導電性流體在收縮平板之熱流場分析

本文為研究導電性牛頓流體在收縮平板表面上穩態熱流場邊界層行為解析。探討在一垂直平板方向之均勻磁場且不同的質量吸入效應下，加入熱對流效應後所產生的影響。經由相似轉換將偏微分統御方程式重新推導後得以用常微分方程式來表示熱流場行為，並以中央差分法進行數值求解。分析結果可得知，加入自然對流效應後，流場會出現回流的狀況，且隨磁場強度、質量吸入效應的增加，回流的狀況受到抑制而漸減，而在越高的Prandtl number下，因自然對流效應所產生的回流現象也會受到抑制。

關鍵字

導電性流體；熱流場；牛頓流體；收縮平板

並列摘要

A the thermal flow analysis for Newtonian MHD fluid on a shrinking sheet was studied. The effects of the uniform vertical magnetic field and a suction flow on the sheet were considered in the present heat convection problem. The similarity method was used to transform the governing partial differential equations to a set of ordinary differential equations. A finite -difference method was used to obtain numerical solution of the equations. The results show that a reverse was present with the natural convection and this effect can be suppressed by the increasing magnetic parameter or suction rate. In addition, the reverse flow is also suppressed with higher prandtl number.

並列關鍵字

shrinking sheet ； MHD fluid ； thermal flow ； Newtonian fluid

參考文獻

22. 黃文翰，「導電性流體流經收縮平板之邊界層流場分析」，中原大學機械工程所碩士論文，2010

21. 郭政忠，”楔形流場中在磁場影響下氣膠傳輸機制之研究”，中原大學，2004

1. H.I. Andersson, K.H. Bech, and B.S. Dandapat, “ Magnetohydrodynamic flow of a power-law fluid over a stretching sheet ”, Int. J. Non-Linear Mechanics, Vol. 27, No. 6, pp. 929-936, 1992

2. T.C. Chiam, “ Hydromagnetic flow over a surface stretching with a power-law velocity ” Int. J. Engng Sci., Vol. 33, No. 3, pp. 429-435, 1995

3. H.I. Andersson, J.B. Aarseth, N. Braud, and B.S. Dandapat, “ Flow of a power-law fluid film on an unsteady stretching surface ”, Int. J. Non-Newtonian Fluid Mech., Vol. 62, pp. 1-8, 1996

國際替代計量

導電性流體在收縮平板之熱流場分析

全文下載

主題瀏覽