Math @ Duke

Publications [#16786] of John V. Matthews
Papers Accepted
 P.A. Gremaud, J.V. Matthews, D.G. Schaeffer, Secondary Circulation in Granular Flow through Nonaxisymmetric Hoppers,
SIAM J. Appl. Math.
(To Appear), SIAM
(last updated on 2003/12/19)
Abstract: Jenike's radial solution, widely used in the design of
materialshandling equipment, is a similarity solution of
steadystate continuum equations for the flow under gravity
of granular material through an infinite, rightcircular
cone. In this paper we study how the geometry of the hopper
influences this solution. Using perturbation theory, we
compute a firstorder correction to the (steadystate)
velocity resulting from a small change in hopper geometry,
either distortion of the cross section or tilting away from
vertical. Unlike for the Jenike solution, all three
components of the correction velocity are nonzero: i.e.,
there is secondary circulation in the perturbed flow.


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