was defined by analogy with control theory, and the relationship of normal distribution and Dirac function in heat conduction system was also analyzed from system viewpoint. |

| 2 | 1/1 | 返回列表 |
| 最具人氣熱帖推薦 [查看全部] | 作者 | 回/看 | 最后發(fā)表 | |
|---|---|---|---|---|
|
[考研] 調(diào)劑 +4 | 13853210211 2026-03-24 | 4/200 |
|
|---|---|---|---|---|
|
[考研] 276求調(diào)劑。有半年電池和半年高分子實習經(jīng)歷 +9 | 材料學257求調(diào)劑 2026-03-23 | 10/500 |
|
|
[考研] 335求調(diào)劑 +4 | yuyu宇 2026-03-23 | 5/250 |
|
|
[考研] 求調(diào)劑 +7 | 十三加油 2026-03-21 | 7/350 |
|
|
[考研] 環(huán)境學碩288求調(diào)劑 +8 | 皮皮皮123456 2026-03-22 | 8/400 |
|
|
[考研] 269求調(diào)劑 +4 | 我想讀研11 2026-03-23 | 4/200 |
|
|
[考研] 工科0856求調(diào)劑 +5 | 沐析汀汀 2026-03-21 | 5/250 |
|
|
[考研] 291 求調(diào)劑 +4 | 化工2026屆畢業(yè)?/a> 2026-03-21 | 5/250 |
|
|
[考研] 276求調(diào)劑 +3 | YNRYG 2026-03-21 | 4/200 |
|
|
[考研] 275求調(diào)劑 +6 | shansx 2026-03-22 | 8/400 |
|
|
[考研] 一志愿華中科技大學071000,求調(diào)劑 +4 | 沿岸有貝殼6 2026-03-21 | 4/200 |
|
|
[考研] 286求調(diào)劑 +10 | Faune 2026-03-21 | 10/500 |
|
|
[考研] 材料求調(diào)劑 +5 | @taotao 2026-03-21 | 5/250 |
|
|
[考研] 求助 +5 | 夢里的無言 2026-03-21 | 6/300 |
|
|
[考研] 299求調(diào)劑 +5 | shxchem 2026-03-20 | 7/350 |
|
|
[考研] 一志愿武理材料305分求調(diào)劑 +6 | 想上岸的鯉魚 2026-03-18 | 7/350 |
|
|
[考研] 274求調(diào)劑 +10 | S.H1 2026-03-18 | 10/500 |
|
|
[考研] 一志愿南昌大學,327分,材料與化工085600 +9 | Ncdx123456 2026-03-19 | 9/450 |
|
|
[考研] 295材料求調(diào)劑,一志愿武漢理工085601專碩 +5 | Charlieyq 2026-03-19 | 5/250 |
|
|
[考研] 261求B區(qū)調(diào)劑,科研經(jīng)歷豐富 +3 | 牛奶很忙 2026-03-20 | 4/200 |
|