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suchuanqi新蟲 (初入文壇)
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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)
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摘要:從導(dǎo)熱微分方程出發(fā)推導(dǎo)出了一般情況下平均溫度隨時(shí)間的變化規(guī)律,它是對(duì)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(dá)式,并推出邊界熱流一定時(shí)的平均溫度與時(shí)間呈線性關(guān)系,絕熱邊界條件下的平均溫度不隨時(shí)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(shí)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(duì)生產(chǎn)加工過程進(jìn)行控制。但是,非穩(wěn)態(tài)導(dǎo)熱問題的解析求解是非常復(fù)雜的,尤其是形狀不規(guī)則物體的高維導(dǎo)熱問題。這時(shí)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(shí)間的變化規(guī)律。顧祥紅針對(duì)無限長圓柱體和圓球物體,提出了非穩(wěn)態(tài)導(dǎo)熱的平均溫度集總參數(shù)分析法。由于平均溫度只與時(shí)間有關(guān),而與空間坐標(biāo)無關(guān),這樣我們便可把三維導(dǎo)熱問題轉(zhuǎn)化成只含時(shí)間變量的零維導(dǎo)熱問題來處理,這時(shí)平均溫度滿足一個(gè)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(dá)。 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(dǎo)出了一般情況下平均溫度隨時(shí)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(duì)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(dá)式,并推出邊界熱流一定時(shí)的平均溫度與時(shí)間呈線性關(guān)系,絕熱邊界條件下的平均溫度不隨時(shí)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(dǎo)熱系統(tǒng)兩個(gè)方面對(duì)正態(tài)分布與狄拉克 函數(shù)的性質(zhì)及其相互關(guān)系進(jìn)行了分析。計(jì)算得到狄拉克 函數(shù)所對(duì)應(yīng)的信息熵為負(fù)無窮大,并對(duì)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(dǎo)熱系統(tǒng)的傳遞函數(shù),并用系統(tǒng)的觀點(diǎn)分析了正態(tài)分布與 狄拉克函數(shù)在導(dǎo)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(yù)版主 (知名作家)
笑熬漿糊——滿腦漿糊
個(gè)人認(rèn)為,全文翻譯都比較流暢,僅作了小范圍潤色,請(qǐng)你自己再次對(duì)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. |

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