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  本文選題：MHD流動與傳熱　切入點：變粘性系數(shù)　出處：《沈陽師范大學(xué)》2017年碩士論文　論文類型：學(xué)位論文

【摘要】：平板駐點流動問題是流體力學(xué)基礎(chǔ)中的經(jīng)典問題,而關(guān)于其數(shù)值解的研究也一直在持續(xù)。在Hiemenz首先研究了二維平板駐點流動并計算出了N-S方程的精確解之后,許多其他研究者也在不同方面進行了研究并取得了優(yōu)秀的成果。隨著研究的不斷深入,二維問題也逐步擴展到三維空間,其中最具代表性的問題便是旋轉(zhuǎn)圓盤流動問題。但之前的大部分研究只考慮了平板運動、平板傳熱及外加熱源等單一因素或單一變物性參數(shù)變化對整個流場的影響。本文同時考慮多個因素對流場的影響,主要研究溫敏二維MHD平板駐點流動及三維旋轉(zhuǎn)圓盤流動問題,其中粘性系數(shù)和熱傳導(dǎo)系數(shù)均為溫度的函數(shù),同時考慮磁場對流場的影響。論文分為五部分:第一章,介紹了平板駐點流動及旋轉(zhuǎn)圓盤流動問題的研究背景及本文的研究意義;第二章,介紹了基本的平板駐點流動及旋轉(zhuǎn)圓盤流動問題,包括相似解的設(shè)定,邊界條件的轉(zhuǎn)化,以及求解基本問題的方法;第三章,研究了溫敏MHD平板駐點流動問題。首先對問題進行物理分析得到N-S方程組,然后運用相似變換將N-S方程組轉(zhuǎn)化為常微分方程組并用打靶法數(shù)值求解,最后詳細(xì)分析了流場量隨各參數(shù)的變化趨勢;第四章,研究了溫敏MHD旋轉(zhuǎn)圓盤流動問題。首先對問題進行物理分析得到N-S方程組,然后運用相似變換將N-S方程組轉(zhuǎn)化為常微分方程組并用打靶法數(shù)值求解,最后詳細(xì)分析了流場量隨各參數(shù)的變化趨勢,并與文獻[20]的結(jié)果進行了比較;第五章,對第三章及第四章的結(jié)論進行比較和總結(jié)。
[Abstract]:The stationary point flow problem is a classical problem on the basis of hydrodynamics, and the study of its numerical solution has been continuing. After Hiemenz first studied the two-dimensional stationary point flow and calculated the exact solution of N-S equation. Many other researchers have also carried out research in different fields and achieved excellent results. As the research continues to deepen, the two-dimensional problem has gradually expanded to three-dimensional space. The most representative of these problems is the flow of rotating disks. But most previous studies have only considered plate motion. The influence of single or single variable physical parameters such as plate heat transfer and external heat source on the whole flow field is studied in this paper. Considering the influence of multiple factors on the flow field, this paper mainly studies the flow at the stationary point of the two-dimensional MHD plate and the three-dimensional rotating disk flow. The viscosity coefficient and heat conduction coefficient are both functions of temperature, and the influence of magnetic field flow field is considered. The thesis is divided into five parts: the first chapter introduces the research background and significance of the flow problem of flat plate stationary point flow and rotating disk flow. In the second chapter, the basic problems of stationary point flow and rotating disk flow are introduced, including the setting of similar solutions, the transformation of boundary conditions, and the methods to solve the basic problems. In this paper, the stationary point flow problem of a thermo-sensitive MHD plate is studied. Firstly, the N-S equations are obtained by physical analysis, then the N-S equations are transformed into ordinary differential equations by similar transformation and solved numerically by the shooting method. Finally, the variation trend of flow field with various parameters is analyzed in detail. In chapter 4, the temperature sensitive MHD rotating disk flow problem is studied. Firstly, the N-S equations are obtained by physical analysis of the problem. Then the N-S equations are transformed into ordinary differential equations by similar transformation and numerically solved by shooting method. Finally, the variation trend of flow field with various parameters is analyzed in detail, and compared with the results of reference [20]. The conclusion of the third and fourth chapters are compared and summarized.
【學(xué)位授予單位】：沈陽師范大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O35

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