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研究生:施人豪
論文名稱:趨地性微生物在牛頓流體飽合多孔性介質內熱-生物對流穩定性分析
論文名稱(外文):Stability analysis of thermo-bioconvection of gravitactic microorganisms in Newtonian fluids-saturated porous
指導教授:許隆結
指導教授(外文):Long-Jye Sheu
學位類別:碩士
校院名稱:中華大學
系所名稱:機械工程學系碩士班
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:2008
畢業學年度:96
語文別:中文
論文頁數:34
中文關鍵詞:熱-生物對流多孔性介質局部熱不平衡趨地性
外文關鍵詞:thermo-bioconvectionporous medialocal thermal non-equilibrium modelgravitactic
相關次數:
  • 被引用被引用:3
  • 點閱點閱:139
  • 評分評分:
  • 下載下載:9
  • 收藏至我的研究室書目清單書目收藏:0
本論文針對牛頓流體飽合多孔性介質內趨地性微生物進行熱-生物對流穩定性分析,本文中採用局部熱不平衡的模式以兩個方程式來分別描述多孔性材質內液體與固體的溫度,假設流體為牛頓流體同時滿足Boussinesq近似,並以修正的達西(modified Darcy)模型來描述流體的動量方程式。趨地性微生物其游動速度以統計的平均常數來表示,本文中詳細探討不同參數(如 Lewis number, Thermal Rayleigh number, interface heat transfer coefficient, Bioconvection Rayleigh number﹐ Pelect number 等) 對趨地性微生物造成之熱-生物對流穩定性之影響。本文發現在多孔性介質中培克萊特數有一大約為3之臨界值。另外單純的改變普蘭特數比其它參數對流場的穩定性影響較無明顯改變。路易斯數對穩定性的影響,其值越大時對流現象較不易發生。
This article investigates the thermo-bioconvection induced by gravitactic microorganisms in Newtonian fluid-saturated porous media. The local non-equilibrium model is applied by using two equations to separately describe the temperature distributions of solid and liquid phases in the porous media. The modified Darcy model and the Boussinesq approximation are utilized in the momentum equation to simulate flow velocity in the porous media. A constant value of the motile velocity is considered for the gravitactic microorganism.Stability of the thermo-bioconvective flow is discussed in terms of dimensioinless parameters such as Lewis number, thermal Rayleigh number, bioconvection Rayleigh number, Pelect number and the interface heat transfer coefficient. Results indicate that there exists a critical Pelect number (about 3) to thermo-bioconvection in porous media induced by gravitactic microorganisms. The influence of Prandtl number on stability criteria is relatively small. Thermo-bioconvection is suppressed when Lewis number is large.
目 錄
摘 要………………………………………………………………...i
Abstract…………………………………………………………………..ii
誌 謝…………………......…...…...…………………………….....iii
目 錄………………………………………………………………...iv
圖目錄………………………………………………………...…………vi
符號說明………………………………………………………….….ix
第一章 緒論.......................................................1
1.1 研究動機........................................................1
1.2 文獻回顧..........................................................2
1.3 研究目的.................................................4
1.4 研究方法...................................................5
第二章 數學理論與模型建立...............................................6
2.1 物理模型..................................................6
2.2 數學方程式推導............................6
2.3 穩定性分析...........................................10
第三章 結果與討論........................................13
3.1 固體與液體熱傳係數對於流場穩定性分析影響...............13
3.2 孔隙度修正熱傳導係數比()對於流場穩定性分析影響..16
3.3 培萊克特數 對於流場穩定性分析影響.........................19
3.4 路易斯數 之影響..................................24
3.5 普蘭特數 對流場穩定性之影響......................................27
第四章 結論.............................................................30
參考文獻.......................................................................31
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