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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

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[J]. 应用数学和力学, 2009, 30(3): 353-359.
引用本文: 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[J]. 应用数学和力学, 2009, 30(3): 353-359.
Oluwole Daniel Makinde. Thermal Criticality for a Reactive Gravity Driven Thin Film Flow of a Third Grade Fluid With Adiabatic Free Surface Down an Inclined Plane[J]. Applied Mathematics and Mechanics, 2009, 30(3): 353-359.
Citation: Oluwole Daniel Makinde. Thermal Criticality for a Reactive Gravity Driven Thin Film Flow of a Third Grade Fluid With Adiabatic Free Surface Down an Inclined Plane[J]. Applied Mathematics and Mechanics, 2009, 30(3): 353-359.

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

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

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

  • 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.
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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

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