具有绝热自由表面的三阶流体在重力作用下沿斜面薄膜流动时的热临界

O·D·玛金德

具有绝热自由表面的三阶流体在重力作用下沿斜面薄膜流动时的热临界

O·D·玛金德

开普半岛理工大学工程系,贝尔维尔 7535,南非

基金项目: 南非Thuthuka计划国家研究基金资助

详细信息

中图分类号: O373;O414.1
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出版历程
- 收稿日期: 2008-08-20
- 修回日期: 2008-12-02
- 刊出日期: 2009-03-15

Thermal Criticality for a Reactive Gravity Driven Thin Film Flow of a Third Grade Fluid With Adiabatic Free Surface Down an Inclined Plane

Oluwole Daniel Makinde

Faculty of Engineering, Cape Peninsula University of Technology, P. O. Box 1906, Bellville 7535, South Africa

摘要

摘要: 研究三阶流体在重力作用下，沿着一个倾斜等温的，带绝热自由表面时薄膜流动的热临界机理．假设是Arrhenius动力学意义下的发热反应，同时不计物质消耗A·D2得到了动量和能量守恒的非线性控制方程，并以MAPLE为工具，基于一种特殊形式的Hermite-Padé近似技术，使用一种全新的数值逼近方法解之．这种半数值方法比之传统的方法，如有限差分法、频谱法、打靶法等，具有一定的优势．得到了解函数的解析结构,并对全部流动结构的重要性能，包括速度场、温度场、热临界和分岔加以讨论．
- 倾斜的等温面 /
- 三阶流体 /
- Hermite-Padé近似 /
- 热临界
Abstract: The thermal criticality for a reactive gravity driven thin film flow of a third grade fluid with adiabatic free surface down an inclined isothermal plane is investigated. It was assumed that the reaction is exothermic under Arrhenius kinetics, neglecting the consumption of the material. The governing non-linear equations for conservation of momentum and energy were obtained and solved using a new computational approach based on a special type of Hermite-Pad approximation technique implemented on MAPLE. This seminumerical scheme offers some advantages over solutions obtained by using traditional methods such as finite differences, spectral method, shooting method, etc. It reveals the analytical structure of the solution function and the important properties of overall flow structure including velocity field, temperature field, thermal criticality and bifurcations were discussed.
- isothermal inclined plate /
- third grade fluid /
- Hermite-Pad approximants /
- thermal criticality

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参考文献(14)

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