An extension of the finite hankel transform and applications
An extension of the finite hankel transform and applications
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DOI：
10.1016/0020-7225(65)90034-0
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发表时间：
1965-10
影响因子：
6.6
通讯作者：
G. Cinelli
中科院分区：
文献类型：
--
作者：
G. Cinelli
引入了新的有限 Hankel 变换，其核形式为 [Jμ(ψix)Yμ(ψia)-Jμ(ψia)Yμ(ψix)] 和相应的无穷级数，将具有非对称端点条件的 Bessel 方程的解引入积分变换理论领域。当辐射发生在所有四个表面上时，由不对称内部热源在有限的空心圆柱体中产生瞬态温度的通用解决方案已经完成。作为特例，该解决方案显示了如何包含 Carslaw 和 Jaeger 在空心圆柱体上的结果 [1]。
New finite Hankel transforms with kernels of the form [Jμ(ξix)Yμ(ξia)-Jμ(ξia)Yμ(ξix)] and the corresponding infinite series are introduced, which bring the solution of Bessel's equation with asymmetric endpoint conditions within the realm of integral transform theory. A general solution for the transient temperatures produced in a finite, hollow cylinder by an asymmetrical internal heat source, when radiation takes place on all four surfaces, is accomplished. It is shown how this solution contains Carslaw and Jaeger's results [1] on hollow cylinders as a special case.