Flow of a Herschel-Bulkley (H-B) fluid in tubes of non-circular cross-section in investigated analytically. This study complements results presented in  where the equation of motion was solved in tubes of arbitrary cross-section for Bingham type of fluids, and the shapes of plug zones centered on the tube axis and stagnant zones attached to the corners were predicted when the cross-section is triangular and square. In this paper we investigate the effect of the power index in the H-B model on the flow for values greater and lesser than unity, considering thus the shear-thinning and shear-thickening effects, which could not be accounted for with the Bingham model. The equation of motion is solved when the cross-section is an equilateral triangle or a square by means of the shape factor method previously introduced in . Thus, shear-thickening and shear-thinning effects are accounted for and related to the tube geometry in predicting the existence and the extent of undeformed regions in the flow field. Copyright © 2016 by ASME.
|Publication status||Published - 2016|
|Event||ASME 2016 International Mechanical Engineering Congress and Exposition - Phoenix, United States|
Duration: Nov 11 2016 → Nov 17 2016
|Conference||ASME 2016 International Mechanical Engineering Congress and Exposition|
|Abbreviated title||IMECE 2016|
|Period||11/11/16 → 11/17/16|
Letelier, M. F., Siginer, D. A., Godoy, F., & Rosas, C. (2016). Herschel-bulkley viscoplastic flow in tubes of non-circular cross-section. Paper presented at ASME 2016 International Mechanical Engineering Congress and Exposition, Phoenix, United States.