TY - JOUR
T1 - Vanishing viscosity limits for a class of circular pipe flows
AU - Mazzucato, Anna
AU - Taylor, Michael
PY - 2010
Y1 - 2010
N2 - We consider 3D Navier-Stokes flows with no-slip boundary condition in an infinitely long pipe with circular cross section. The velocity fields we consider are independent of the variable parametrizing the axis of the pipe, and the component of the velocity normal to the axis is arranged to be circularly symmetric, though we impose no such symmetry on the component of velocity parallel to the axis. For such flows we analyze the limit as the viscosity tends to zero, including boundary layer estimates.
AB - We consider 3D Navier-Stokes flows with no-slip boundary condition in an infinitely long pipe with circular cross section. The velocity fields we consider are independent of the variable parametrizing the axis of the pipe, and the component of the velocity normal to the axis is arranged to be circularly symmetric, though we impose no such symmetry on the component of velocity parallel to the axis. For such flows we analyze the limit as the viscosity tends to zero, including boundary layer estimates.
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U2 - 10.1080/03605302.2010.505973
DO - 10.1080/03605302.2010.505973
M3 - Article
AN - SCOPUS:78650300232
SN - 0360-5302
VL - 36
SP - 328
EP - 361
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
IS - 2
ER -