氣流的非黏性駐波通過不連續管子之探究

Inviscid stationary waves of gas flow through discontinuous nozzles

王裕惇(Yu-Dun Wang)

指導教授 ： 洪盟凱

國立中央大學/理學院/數學系/碩士(2011年)

摘要

本論文我們將研究一維有黏性、等熵且可壓縮的流體通過各式各樣的不連續管子的非黏性穩定狀態，透過使用geometric singular perturbation 的技巧來建立駐波(stationary wave)的存在性。我們研究包括supersonic、subsonic、transonic 的駐波都是不連續的，並且將每種情況中的非黏性駐波分類討論。特別是，我們將探討光滑的管子和不連續的管子中的駐波的差別。

關鍵字

水平到擴張之不連續管子 ； 幾何奇異擾動 ； 氣流 ； 穩定狀態.

並列摘要

In this work we study inviscid steady-states of one-dimensional viscous isentropic compressible flows through various discontinuous nozzles. We establish the existence of stationary waves by using geometric singular pertur-bation technique. We conclude that all stationary waves including supersonic, subsonic and transonic, are discontinuous. Also, we classify all inviscid stationary waves in every situation.In particular, we discuss the difference of inviscid stationary waves between smooth nozzle and discontinuous nozzle.

並列關鍵字

geometric singular perturbation ； Gas flow ； transonic steady-state. ； horizontal- expanding discontinuous nozzle

參考文獻

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