Stopping times in cessation flows of Bingham plastics with slip at the wall
Date
2012ISBN
978-0-7354-1091-6Source
AIP Conference ProceedingsInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012
Volume
1479Pages
1422-1425Google Scholar check
Keyword(s):
Metadata
Show full item recordAbstract
We solve numerically the cessation of axisymmetric Poiseuille flow of a Bingham plastic assuming that slip occurs along the wall. A power-law expression is used to relate the wall shear stress to the slip velocity. The numerical results show that the velocity becomes and remains uniform before complete cessation and that the stopping time is finite only when the exponent s1, the decay is much slower, i.e. polynomial. The asymptotic expressions for the volumetric flow rate in the case of full-slip are also derived. © 2012 American Institute of Physics.