TY - JOUR
T1 - Peristaltic flow of a second-order fluid in tubes
AU - Siddiqui, A. M.
AU - Schwarz, W. H.
N1 - Funding Information:
Dr. Siddiqui gratefully acknowledgest he support of the PennsylvaniaS tate UniversityR .D.G. for CommonwealthC ampusesD. r. Schwarzw ishest o thank the National ScienceF oundation for partial support under grant EET-8722316.
PY - 1994/7
Y1 - 1994/7
N2 - We have analyzed the mechanics of peristaltic pumping of a non-Newtonian fluid through an axisymmetric conduit. The material was represented by the constitutive equation for a second-order fluid. A perturbation series (to second order) in dimensionless wavenumber of an infinite harmonic traveling wave was used to obtain explicit forms for the velocity field and a relation between the flow rate and the pressure gradient, in terms of the Reynolds number, the dimensionless non-Newtonian parameters, and the occlusion. Results were compared with other studies, in both Newtonian and non-Newtonian cases. Also, we have shown that the flow of a Newtonian fluid through a rigid, axisymmetric tube with an axial, sinusoidal variation of radius is a special case of this analysis.
AB - We have analyzed the mechanics of peristaltic pumping of a non-Newtonian fluid through an axisymmetric conduit. The material was represented by the constitutive equation for a second-order fluid. A perturbation series (to second order) in dimensionless wavenumber of an infinite harmonic traveling wave was used to obtain explicit forms for the velocity field and a relation between the flow rate and the pressure gradient, in terms of the Reynolds number, the dimensionless non-Newtonian parameters, and the occlusion. Results were compared with other studies, in both Newtonian and non-Newtonian cases. Also, we have shown that the flow of a Newtonian fluid through a rigid, axisymmetric tube with an axial, sinusoidal variation of radius is a special case of this analysis.
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U2 - 10.1016/0377-0257(94)85052-6
DO - 10.1016/0377-0257(94)85052-6
M3 - Article
AN - SCOPUS:0028468703
SN - 0377-0257
VL - 53
SP - 257
EP - 284
JO - Journal of Non-Newtonian Fluid Mechanics
JF - Journal of Non-Newtonian Fluid Mechanics
IS - C
ER -