Simulation of slurry/clean fluid boundary dispersion during placement of particulate suspension into a fracture

2018 ◽  
Vol 97 (1) ◽  
pp. 372-383 ◽  
Author(s):  
Md. Omar Reza ◽  
Petr Nikrityuk ◽  
Dmitry Eskin
Keyword(s):  
Particulate Suspension ◽  
Fluid Boundary

scholarly journals Optimal Pressure Boundary Control of Steady Multiscale Fluid-Structure Interaction Shell Model Derived from Koiter Equations

Fluids ◽  
2021 ◽  
Vol 6 (4) ◽  
pp. 149
Author(s):  
Andrea Chierici ◽  
Leonardo Chirco ◽  
Sandro Manservisi
Keyword(s):  
Optimal Control ◽  
Solid Wall ◽  
Fluid Structure Interaction ◽  
Computational Cost ◽  
Robin Boundary Condition ◽  
Design Parameters ◽  
Fluid Structure ◽  
Control Approach ◽  
Structure Interaction ◽  
Fluid Boundary

Fluid-structure interaction (FSI) problems are of great interest, due to their applicability in science and engineering. However, the coupling between large fluid domains and small moving solid walls presents numerous numerical difficulties and, in some configurations, where the thickness of the solid wall can be neglected, one can consider membrane models, which are derived from the Koiter shell equations with a reduction of the computational cost of the algorithm. With this assumption, the FSI simulation is reduced to the fluid equations on a moving mesh together with a Robin boundary condition that is imposed on the moving solid surface. In this manuscript, we are interested in the study of inverse FSI problems that aim to achieve an objective by changing some design parameters, such as forces, boundary conditions, or geometrical domain shapes. We study the inverse FSI membrane model by using an optimal control approach that is based on Lagrange multipliers and adjoint variables. In particular, we propose a pressure boundary optimal control with the purpose to control the solid deformation by changing the pressure on a fluid boundary. We report the results of some numerical tests for two-dimensional domains to demonstrate the feasibility and robustness of our method.

Spatial Distribution of Local Permeabilities in Fibrous Networks

1992 ◽  
Vol 62 (3) ◽  
pp. 151-161 ◽  
Author(s):  
Susan M. Montgomery ◽  
Bernard Miller ◽  
Ludwig Rebenfeld
Keyword(s):  
Spatial Distribution ◽  
Spatial Heterogeneity ◽  
Heterogeneous Networks ◽  
Flow Direction ◽  
Time Dependent ◽  
Dependent Development ◽  
Fabric Structure ◽  
Elliptical Flow ◽  
Fluid Boundary ◽  
Liquid Flows

The shape of a developing radial fluid boundary in the plane of a fabric is a reflection of the structure of the fabric. Homogeneous fabrics, with permeabilities independent of position, yield circular or elliptical flow fronts, depending on the existence of a universally preferred flow direction. Heterogeneous networks yield flow fronts that deviate from this elliptical shape due to spatial variations in permeability. The time-dependent development of the fluid front that occurs when liquid flows radially in the plane of a fabric may be analyzed using Darcy's law to calculate local fabric permeabilities. The resulting spatial distribution of permeabilities is representative of the spatial heterogeneity of the fabric structure. Sample permeability distributions of geotextile fabrics are discussed.

scholarly journals The Tyrian King in MT and LXX Ezekiel 28:12b–15

Religions ◽  
2021 ◽  
Vol 12 (2) ◽  
pp. 91
Author(s):  
Lydia Lee
Keyword(s):  
Late Antiquity ◽  
Historical Development ◽  
Hebrew Text ◽  
Second Temple ◽  
Critical Approach ◽  
Second Temple Period ◽  
Biblical Literature ◽  
Israelite Religion ◽  
Masoretic Text ◽  
Fluid Boundary

The biblical prophecy in Ezekiel 28:11–19 records a dirge against the king from Tyre. While the Hebrew Masoretic Text (MT) identifies the monarch as a cherub, the Greek Septuagint (LXX) distinguishes the royal from the cherub. Scholarly debates arise as to which edition represents the more original version of the prophecy. This article aims to contribute to the debates by adopting a text-critical approach to the two variant literary editions of the dirge, comparing and analyzing their differences, while incorporating insights gleaned from the extra-biblical literature originating from the ancient Near East, Second Temple Period, and Late Antiquity. The study reaches the conclusion that the current MT, with its presentation of a fluid boundary between the mortal and divine, likely builds on a more ancient interpretation of the Tyrian king. On the other hand, while the Hebrew Vorlage of LXX Ezekiel 28:12b–15 resembles the Hebrew text of the MT, the Greek translator modifies the text via literary allusions and syntactical rearrangement, so that the final result represents a later reception that suppresses any hints at the divinity of the Tyrian ruler. The result will contribute to our understanding of the historical development of the ancient Israelite religion.

Magnetohydrodynamics of a particulate suspension

1996 ◽  
Vol 12 (2) ◽  
pp. 438-440
Author(s):  
Ali J. Chamkha
Keyword(s):  
Particulate Suspension

Mode coalescence in a two-fluid boundary-layer stability problem

2000 ◽  
Vol 12 (8) ◽  
pp. 1969-1978 ◽  
Author(s):  
S. N. Timoshin ◽  
A. P. Hooper
Keyword(s):  
Boundary Layer ◽  
Stability Problem ◽  
Boundary Layer Stability ◽  
Fluid Boundary ◽  
Two Fluid

The Icebreaking Problem in Two Dimensions: Experiments and Theory

1992 ◽  
Vol 36 (04) ◽  
pp. 299-316
Author(s):  
Petri Valanto
Keyword(s):  
Transient Response ◽  
Ice Sheet ◽  
Two Dimensions ◽  
Flexural Failure ◽  
Theoretical Assumptions ◽  
Broken Ice ◽  
Fluid Boundary ◽  
Level Ice ◽  
Physical Phenomena ◽  
Made In

Model experiments on the transient response of a floating ice sheet to an advancing icebreaker were carried out in two dimensions in order to provide information on the actual icebreaking phenomenon associated with ships advancing in level ice. The response consists of two parts:the dynamic bending of the ice sheet to flexural failure; andthe rotation of the broken ice slab until the slab is parallel to the bow plate of the advancing vessel. A theoretical approach to calculate the transient response of the floating ice sheet is presented. The theory is based on the assumption of potential flow with a relatively complicated boundary condition on the ice sheet-fluid surface. The numerical solution is based on an initial-value approach. The kinematic and dynamic boundary conditions on the ice sheet-fluid boundary are used to advance the solution in time. The predicted results are compared to the experimental ones to evaluate the validity of the theoretical assumptions made. In most cases close agreement between experiments and theory is demonstrated. Together with the experiments, the numerical model developed is able to clarify several physical phenomena contributing to icebreaking resistance at the waterline of a vessel advancing in level ice.

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