TY - JOUR
T1 - Axial laminar flow of viscoplastic fluids in a concentric annulus subject to wall slip
AU - Kalyon, Dilhan M.
AU - Malik, Moinuddin
PY - 2012/9
Y1 - 2012/9
N2 - The flow of non-Newtonian fluids in annular geometries is an important problem, especially for the extrusion of polymeric melts and suspensions and for oil and gas exploration. Here, an analytical solution of the equation of motion for the axial flow of an incompressible viscoplastic fluid (represented by the Hershel-Bulkley equation) in a long concentric annulus under isothermal, fully developed, and creeping conditions and subject to true or apparent wall slip is provided. The simplifications of the analytical model for Hershel-Bulkley fluid subject to wall slip also provide the analytical solutions for the axial annular flows of Bingham plastic, power-law, and Newtonian fluids with and without wall slip at one or both surfaces of the annulus.
AB - The flow of non-Newtonian fluids in annular geometries is an important problem, especially for the extrusion of polymeric melts and suspensions and for oil and gas exploration. Here, an analytical solution of the equation of motion for the axial flow of an incompressible viscoplastic fluid (represented by the Hershel-Bulkley equation) in a long concentric annulus under isothermal, fully developed, and creeping conditions and subject to true or apparent wall slip is provided. The simplifications of the analytical model for Hershel-Bulkley fluid subject to wall slip also provide the analytical solutions for the axial annular flows of Bingham plastic, power-law, and Newtonian fluids with and without wall slip at one or both surfaces of the annulus.
KW - Analytical solution
KW - Annular flow
KW - Herschel-Bulkley fluid
KW - Viscoplastic
KW - Wall slip
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U2 - 10.1007/s00397-012-0641-y
DO - 10.1007/s00397-012-0641-y
M3 - Article
AN - SCOPUS:84865749190
SN - 0035-4511
VL - 51
SP - 805
EP - 820
JO - Rheologica Acta
JF - Rheologica Acta
IS - 9
ER -