Journal ArticleDOI
On the flow of Newtonian and non-Newtonian liquids through corrugated pipes
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In this article, the authors considered the flow of Newtonian and non-Newtonian liquids through a "corrugated" pipe of circular cross section whose radius sinusoidally along its longitudinal axis.Abstract:
Consideration is given to the flow of Newtonian and non-Newtonian liquids through a “corrugated” pipe of circular cross section whose radius sinusoidally along its longitudinal axis. The flow is produced by a constant pressure gradient. The theory predicts that in the Newtonian case, the corrugated wall of the pipe causes a reduction in flow rate when compared with the value expected on the basis of a straight pipe of the same mean radius. This prediction is confirmed by experiment. In the case of elastico-viscous liquids, the theoretical analysis for a certain fluid model indicates that the reduction in flow rate may be amplified or reduced by the non-Newtonian properties of the liquid depending on the precise flow conditions. The qualitative predictions are again confirmed by experiment. The possible practical implications of the work are outlined.read more
Citations
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Calculations of steady-state viscoelastic flow in an undulating tube
TL;DR: In this article, a mixed pseudospectral/finite difference method (PSFD) is developed for the upper convected Maxwell fluid, employing the coordinate system provided by the streamlines and the lines orthogonal to them.
Journal ArticleDOI
Flow through tubes with sinusoidal axial variations in diameter
J. A. Deiber,W. R. Schowalter +1 more
TL;DR: An iteration technique has been developed to solve the equations of motion for flow of an incompressible Newtonian fluid through circular tube with a radius which varies sinusoidally in the axial direction as mentioned in this paper.
Journal ArticleDOI
Hyperbolicity and change of type in the flow of viscoelastic fluids through channels
Jung Yul Yoo,Daniel D. Joseph +1 more
TL;DR: In this paper, the steady flow of an upper convected Maxwell fluid through a pipe with wavy walls was considered, and it was shown that the vorticity at the center of the pipe becomes hyperbolic when the centerline velocity is larger than the speed of shear waves into rest.
Journal ArticleDOI
Flow of an oldroyd-type fluid through a sinusoidally corrugated tube
TL;DR: In this paper, the authors report some experimental data on the flow of an Oldroyd-type fluid through a sinusoidally corrugated tube and describe a numerical method which is based on a Boundary Element method to solve the problem.
Journal ArticleDOI
Experimental study of pulsatile and steady flow through a smooth tube and an atherosclerotic coronary artery casting of man
TL;DR: In vitro investigation of pulsatile and steady flows through a smooth, straight circular tube and a diseased human coronary artery cast was conducted with sugar-water solutions simulating the viscosity of blood, finding pressure drops for steady flows were greater than Poiseuille flow predictions.
References
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Journal ArticleDOI
On the Formulation of Rheological Equations of State
TL;DR: The invariant forms of rheological equations of state for a homogeneous continuum, suitable for application to all conditions of motion and stress, are discussed in this article, where the right invariance properties can most readily be recognized if the frame of reference is a co-ordinate system convected with the material.
Journal ArticleDOI
Elastico-viscous boundary-layer flows I. Two-dimensional flow near a stagnation point
D. W. Beard,K. Walters +1 more
TL;DR: In this article, the authors extended the boundary-layer theory for an idealized elastico-viscous liquid and showed that the main effect of elasticity is to increase the velocity in the boundary layer and increase the stress on the solid boundary.
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On pulsatile flow of non-Newtonian liquids
TL;DR: In this article, the authors consider the behavior of non-Newtonian liquids as they are made to flow through straight pipes of circular cross section under the action of a pressure-gradient which oscillates sinusoidally about a non-zero mean.
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On the flow of viscous and elastico-viscous liquids through straight and curved pipes
Howard A. Barnes,Kenneth Walters +1 more
TL;DR: In this paper, an experimental study is described which seeks to assess the effect of elasticity on the flow of elastico-viscous liquids as they are made to flow through curved pipes under a pressure gradient.
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Rheometrical flow systems Part 1. Flow between concentric spheres rotating about different axes
TL;DR: In this article, the authors considered the flow of an elastico-viscous liquid contained between two concentric spheres which are rotating with the same angular velocity about axes passing through the centre of the spheres.