The aim of this study is to model the nature of nonlinear torsional magnetohydrodynamic waves propagating in solar jets as they are elevated to the outer solar atmosphere. The contribution of sequential processes to the transfer of energy is taken under consideration: the nonlinear cascade and shock formation. Thus a straight magnetic cylinder embedded in a plasma with an initial magnetic field and parallel flow to the cylinder axis is implemented. To resemble a jet where the oscillation wavelength highly exceeds the radius, the second-order thin flux tube approximation proves adequate. A Cohen–Kulsrud type equation is presented, and its solution highly depends on the parameter presented in this study, which itself is constituted of various environmental and equilibrium conditions that affect the perturbations of the variables as well as the nonlinear forces connected to Alfvn wave propagation. The shock formation time of torsional waves is inversely proportional to the density contrast of the jet, while the efficiency of energy transfer to shorter scales is directly proportional to the density contrast. While the parallel flow with a shear at the boundary expedites shock formation, its efficiency regarding energy transfer is dramatically enhanced by the plasma-β, significantly contributing to coronal heating. The observational and seismological aspect of the present study is that faster jets are less probable for observations at higher altitudes, as they experience energy transfer mostly at the base of the corona, while slow speed jets may be observed at higher altitudes contributing to solar wind acceleration.

这项研究的目的是模拟非线性扭转磁流体动力波在太阳喷流中传播的性质，因为它们被提升到太阳外大气层。考虑了连续过程对能量转移的贡献：非线性级联和激波形成。因此，实现了嵌入具有初始磁场和平行于圆柱轴的等离子体中的直磁圆柱。为了模拟振荡波长高度超过半径的射流，二阶薄通量管近似证明是足够的。提出了 Cohen-Kulsrud 型方程，其解高度依赖于本研究中提出的参数，它本身由影响变量扰动的各种环境和平衡条件以及与 Alfvn 波传播相关的非线性力组成。扭转波的激波形成时间与射流的密度对比成反比，而能量向较短尺度的传递效率与密度对比成正比。虽然在边界处具有剪切力的平行流动加速了激波的形成，但其能量传递效率却因等离子体-β，显着促进日冕加热。本研究的观测和地震学方面是，在高海拔地区观测速度较快的喷流的可能性较小，因为它们主要在日冕底部进行能量转移，而在高海拔地区可能会观察到慢速喷流，这有助于太阳风加速.