Axisymmetric squeeze flow of a viscoplastic Bingham medium

Axisymmetric squeeze flow of a Herschel–Bulkley medium

“…Smyrnaios and Tsamopoulos [9] showed that unyielded material could only exist around the two stagnation points of flow. The numerical modeling for Bingham fluid [9], [16], [23], experiments [10] and asymptotic solution [22] confirmed the results [9]. It is interesting to investigate the obtained asymptotic solution for Herschel-Bulkley fluid near the stagnation point.…”

“…The asymptotic solution was developed for a fluid flowing down an inclined plane [28] and for the flow along a channel of slowly varying width [29], [30]. Recently, Muravleva [21], [22] has analysed the planar and axisymmetric squeeze flows of a Bingham fluid and the axisymmetric squeeze flows of a Casson fluid [22] exploiting the asymptotic technique introduced in [28]- [30]. In this article, we continue our research into the squeeze flow problem [21]- [22] and consider the axisymmetric squeeze flow of a Hershel-Bulkley material, following an approach developed in [28]- [30].…”

Viscoplastic squeeze flow between two identical infinite circular cylinders

“…Numerical studies using the Bingham constitutive law have been found to be in good agreement with experimental work using Carbopol 940 gels, developing drag correlations and stability criteria (with respect to sedimentation) [4,7,9,10]. Viscoplastic squeeze flow between coaxial cylindrical disks has been studied analytically for both planar [11] and axisymmetric [12,13] configurations. The configuration of collinearly approaching bodies in a viscoplastic flow has received only cursory attention in numerical studies, eg Yu and Wachs [8], Tokpavi et al [9], with no examination of the interstitial squeeze flow.…”

Squeeze Flow of Stress Power Law Fluids

“…Other examples can be found in the context of food intake (chewing) where a material is squeezed between rigid surfaces (teeth) and where the gap between the rigid plates is smaller than the characteristic length of the squeezing surfaces. * * ℎ * ( * ) For a general review on squeeze flow between disks of both Newtonian and non-Newtonian fluids, we refer the reader to [14][15][16][17]. We formulated the problem using cylindrical coordinates and assuming azimuthal symmetry so that all the variables do not depend on the angular coordinate.…”