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分析了球形物体表面遭受一随时间变化脉冲热流时的双曲型非傅立叶热传导问题．给出了此类超急速传热情形下的热传导方程、边界条件及初始条件的无量纲形式，采用Ｌａｐｌａｃｅ变换技术，求得了任意时刻球体内部温度分布的解析解．作为算例，计算了方波脉冲这类随时间变化热流作用下球体内的温度变化，结果表明，该类超急速热传导问题与常规的傅立叶热传导相比具有明显不同的特征
The hyperbolic non-Fourier heat conduction problem is analyzed when the spherical surface is subjected to a pulsed heat flux with time. The heat conduction equations, boundary conditions and initial dimensionless forms of the hypersensitive heat transfer are given. The analytical solutions of temperature distribution inside the sphere at any time are obtained by Laplace transform. As an example, the temperature variation in the sphere under the action of time-varying heat flux, such as a square wave pulse, is calculated. The results show that this type of hypersensitive heat conduction problem has significantly different characteristics compared with the conventional Fourier heat conduction