Abstract
The effects of the curvature of the side walls on the flow of an incompressible viscous fluid in a duct of uniform cross-section due to the motion of the top wall and an imposed pressure gradient along the duct are considered. In order to show the effect of the wall curvature, two illustrative examples are given. One of them is the flow in a duct of semicircular cross-section and the other is the flow in a duct of rectangular cross-section. The results obtained for the flow in a duct of semicircular cross-section for zero flux and for separation at the bottom wall are compared with those of the flow in a duct of rectangular cross-section. It is a remarkable effect of the wall curvature on the flow in a duct that the separation at the bottom wall for the flow in a rectangular duct starts earlier than that in a semicircular duct.
| Original language | English |
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| Pages (from-to) | 123-130 |
| Number of pages | 8 |
| Journal | Acta Mechanica |
| Volume | 167 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - Feb 2004 |