کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640398 | 1341274 | 2010 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Using coordinate transformation of Navier–Stokes equations to solve flow in multiple helical geometries Using coordinate transformation of Navier–Stokes equations to solve flow in multiple helical geometries](/preview/png/4640398.png)
Recent research on small amplitude helical pipes for use as bypass grafts and arterio-venous shunts, suggests that mixing may help prevent occlusion by thrombosis. It is proposed here that joining together two helical geometries, of different helical radii, will enhance mixing, with only a small increase in pressure loss. To determine the velocity field, a coordinate transformation of the Navier–Stokes equations is used, which is then solved using a 2-D high-order mesh combined with a Fourier decomposition in the periodic direction. The results show that the velocity fields in each component geometry differ strongly from the corresponding solution for a single helical geometry. The results suggest that, although the mixing behaviour will be weaker than an idealised prediction indicates, it will be improved from that generated in a single helical geometry.
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 7, 1 August 2010, Pages 2069–2079