This paper propose the analytical solve of effective factor of one-dimensional cylindroid catalyst, which takes an one-order inreversible reaction, by using special functions.
利用特殊函数求出了一维圆柱形催化剂在等温一级不可逆反应中的效率因子，并对其渐进方程和普遍化效率因子进行了讨论。
CONCLUSIONS The findings support: the clinical application of ESWL can not make severe damage to the patients, but excessive shock wave firing should be avoided to prevent the inreversible damages.
结论：实验支持体外冲击波碎石术在临床应用，但应尽量避免对肝胆组织的过度冲击，以免产生严重的细胞损伤。
CONCLUSIONS The findings support: the clinical application of ESWL can not make severe damage to the patients, but excessive shock wave firing should be avoided to prevent the inreversible damages.
结论：实验支持体外冲击波碎石术在临床应用，但应尽量避免对肝胆组织的过度冲击，以免产生严重的细胞损伤。
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