The Taylor-Culick profile with arbitrary headwall injection
The Taylor-Culick profile with arbitrary headwall injection
复制标题
具有任意端壁注入的 Taylor-Culick 剖面
DOI：
10.1063/1.2746003
复制
发表时间：
2007
影响因子：
4.6
通讯作者：
T. Saad
中科院分区：
文献类型：
--
作者：
J. Majdalani;T. Saad
将Taylor不可压旋转型线推广到具有任意端壁喷射的多孔圆柱。该剖面，通常被称为Culick平均流量，现在被推广到允许施加反应端墙条件。从欧拉定常方程开始，我们得到的解是近似的，仅在侧壁、中心线或符合相似性的进气道型线处是精确的。此外，该近似是准粘性的，在侧壁处观察到无滑移要求。基于无粘流条件下的数值实验，我们得到的封闭形式的近似似乎是非常适合于描述的整体流场的固体和混合动力火箭的基本模型，均匀的侧壁喷射施加在推进剂表面。对于相似性-相似性剖面，随着我们远离端墙，近似值变得更加精确。计算结果与几种端壁喷射方式的计算结果进行了比较。
Taylor’s incompressible and rotational profile is extended to a porous cylinder with arbitrary headwall injection. This profile, often referred to as Culick’s mean flow, is now generalized to permit the imposition of reactive headwall conditions. Starting with Euler’s steady equations, the solution that we derive is approximate, being exact only at the sidewall, the centerline, or for similarity-conforming inlet profiles. Furthermore, the approximation is quasiviscous, being observant of the no slip requirement at the sidewall. Based on numerical experiments under inviscid flow conditions, the closed-form approximation that we obtain appears to be well suited to describe the bulk flow field in basic models of solid and hybrid rockets where uniform sidewall injection is imposed at the propellant surface. For similarity-nonconforming profiles, the approximation becomes more accurate as we move away from the headwall. Results are verified using computational fluid dynamics for several headwall injection patt...