Scalar Wave Diffraction by a Rigid Cylindrical Rod of Finite Length with Impedance Ends

Author(s):  
A. Büyükaksoy ◽  
B. Polat
1960 ◽  
Vol 27 (4) ◽  
pp. 617-622 ◽  
Author(s):  
W. H. Chu ◽  
H. N. Abramson

This paper presents a theoretical solution for transient heat conduction in a rod of finite length with variable thermal properties. A numerical procedure is developed and the results of one example are presented and compared with the corresponding solution for the case of constant properties. Application to the problem of determination of thermophysical properties is discussed briefly.


The problem to be considered is the calculation of the polarisation induced in a cylindrical rod of finite length by a uniform field of force parallel to its axis. The only formula previously given appears to be that of Green for the normal component of the polarity at the surface of the rod. In the following investigation the method of solution of the general problem of induction by series is used, and expressions are given in §§ 4 and 5 for the mean moment of the rod and the induction across the central section. It is assumed that the susceptibility of the rod is independent of the applied force; consequently the formulæ apply especially to a dielectric rod suspended in a uniform field of electric force, this being, in fact, the purpose for which the calculations were made.


Sign in / Sign up

Export Citation Format

Share Document