On modelling the transition to turbulence in pipe flow
Forbes, Lawrence K. ; Brideson, Michael A.
ANZIAM Journal, Tome 58 (2017), / Harvested from Australian Mathematical Society
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As a possible model for fluid turbulence, a Reiner–Rivlin-type equation is used to study Poiseuille–Couette flow of a viscous fluid in a rotating cylindrical pipe. The equations of motion are derived in cylindrical coordinates, and small-amplitude perturbations are considered in full generality, involving all three velocity components. A new matrix-based numerical technique is proposed for the linearized problem, from which the stability is determined using a generalized eigenvalue approach. New results are obtained in this cylindrical geometry, which confirm and generalize the predictions of previous recent studies. A possible mechanism for the transition to turbulent flow is discussed. doi:10.1017/S1446181117000256

Publié le : 2017-01-01
DOI : https://doi.org/10.21914/anziamj.v59i0.11292 
@article{11292,
     title = {On modelling the transition to turbulence in pipe flow},
     journal = {ANZIAM Journal},
     volume = {58},
     year = {2017},
     doi = {10.21914/anziamj.v59i0.11292},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/11292}
}

Forbes, Lawrence K.; Brideson, Michael A. On modelling the transition to turbulence in pipe flow. ANZIAM Journal, Tome 58 (2017) . doi : 10.21914/anziamj.v59i0.11292. http://gdmltest.u-ga.fr/item/11292/