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比热容非常值对高超声速平板边界层稳定性的影响
引用本文:贾文利,曹伟.比热容非常值对高超声速平板边界层稳定性的影响[J].应用数学和力学,2010,31(8):934-940.
作者姓名:贾文利  曹伟
作者单位:天津大学 力学系,天津 300072
基金项目:国家自然科学基金重大研究计划资助项目,国家自然科学基金资助项目 
摘    要:在高超声速条件下,边界层中气体的温度可能很高,以致气体的比热容不再是常数而与温度有关.这时边界层中的流动稳定性如何是值得研究的问题.采用线性稳定性理论,考虑比热容与温度有关时高超声速可压缩平板边界层的稳定性,并与假定比热容为常值的情况作比较,发现对第一模态和第二模态波的中性曲线、最大增长率都有影响.因此,在高超声速情况下,比热容随温度变化是研究边界层稳定性时必须考虑的一个因素.

关 键 词:二维超音速平板边界层    变比热容    稳定性
收稿时间:1900-01-01

Effects of Variable Specific Heat on the Stability of Hypersonic Boundary Layer on a Flat Plate
JIA Wen-li,CAO Wei.Effects of Variable Specific Heat on the Stability of Hypersonic Boundary Layer on a Flat Plate[J].Applied Mathematics and Mechanics,2010,31(8):934-940.
Authors:JIA Wen-li  CAO Wei
Institution:Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
Abstract:The gas temperature within hypersonic boundary layer flow is so high that the specific heat of gas is nolonger a constant but relates with temperature. How variable specific heat to influence on boundary layer flow stability is worth researching. The effect of the variable specific heat on the stability of hypersonic boundary layer flows was studied and compared with the case of the specific heat to be supposed constant, based on the liner stability theory. It is found that the variable specific heat indeed has some effects on the neutral curves of both first-mode and second-mode waves, and on the maximum rate of growth either. Therefore, the relation ship between specific heat and temperature should be considered in the study of the stability of the boundary layer.
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