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Interstitial Fluid Effects in Hopper Flows of Granular Material

Zeininger, G. and Brennen, C. E. (1985) Interstitial Fluid Effects in Hopper Flows of Granular Material. In: Cavitation and Multiphase Flow Forum--1985 : presented at the Joint ASCE/ASME Mechanics Conference, Albuquerque, New Mexico, June 24-26, 1985. Fluids Engineering Division. Vol.FED-23. No.23. American Society of Mechanical Engineers , New York, pp. 132-136.

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In recent years a number of theoretical, experimental and computational research programs (Refs. [5], [8] and [3] for example) have substantially increased our fundamental understanding of the mechanics of flowing granular material. However most of these studies have concentrated on the simplest type of flow namely that of uniform size particles in the absence of any interstitial fluid effects or other complicating factors. The purpose of the present paper is to investigate the effects of interstitial fluid. In his classic study of granular flows Bagnold (1954) observed from his Couette flow studies that viscous effects of the interstitial fluid became significant when a number (which is now termed the Bagnold number, Ba) defined as [equation] becomes less than about 450. Here [delta] is the velocity gradient or shear rate. (We have chosen to omit from the definition of Ba a volume fraction parameter which is usually of order unity and is therefore not important qualitively). In the Couette flow experiments the appropriate shear rate, [delta], is clearly defined; in other flows (such as the very practical flow in a hopper) the corresponding condition (or shear rate) in not known. The purpose here is to investigate the effects of the interstitial fluid in the primarily extensional flows which occur in the flow of a granular material in a hopper.

Item Type:Book Section
Additional Information:This research was supported in part by a grant from the National Science Foundation (Grant #MEA-8400322) and in part by funds from IBM Tucson for the support of summer undergraduate research by one of the authors (G.Z). The authors are very grateful for this aid and for the encouragement and advice of Professor R. H. Sabersky and Scott Patton.
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Series Name:Fluids Engineering Division
Issue or Number:23
Record Number:CaltechAUTHORS:ZEIasmecmff85
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:232
Deposited By: Christopher Brennen
Deposited On:15 Dec 2004
Last Modified:02 Oct 2019 22:31

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