外文翻譯--一維數(shù)學模型
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英文原文 1 u to u =( is of of h = h(θ ) is m˙ = m˙ (θ ) is p = p(θ ), in ˙ Q = ˙ Q(θ ), ˙ V = ˙ V (θ ) of In in of o i lo i u cs u ,..+= (l, g i sd i ,.. += (l, l m˙ of or of of he to to in of is by u = in of be in .2 as as it of as of as as it e is is as as on of to is by of As 52 3 in is a of of as as on of is to in is is no or it is in is by of by to is by of is in of to is at a If in is in if is be in of a is to in to is by . is is In dV/d? be If or is of be in In of in is is is of is by a o u to u .( o i u ,.. ??? ( 53 .,.?(of m ???. (w[m/s] ρ – – = ρ (θ ) is m in of , = m/V . he is it be as a of of . is ????????? s u u ??s u c( at of 0 of of is at so = 0, if is ???????? ??? se i ? ???s in,d i s(e of c of 0 of (2 12 ? ?? ( is of in a if 54 3 in a to a of an by or of of of it is to of to to a to a of of is In to is is to be at at a if is in of as in No is to of a of be by an of An is to a of is by m ????. (r w of g lg δ g or μ = μ (in a by to of be “ in it it is 55 02211 ??? l????(f(is is on Dg is of 2δ g dx is ≈ to in of be in of at to at of to ???????? ???????? ( = g + Σ ξ g in f ζ be as a of a is of to in of be in of to At in of a It is as an of to at . il of or or in a a of be to of as or in or be if to A be A to is is to be be 21.... (is in as an 6 3 n to a is to To is a of by of is is by or by of be in of a of of be it or by in a of in of In a is in is an a a be in of a o = o is π , dS is of ho is on an of of or by is o of of be ? ?o i a so ? ?? 00 (ho is ?N (of in at ??1 ,(o,p is at k is of k = τ /Δ t = ωτ /Δ θ , = of ??????? o o i o i lo is to of is to of 57 is on is it or or is is by of to a by an to on of of in of 0 0m/s, is 0 μm. et 1992. of a of be on of to be a of is of dS n an of is ? ? ? ? ? ? ? ? o i lo i lg a so i lg a s m c c ??????? 11 ?? ( is is or of in be by of ? ? ? ? ? ?? ? ? ?o i m c ? ???? 111?(If k , or In of a is be be as a of be by as a of as is of p = ,V ) u = ,V ) be of 中文譯文 維數(shù)學模型 51 內(nèi)部能量守恒 u to u =(其中 θ是角度的旋轉(zhuǎn)的主旋翼 h =h( θ )的比焓, m˙ =m˙ ( θ )是質(zhì)量流率 p = ( θ ) ,工作腔的控制體積中的流體壓力, ˙ Q = Q˙( θ )的流體之間的熱傳遞和壓縮機周圍, ˙ V = ˙V ( θ ) ,壓縮機工作腔中的本地卷。 在上述方程中,輸入和輸出的下標表示的流體流入及流出。 流體的總焓流入由以下組件: o i lo i ,..?? (其中,下標 L, G 表示泄漏增益 抽吸條件,和油為石油。 流體總流出焓包括: i sd i u t ,.. ?? (指數(shù)升, l 表示泄漏損耗和 示放電條件與 m˙顯示表示放電注入的油或其它液體污染的氣體的質(zhì)量流率 右手 法 側(cè)的能量方程由模型的下列術語 流體和壓縮機的螺桿轉(zhuǎn)子和殼體,并通過它們的周邊,由于氣體的溫度 的 差異, 上 述殼體和轉(zhuǎn)子的表面之間的熱交換的傳熱系數(shù)求值表達式 = 通過主轉(zhuǎn)子的外徑和內(nèi)徑之間的差異為特征長度的雷諾數(shù)和努塞爾數(shù) 。這可能不是用于此目的的最合適的尺寸,但出現(xiàn)的特征長度在 指數(shù)部分的傳熱系數(shù)的表達式,因此,只要它表征壓縮機的體積 , 它仍然在同一個數(shù)量級,作為其他特征尺寸的影響不大的機器。特征速度為 的計算從本機的質(zhì)量流量和橫截面面積。這里的表面,在其上進行熱交換,以及壁溫,依靠的主旋翼的旋轉(zhuǎn)角度 θ 。 上述 所表示的商品的大量攝入量和其平均焓由于工作體積的氣體流入的能量增益 決定 。因此,能量的流入的旋轉(zhuǎn)角變化。在吸入期間, 等于 氣體進入工作容積帶來的平均氣體焓 。 52 3 螺桿壓縮機性能的計算吸入室中占主導地位。 然而 ,在吸入口關閉時,一定量的壓縮氣體通過間隙泄漏到壓縮機工作腔 。該氣體的質(zhì)量,以及其焓 在 氣體泄漏方程的基礎上確定。工作體積充滿了氣體,由于泄漏,只有當工作體積周圍的空間中的氣體壓力較高,否則無泄漏,或它是在相反的方向,即從對其他壓力通風系統(tǒng)的工作腔。 總流入焓進一步校正的焓的量帶入工作腔注入的油。 由于從工作體積的氣體流出的能量損失是指由商品質(zhì)量的流出和平均氣體焓。在 工作過程中,這是進入排放氣室,被壓縮的氣體的同時,在擴展的情況下,由于不適當?shù)呐懦鰤毫?,這是通過在較低壓力下工作體積到鄰近的空間的間隙泄漏的氣 體。如果工作腔中的壓力低于在排出室,排放口是打開的,該流程將在相反的方向,即從排出氣室進入工作腔。質(zhì)量的變化,有一個負號 其假定的焓等于壓力腔中的平均氣體焓。 供給的工作氣體在壓縮過程中的熱力學表示由術語 這個術語是從本地的壓力和體積變化率進行評估。后者被定義產(chǎn)生瞬時工作體積和其旋轉(zhuǎn)角度的變化的螺桿運動學的關系得到的。事實上,術語的 差 ,捕獲和重疊區(qū)域校正。 如果油或其它流體注入 上 述壓縮機的工作腔,油質(zhì)量的流入和其焓應包括在流入條款 而 事實,盡管 在混合物中的油的質(zhì)量分數(shù)顯著的體積流率時,其效果是 不明顯的 ,因為油的體積分數(shù)通常是非常小的。總流出的流體的質(zhì)量,還包括注入的油,其中的較大部分仍然與工作流體混合。氣體之間的熱傳遞和油滴描述由一個一階微分方程 確定 。 質(zhì)量連續(xù)性方程 o u to u ???(質(zhì)量連續(xù)性方程 o i u ?? ,(維數(shù)學模型 53 質(zhì)量的流出率包括: ??(質(zhì)量流率的每一個 方程 滿足連續(xù)性方程 ??.- 配套講稿:
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