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  4. On the Investigation of Non-Linear Dynamics for Natural and Force Convections
 
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On the Investigation of Non-Linear Dynamics for Natural and Force Convections

Date Issued
2005
Date
2005
Author(s)
Tan, Teu-Chia
DOI
zh-TW
URI
http://ntur.lib.ntu.edu.tw//handle/246246/51032
Abstract
Fluid, heat transferring and electromagnetic field are not only broadly influential but also changeable. In order to discuss these three efficiently, scientific and reasonable approach must be presented. My thesis demonstrates and applies industrial complicated problems and natural convection problem with the systematized numerical simulation, in which we probe into diverse motive force activities. Two topics: (1) Free Convection (2) Force Convection will be discussed in this thesis. Firstly, We study the three-dimensional natural convection problem inside a cubical cavity by virtue of the Rayleigh-Benard problem with Boussinesq approximation made in the equations of motion. As the Ra number is increased, the bifurcation phenomenon with multiple solutions occurs. This paper employed the theory underlying the limiting cycles to study their stability evolving from steady to chaotic state. The scientifically calculated bifurcation diagram helps to explore in details the multiple solutions, pitchfork bifurcation, Hopf bifurcation and Frequency-doubling phenomenon. Secondly, I study in Radio Frequency Ablation (RFA) which utilizes the electron heat transfer produced by electric potential difference in alternating current electrode. I probe into the process of eliminating cancer cells in Radio Frequency Ablation which may reach the goals of surgical operation but without any surgical operation. Perfusion effect in blood is concerned during Radio Frequency Ablation process. Thirdly, by simulating the air conditioning, the temperature redistribution indoors and the PMV analysis, I investigate its effect to my own position in different location and time.
Subjects
自然對流
極限環
多重解
叉狀分岔
頻率倍分岔
室內空調
Free Convection
limiting cycles
multiple solutions
pitchfork bifurcation
Hopf bifurcation
Radio Frequency Ablation
PMV
SDGs

[SDGs]SDG3

Type
thesis
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ntu-94-R92525024-1.pdf

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