温度梯度对管中非线性驻波的影响

从流体动力学基本方程出发，根据大振幅驻波理论，给出了不存在温度梯度时大振幅驻波声场的严格解，并进一步得到了存在温度梯度条件下的声场近似解．通过数值计算，分析了温度梯度对大振幅驻波场的影响．结果表明，有温度梯度时，声压级差(即相同条件下有无温度梯度声压级的差)变化总趋势随温度梯度的增大而增大；温度梯度给定时，声压级差随距离的增大而增大；温度梯度对高次谐波的影响较大，且阶次越高，影响越大．

Influence of temperature grads on nonlinear standing wave in a tube

The influence of high-intensity is greater and greater in the modern society, and involves standing waves in many field. It is necessary to study the finite-amplitude standing wave, and effect of temperature grads to nonlinear standing waves is important. The formulas of steady wave forms are derived from the fundamental equations of hydrodynamic, and rigorous solution are achieved on the condition of taking into account character of standing wave. An approximate is obtained solution in the condition of temperature grads. Effect of temperature grads to nonlinear standing waves is analyzed: SPL difference is increscent along with increase of temperature grads, SPL difference is increscent along with increase of distance when temperature grads is fixed, the effect of temperature grads is bigger to higher harmonic than lower one.