کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
788304 | 1465389 | 2008 | 5 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Weakly non-linear waves in a fluid-filled elastic tube with variable prestretch Weakly non-linear waves in a fluid-filled elastic tube with variable prestretch](/preview/png/788304.png)
In the present work, by utilizing the non-linear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable prestretch both in the axial and the radial directions and the approximate equations of motion of an incompressible inviscid fluid, which is assumed to be a model for blood, we studied the propagation of weakly non-linear waves in such a medium, in the long wave approximation. Employing the reductive perturbation method we obtained the variable coefficient KdV equation as the evolution equation. By seeking a travelling wave solution to this evolution equation, we observed that the wave speed is variable in the axial coordinate and it decreases for increasing circumferential stretch (or radius). Such a result seems to be plausible from physical considerations.
Journal: International Journal of Non-Linear Mechanics - Volume 43, Issue 9, November 2008, Pages 887–891