Program in Applied Mathematics, The University of Arizona, Tucson, AZ 85721, USA.
Philos Trans A Math Phys Eng Sci. 2012 Feb 13;370(1960):668-88. doi: 10.1098/rsta.2011.0343.
A stability analysis is carried out taking into account slightly porous walls in an idealized detonation confined to a circular pipe. The analysis is carried out using the normal-mode approach and corrections are obtained to the underlying impenetrable wall case results to account for the effect of the slight porosity. The porous walls are modelled by an acoustic boundary condition for the perturbations linking the normal velocity and the pressure components and thus replacing the conventional no-penetration boundary condition at the wall. This new boundary condition necessarily complicates the derivation of the stability problem with respect to the impenetrable wall case. However, exploiting the expressly slight porosity, the modified temporal stability can be determined as a two-point boundary value problem similar to the case of a non-porous wall.
考虑到理想受限在圆形管道中的爆轰，进行了稳定性分析。该分析采用了标准模式方法，并对基础的不可渗透壁情况的结果进行了修正，以考虑轻微多孔性的影响。多孔壁通过扰动的声边界条件建模，连接法向速度和压力分量，从而取代壁上的常规无穿透边界条件。这种新的边界条件必然会使相对于不可渗透壁情况的稳定性问题的推导复杂化。然而，利用明显的轻微多孔性，可以将修改后的时间稳定性确定为类似于非多孔壁情况的两点边值问题。
