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The analytic solution to the evolution of the axisymmetric vortex in a weakly secondary shear ambient flow is obtained using the Green's function method.The result indicates:when the weakly secondary shear grows(decays),the maximum value of the perturbation kinetic energy also grows(decays),and the change of the energy accelerates(slows).The range of the vortex also has impact on the perturbation kinetic energy and its change rate. 运用格林函数方法,给出了弱二次切变流轴对称涡旋演变的解析解。结果表明:当环境流中弱二次切变强度增加(减少)时,扰动动能的最大值增加(减小),扰动动能的变化加速(减速);而扰动涡旋的范围对扰动动能的大小与变化也存在一定的影响。
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