| APPLICATION OF MILES－HOWARD THEOREM TO STUDY THE INSTABILITY OF ATMOSPHERIC GRAVITY WAVES ON A HETEROGENEOUS ORTHOGONAL SHEAR FLOW |
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| 作者姓名： | Sun Li-tan |
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| 作者单位： | Air Force Institute of Meteorology，Nanjing 211101，P. R. China |
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| 摘 要： | ＡＰＰＬＩＣＡＴＩＯＮ ＯＦ ＭＩＬＥＳ－ＨＯＷＡＲＤ ＴＨＥＯＲＥＭ ＴＯ ＳＴＵＤＹ ＴＨＥ ＩＮＳＴＡＢＩＬＩＴＹ ＯＦ ＡＴＭＯＳＰＨＥＲＩＣ ＧＲＡＶＩＴＹ ＷＡＶＥＳ ＯＮ Ａ ＨＥＴＥＲＯＧＥＮＥＯＵＳ ＯＲＴＨＯＧＯＮＡＬ ＳＨＥＡＲ...
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APPLICATION OF MILES-HOWARD THEOREM TO STUDY THE INSTABILITY OF ATMOSPHERIC GRAVITY WAVES ON A HETEROGENEOUS ORTHOGONAL SHEAR FLOW |
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| Sun Li-tan.APPLICATION OF MILES-HOWARD THEOREM TO STUDY THE INSTABILITY OF ATMOSPHERIC GRAVITY WAVES ON A HETEROGENEOUS ORTHOGONAL SHEAR FLOW[J].Journal of Hydrodynamics,1996(3). |
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| Authors: | Sun Li-tan |
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| Abstract: | The instability of heterogenous orthogonal shear flow with free surface boundary condition is investigated in this paper, and the distribution law of frequency on the complex coordinated plane is also given. The result shows that the existence of free surface make it more difficult to satisfy the sufficient condition for instability and further more the complex frequency is limited in a semi-ellipse inside the Howard Semi-circle,with its maximum axis coinciding on the diameter of Howard Semi-circle, while the minimum axis depending upon the wave number, free surface condition, flow shear and the angle between the shear vector and the wave number vector. |
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| Keywords: | stratified flow shear flow instability |
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