導電性流體層流噴射流之研究

A Study of a MHD Laminar Jet Flow

陳逸(Yi Chen)

指導教授 ： 許政行

中原大學/工學院/機械工程研究所/碩士(2011年)

https://doi.org/10.6840/cycu201100948

摘要

中文摘要
本文以數值模擬研究二維穩態層流之受限噴射流在外加磁場作用下之流動情形。為了解導電性流體在磁場作用下之流動情形，使用流線函數-渦度法求解磁液體動力學方程式，在數值方法的展開上，邊界使用一階上風法，流場使用二階有限體積中央差分法。
分析結果顯示，隨著寬度與雷諾數增加，流場中的擴展區會延後、迴流區與渦流會拉長，而改變哈特曼數則會使擴展區提前、迴流區與渦流會縮短。故可以得知寬度與雷諾數對於流場發展有正向效應，而哈特曼數則有抑制之效果。

關鍵字

哈特曼數 ； 一階上風法 ； 導電性流體 ； 層流、受限噴射流

並列摘要

ABSTRACT
The present study investigates steady two-dimensional laminar confined jet flow in the presence of an applied magnetic field. The magnetohydrodynamic equations with the format of the stream-function and vorticity formulation of the fluid flow were solved numerically. A numerical method was developed by using a first-order upwind scheme at the boundaries and a second-order finite control volume scheme in the flow field.
The results show that the expansion region of the jet is moving downstream while the channel width and the Reynolds number are increasing; the vortex and the circulation zone are stretched with the increased Hartmann number, and the jet expansion region is moving upstream while the vortex and the circulation zone are reduced. The channel width and the Reynolds number for the jet development are positive efforts and the Hartmann number is a suppressed effort in the present confined jet flow field.

並列關鍵字

Hartmann number ； First-order upwind scheme ； MHD ； Confined jet ； Laminar

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