scholarly journals Obstructed and channelized viscoplastic flow in a Hele-Shaw cell

2016 ◽  
Vol 790 ◽  
pp. 173-204 ◽  
Author(s):  
D. R. Hewitt ◽  
M. Daneshi ◽  
N. J. Balmforth ◽  
D. M. Martinez
Keyword(s):  
Yield Stress ◽  
Theoretical Study ◽  
Viscoplastic Fluid ◽  
Viscoplastic Flow ◽  
Constructive Interference ◽  
Periodic Arrays ◽  
Large Yield ◽  
A Cell ◽  
Flow Through ◽  
Hele Shaw Cell

A theoretical study is presented of the flow of viscoplastic fluid through a Hele-Shaw cell that contains various kinds of obstructions. Circular and elliptical blockages of the cell are considered together with stepwise contractions or expansions in slot width, all within the simplifying approximation of a narrow gap. Specific attention is paid to the flow patterns that develop around the obstacles, particularly any stagnant plugged regions, and the asymptotic limits of relatively small or large yield stress. Periodic arrays of circular contractions or expansions are studied to explore the interference between obstructions. Finally, viscoplastic flow through a cell with randomly roughened walls is examined, and it is shown that constructive interference of local contractions and expansions leads to a pronounced channelization of the flow. An optimization algorithm based on minimization of the pressure drop is derived to construct the path of the channels in the limit of relatively large yield stress or, equivalently, relatively slow flow.

scholarly journals Behavior of viscoplastic rocks near fractures: mathematical modelling

2019 ◽  
Vol 489 (4) ◽  
pp. 362-367
Author(s):  
V. V. Shelukhin ◽  
A. E. Kontorovich
Keyword(s):  
Porous Medium ◽  
Pressure Gradient ◽  
Yield Stress ◽  
Bingham Fluid ◽  
Channel Width ◽  
Viscoplastic Fluid ◽  
Second Phase ◽  
Two Phase ◽  
Start Up ◽  
Flow Through

Starting from conservation laws and basic thermodynamic principles, we derive equations for a two-phase granular fluid. The first phase is the granular viscoplastic Bingham fluid and the second phase is the viscous Newtonian fluid. We perform an asymptotic analysis of the equations for the flows in the Hele-Show cell when the channel width is well much below its length. While calculating the fluid fluxes-pressure gradient relationship, we derive laws of flow of the two-phase granular viscoplastic fluid through porous media. A criterium is formulated for the start up of the granular phase flow through a porous medium. Given a yield stress, we prove that such a phase does not flow if either or both pressure gradient and channel width are small. We calculated phase flows varying phase viscosities, phase resistivities and yield stress. We reveal reasons which slow down particle intrusion into a porous medium.

scholarly journals Use of Concentric Hele-Shaw Cell for the Study of Displacement Flow and Interface Tracking in Primary Cementing

Energies ◽  
2020 ◽  
Vol 14 (1) ◽  
pp. 51
Author(s):  
Amir Taheri ◽  
Jan David Ytrehus ◽  
Bjørnar Lund ◽  
Malin Torsæter
Keyword(s):  
Yield Stress ◽  
Drilling Fluid ◽  
Co2 Storage ◽  
Main Idea ◽  
Real Field ◽  
Interface Tracking ◽  
Pressure Gradients ◽  
Cell Geometry ◽  
Primary Cementing ◽  
Hele Shaw Cell

We present our new designed concentric Hele-Shaw cell geometry with dynamic similarity to a real field wellbore annulus during primary cementing, and then, the results of displacement flow of Newtonian and yield-stress non-Newtonian fluids in it are described. The displacement stability and efficiency, the effect of back, front, and side boundaries on displacement, bypassing pockets of displaced yield-stress fluid in displacing fluid, and the behavior of pressure gradients in the cell are investigated. Applications of intermediate buoyant particles with different sizes and densities intermediate between those of successively pumped fluids for tracking the interface between the two displaced and displacing fluids are examined. The main idea is to upgrade this concentric Hele-Shaw cell geometry later to an eccentric one and check the possibility of tracking the interface between successive fluids pumped in the cell. Successful results help us track the interface between drilling fluid and spacer/cement during primary cementing in wells penetrating a CO2 storage reservoir and decreasing the risk of CO2 leakage from them.

scholarly journals Mathematical study on two-fluid model for flow of K–L fluid in a stenosed artery with porous wall

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
R. Ponalagusamy ◽  
Ramakrishna Manchi
Keyword(s):  
Theoretical Study ◽  
Fluid Model ◽  
Porous Wall ◽  
Governing Equations ◽  
Rate Of Increase ◽  
Special Cases ◽  
Stenosed Artery ◽  
Flow Through ◽  
Two Fluid Model ◽  
Two Fluid

AbstractThe present communication presents a theoretical study of blood flow through a stenotic artery with a porous wall comprising Brinkman and Darcy layers. The governing equations describing the flow subjected to the boundary conditions have been solved analytically under the low Reynolds number and mild stenosis assumptions. Some special cases of the problem are also presented mathematically. The significant effects of the rheology of blood and porous wall of the artery on physiological flow quantities have been investigated. The results reveal that the wall shear stress at the stenotic throat increases dramatically for the thinner porous wall (i.e. smaller values of the Brinkman and Darcy regions) and the rate of increase is found to be 18.46% while it decreases for the thicker porous wall (i.e. higher values of the Brinkman and Darcy regions) and the rate of decrease is found to be 10.21%. Further, the streamline pattern in the stenotic region has been plotted and discussed.

