Premium
Entrance region flow of the Bingham fluid in a circular pipe
Author(s) -
Chen S. S.,
Fan L. T.,
Hwang C. L.
Publication year - 1970
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690160224
Subject(s) - bingham plastic , laminar flow , boundary layer , mechanics , herschel–bulkley fluid , newtonian fluid , generalized newtonian fluid , non newtonian fluid , shear stress , plug flow , work (physics) , flow (mathematics) , momentum (technical analysis) , fluid dynamics , boundary layer control , boundary (topology) , fluid mechanics , physics , boundary layer thickness , mathematics , thermodynamics , rheology , shear rate , mathematical analysis , finance , economics
The laminar, isothermal entrance region flow of the Bingham fluid in a circular pipe is studied at first by using the momentum integral method and the boundary‐layer equation for the Bingham fluid. In addition to the velocity boundary layer, the existence of the shear stress boundary layer is considered. The solution is valid only near the entry because of limitation of the boundary‐layer model. The Campbell‐Slattery method originally devised for the Newtonian fluid is also used to analyze the Bingham entrance region flow. The results are compared with those obtained through the use of the momentum integral method and those obtained through the use of the variational method by other investigators. While the results obtained in this work appear to be generally reasonable and valid, the results by the other investigators have been found to be somewhat erroneous.