Title

在化學反應下多孔質中混合對流熱質傳之研究

Translated Titles

Combined Heat and Mass Transfer by Mixed Convection in Porous Media in the Presence of Chemical Reaction

DOI

10.6845/NCHU.2009.00607

Authors

黃雅君

Key Words

化學反應 ; 多孔質 ; 混合對流熱質傳 ; Chemical reaction ; Porous media ; Mixed convection heat and mass transfer

PublicationName

中興大學化學工程學系所學位論文

Volume or Term/Year and Month of Publication

2009年

Academic Degree Category

碩士

Advisor

鄭文桐

Content Language

繁體中文

Chinese Abstract

在工程與科學上,有相當多實際的應用與多孔質中的熱質傳遞現象有關,且同時伴隨著化學反應的發生,因此引發了不少相關的研究,以期能在實際操作時有更好的成效,例如減少能量的損耗、加快管線中流體的速度與降低阻力等。 基於此,本文針對這方面進行兩個主題的研究。第一部分在化學反應下,針對含有融化效應的多孔質中,探討穩態混合對流熱傳與質傳現象,以龍格-庫塔-吉爾積分法(Runge-Kutta-Gill method)搭配牛頓迭代修正程序來求解此問題,探討多孔質內混合對流能量與質量傳遞行為,由結果發現: (1) 當熱浮力與濃度浮力互相抑制時,增加反應的速率,會使流體流速加快,熱傳與質傳速率增加,並且可以降低浮力效應對熱傳與質傳的影響。 (2) 在化學反應發生下,融化效應會使速度降低,溫度與濃度邊界層增厚, 熱傳與質傳速率降低。 第二部分是在化學反應下,針對含有輻射效應的多孔質中磁性停滯流現象,探討其隨時間發展的暫態混合對流熱質傳。利用線的方法(method of line,MOL)和中心差分法,並搭配牛頓迭代修正程序來求解此問題,並由結果得知: (1) 在化學反應下對於黏度大的流體,增強輻射效應會使溫度上升,對於應答時間與質傳則沒有明顯影響;而增加化學反應的速率會使質傳加快,其應答時間縮減,而在流力與熱傳的影響上則遠小於質傳。 (2) 降低多孔質的孔隙度,會使流經孔隙的流速加快,摩擦係數、熱質傳速率增加,其應答時間也皆縮短。此外,外加磁場所造成的效果與多孔質一樣。

English Abstract

In the fields of engineering and science there are numerous practical applications related to heat and mass transfer in porous media with chemical reaction. Many studies about this topic have been reported in order to get better performances during the operation in practice, such as lowering the consumption of energy, improving the transfer rate and reducing the flowing resistance of the working fluid. Hence the motive of this paper is to study the subject for two related problems. Firstly, in the presence of chemical reaction, we analyze steady mixed convection for heat and mass transfer in porous media with melting effect. By using the Runge-Kutta-Gill method associated with Newton’s iteration, the transport phenomena of energy and mass are investigated. The results show that: (1) As the thermal buoyancy force is opposed to the concentration buoyancy force, increasing the reaction rate accelerates the fluid flow, heat and mass transfer rates, and lowers the influence of buoyancy on heat and mass transfer. (2) Under chemical reaction, the effect of melting decreases the fluid velocity, thickens the thermal and mass boundary layers, and reduces the rates of heat and mass transfer. Secondly, with chemical reaction, the problem of magnetic Hiemenz flow for unsteady mixed convection through porous media with radiation effects is solved. Via the method of lines (MOL) with the central finite difference and Newton’s iteration, the whole developing process for heat and mass transfer is studied. The numerical results show that: (1) In the presence of chemical reaction, for the fluid with large viscosity, the effect of radiation increases the temperature but makes no difference in the response time and mass transfer; in addition, increasing the reaction rate accelerates mass transfer and reduces the response time of mass transfer, whereas the reaction effect is much smaller on the fluid flow and heat transfer than on mass transfer. (2) Lowering the porosity of porous media makes the flow through the pores of porous media accelerate, the skin-friction coefficient and rates of heat and mass transfer increase, and their response time shorten. Besides, the influence of magnetic fields is the same as the porous medium effect.

Topic Category 工學院 > 化學工程學系所
工程學 > 化學工業
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