Absence of glucokinase in Methanomonas sp. as a cause for their inability to grow on glucose

1972 ◽  
Vol 18 (12) ◽  
pp. 1907-1913 ◽  
Author(s):  
Kei Amemiya
Keyword(s):  
Phosphate Esters ◽  
Resting Cells ◽  
Obligate Methylotroph ◽  
Enzymatic Assays ◽  
Autotrophic Bacteria ◽  
Toxic Product ◽  
A Cell ◽  
Flow Through ◽  
Glucose 6 Phosphate Dehydrogenase ◽  
Autotrophic Bacterium

Many obligate autotrophic bacteria can be grown on glucose using a dialysis flow-through system. Methanomonas methanooxidans, an obligate methylotroph, exhibits many of the properties of an obligate autotrophic bacterium but we have been unable to grow it on glucose using dialysis. In the obligate autotrophic bacteria, the dialysis procedure seems to be removing a toxic product of glucose metabolism but this does not seem to be the case with the methylotroph. Enzymatic assays on a cell-free extract from methane-grown or methane plus glucose-grown cells showed only phosphoglucoisomerase activity, while glucokinase and glucose-6-phosphate dehydrogenase activity were not detected. Studies with resting cells showed that glucose was not oxidized, although the phosphate esters of glucose, fructose, ribose, and gluconate were oxidized. CO2 fixation occurred only in the presence of glucose-6-phosphate. The rate of oxygen consumed and CO2 fixed on glucose-6-phosphate were almost identical with that when methanol was used as the substrate. When the phosphate esters of glucose, fructose, and ribose were used as the sole energy source, only glucose-6-phosphate supported growth to any extent; in fact, the amount of growth was essentially the same as that obtained with methanol. The results from this study suggest that the inability of this organism to grow on glucose may be due to the absence of adequate glucokinase.

The effect of body acceleration on the dispersion of solute in a non-Newtonian blood flow through an artery

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Nur Husnina Saadun ◽  
Nurul Aini Jaafar ◽  
Md Faisal Md Basir ◽  
Ali Anqi ◽  
Mohammad Reza Safaei
Keyword(s):  
Blood Flow ◽  
Boundary Conditions ◽  
Yield Stress ◽  
Solute Concentration ◽  
Casson Fluid ◽  
Blood Velocity ◽  
Content Type ◽  
Body Acceleration ◽  
Lead Angle ◽  
Flow Through

Purpose The purpose of this study is to solve convective diffusion equation analytically by considering appropriate boundary conditions and using the Taylor-Aris method to determine the solute concentration, the effective and relative axial diffusivities. Design/methodology/approach >An analysis has been conducted on how body acceleration affects the dispersion of a solute in blood flow, which is known as a Bingham fluid, within an artery. To solve the system of differential equations analytically while validating the target boundary conditions, the blood velocity is obtained. Findings The blood velocity is impacted by the presence of body acceleration, as well as the yield stress associated with Casson fluid and as such, the process of dispersing the solute is distracted. It graphically illustrates how the blood velocity and the process of solute dispersion are affected by various factors, including the amplitude and lead angle of body acceleration, the yield stress, the gradient of pressure and the Peclet number. Originality/value It is witnessed that the blood velocity, the solute concentration and also the effective and relative axial diffusivities experience a drop when either of the amplitude, lead angle or the yield stress rises.

Plastic Flow in Confined Porous Media of Complex Contours

1999 ◽  
Author(s):  
Mario F. Letelier ◽  
César E. Rosas
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Fluid Flow ◽  
Theoretical Study ◽  
Perturbation Parameter ◽  
Resistance Coefficient ◽  
Boundary Perturbation ◽  
Bingham Plastic ◽  
Flow Through ◽  
Central Plug

Abstract A theoretical study of the fully developed fluid flow through a confined porous medium is presented. The fluid is described by the Bingham plastic model for small values of the yield number. The analysis allows for many admissible shapes of the wall contour. The velocity field is computed for several combination of relevant parameters, i.e., the yield number, Darcy resistance coefficient and the boundary perturbation parameter. The wall effect is especially highlighted and the characteristics of the central plug region as well. Plots of isovel curves and velocity profiles are included for a variety of flow and geometry parameters.

scholarly journals Theoretical Study of the Reverse Roll Coating of Non-Isothermal Magnetohydrodynamics Viscoplastic Fluid

Coatings ◽  
2020 ◽  
Vol 10 (10) ◽  
pp. 940
Author(s):  
Fateh Ali ◽  
Yanren Hou ◽  
Muhammad Zahid ◽  
Muhammad Afzal Rana
Keyword(s):  
Theoretical Study ◽  
Equations Of Motion ◽  
Trapezoidal Rule ◽  
Viscoplastic Fluid ◽  
Lubrication Approximation ◽  
Roll Coating ◽  
Pressure Distributions ◽  
Temperature Distributions ◽  
False Position ◽  
The Web

This article describes the development of a mathematical model of the reverse roll coating of a thin film for an incompressible non-isothermal magnetohydrodynamics (MHD) viscoplastic fluid as it passes through a small gap between two rolls rotating reversely. The equations of motion required for the fluid added to the web are constructed and simplified using the lubrication approximation theory (LAT). Analytical results are obtained for the velocity profile, pressure gradient, and temperature distribution. The pressure distributions and flow rate are calculated numerically using the trapezoidal rule and regular false position method, respectively. Some of these results are presented graphically, while others are shown in a tabular form. From the present analysis, it has been observed that the magnitude of pressure distributions increases by increasing the value of the involved parameters. It is worth mentioning that the velocities ratio and Brickman’s number are controlling parameters for the temperature distributions. The results indicate the strong effectiveness of the viscoplastic parameter and velocities ratio for the velocity and pressure distributions. It is also concluded that the coating of Casson material has been remarkably affected by the magnetohydrodynamics effects.

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