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The Slippage Correction in the Equation of Plastic Flow

 

作者: R. V. Williamson,  

 

期刊: Journal of Rheology  (AIP Available online 1930)
卷期: Volume 1, issue 3  

页码: 283-289

 

ISSN:0148-6055

 

年代: 1930

 

DOI:10.1122/1.2116318

 

出版商: The Society of Rheology

 

数据来源: AIP

 

摘要:

The term “slippage” was introduced by Bingham and Green to account for the flow of plastic or pseudoplastic materials when the shearing stress falls below the yield value as defined by them. The idea of slippage was given mathematical expression by Buckingham in his equation for plastic flow in capillary tubes as shown in Equation 1S = μ (F − 4/3f + f43F3) + ceFr(1) whereS= rate of shear,4π Vtr3;F= shearing stress,Prg2l;f= yield value; μ = mobility;c= slippage constant;e= thickness of liquid layer causing slippage. This equation has been recognized by a considerable following as representing the facts of flow in capillary tubes for all materials which do not give straight‐line flow‐pressure curves. But very few workers have made any attempt to test the equation over a wide range of conditions.

 

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