Geodesic
Calculation of minimum critical Reynolds number for laminar-turbulent transition in pipe flows
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 168-186.

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Summary: This article describes the calculation of the minimum critical Reynolds number for laminar-turbulent transition in pipe flows. From the conclusions of our previous experimental study, it is clear that a transition occurs near the pipe inlet and the critical Reynolds number takes the minimum value of about 2000 in the case of a $\textcent $###$\sterling $straight pipe. Moreover, in our previous calculations of laminar entrance pipe flow, it was found that near the pipe inlet a large pressure gradient in the radial direction exists, which decreases as the Reynolds number Re increases.
Classification : 76E05, 65M50, 80A05
Keywords: hydrodynamic stability, grid refinement, thermodynamics 
@article{ETNA_2008__30__a15,
     author = {Kanda, Hidesada},
     title = {Calculation of minimum critical {Reynolds} number for laminar-turbulent transition in pipe flows},
     journal = {Electronic transactions on numerical analysis},
     pages = {168--186},
     publisher = {mathdoc},
     volume = {30},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a15/}
}
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Kanda, Hidesada. Calculation of minimum critical Reynolds number for laminar-turbulent transition in pipe flows. Electronic transactions on numerical analysis, Tome 30 (2008), pp. 168-186. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a15/