%0 Journal Article %1 lekner:2007 %A Lekner, John %D 2007 %J European Journal of Physics %K mechanics %N 3 %P 521--527 %T Viscous flow through pipes of various cross-sections %U http://stacks.iop.org/0143-0807/28/521 %V 28 %X An interesting variety of pipe cross-sectional shapes can be generated, for which the Navier-Stokes equations can be solved exactly. The simplest cases include the known solutions for elliptical and equilateral triangle cross-sections. Students can find pipe cross-sections from solutions of Laplace's equation in two dimensions, and then plot the velocity distribution in the pipe. The total flow for a given pressure gradient and pipe area can be readily compared for different pipe shapes.

@article{lekner:2007, abstract = {An interesting variety of pipe cross-sectional shapes can be generated, for which the Navier-Stokes equations can be solved exactly. The simplest cases include the known solutions for elliptical and equilateral triangle cross-sections. Students can find pipe cross-sections from solutions of Laplace's equation in two dimensions, and then plot the velocity distribution in the pipe. The total flow for a given pressure gradient and pipe area can be readily compared for different pipe shapes.}, added-at = {2010-07-23T07:14:55.000+0200}, author = {Lekner, John}, biburl = {https://www.bibsonomy.org/bibtex/21b3e54fbf497ffef5a2ce4867c6f9a0b/richterek}, interhash = {56d56d414816d53d93b5b3833caca556}, intrahash = {1b3e54fbf497ffef5a2ce4867c6f9a0b}, journal = {European Journal of Physics}, keywords = {mechanics}, mendeley-tags = {mechanics}, number = 3, pages = {521--527}, timestamp = {2010-07-23T07:15:02.000+0200}, title = {{Viscous flow through pipes of various cross-sections}}, type = {Journal article}, url = {http://stacks.iop.org/0143-0807/28/521}, volume = 28, year = 2007 }