scholarly journals Temporal evolution of pore geometry, fluid flow, and solute transport resulting from colloid deposition

2009 ◽  
Vol 45 (6) ◽  
Author(s):  
Cheng Chen ◽  
Boris L. T. Lau ◽  
Jean-François Gaillard ◽  
Aaron I. Packman
Keyword(s):  
Fluid Flow ◽  
Solute Transport ◽  
Temporal Evolution ◽  
Pore Geometry ◽  
Colloid Deposition

Fluid flow and solute transport in a network of channels

1993 ◽  
Vol 14 (3-4) ◽  
pp. 163-192 ◽  
Author(s):  
Luis Moreno ◽  
Ivars Neretnieks
Keyword(s):  
Fluid Flow ◽  
Solute Transport

scholarly journals Numerical Research of Fluid Flow and Solute Transport in Rough Fractures under Different Normal Stress

Geofluids ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
Min Wang ◽  
Qifeng Guo ◽  
Pengfei Shan ◽  
Meifeng Cai ◽  
Fenhua Ren ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Shear Flow ◽  
Solute Transport ◽  
Normal Stress ◽  
Three Dimensional ◽  
Dispersive Transport ◽  
Mean Velocity ◽  
Flow Test ◽  
Hydraulic Aperture ◽  
Mechanical Aperture

The effects of roughness and normal stress on hydraulic properties of fractures are significant during the coupled shear flow test. Knowing the laws of fluid flow and solute transport in fractures is essential to ensure the nature and safety of geological projects. Although many experiments and numerical simulations of coupled shear flow test have been conducted, there is still a lack of research on using the full Navier-Stokes (N-S) equation to solve the real flow characteristics of fluid in three-dimensional rough fractures. The main purpose of this paper is to study the influence of roughness and normal stress on the fluid flow and solute transport through fractures under the constant normal stiffness boundary condition. Based on the corrected successive random addition (SRA) algorithm, fracture surfaces with different roughness expressed by the Hurst coefficient ( H ) were generated. By applying a shear displacement of 5 mm, the sheared fracture models with normal stresses of 1 MPa, 3 MPa, and 5 MPa were obtained, respectively. The hydraulic characteristics of three-dimensional fractures were analyzed by solving the full N-S equation. The particle tracking method was employed to obtain the breakthrough curves based on the calculated flow field. The numerical method was verified with experimental results. It has been found that, for the same normal stress, the smaller the fracture H value is (i.e., more tough the fracture is), the larger the mechanical aperture is. The ratio of hydraulic aperture to mechanical aperture ( e h / e m ) decreases with the increasing of normal stress. The smaller the H value, the effect of the normal stress on the ratio e h / e m is more significant. The variation of transmissivity of fractures with the flow rate exhibits similar manner with that of e h / e m . With the normal stress and H value increasing, the mean velocity of particles becomes higher and more particles move to the outlet boundary. The dispersive transport behavior becomes obvious when normal stress is larger.

Fluid Flow, Heat Transfer, and Solute Transport at Nuclear Waste Storage Tanks in the Hanford Vadose Zone

2002 ◽  
Vol 1 (1) ◽  
pp. 68-88 ◽  
Author(s):  
Karsten Pruess ◽  
Steve Yabusaki ◽  
Carl Steefel ◽  
Peter Lichtner
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Solute Transport ◽  
Nuclear Waste ◽  
Vadose Zone ◽  
Storage Tanks ◽  
Nuclear Waste Storage ◽  
Waste Storage ◽  
Flow Heat

scholarly journals Mathematical modelling of fluid flow and solute transport to define operating parameters for in vitro perfusion cell culture systems

2020 ◽  
Vol 10 (2) ◽  
pp. 20190045 ◽  
Author(s):  
Lauren Hyndman ◽  
Sean McKee ◽  
Nigel J. Mottram ◽  
Bhumika Singh ◽  
Steven D. Webb ◽  
...  
Keyword(s):  
Cell Culture ◽  
Fluid Flow ◽  
Mathematical Modelling ◽  
Solute Transport ◽  
Computational Modelling ◽  
Operating Parameters ◽  
Perfusion Cell Culture ◽  
Culture Systems ◽  
Cell Culture Systems

In recent years, there has been a move away from the use of static in vitro two-dimensional cell culture models for testing the chemical safety and efficacy of drugs. Such models are increasingly being replaced by more physiologically relevant cell culture systems featuring dynamic flow and/or three-dimensional structures of cells. While it is acknowledged that such systems provide a more realistic environment within which to test drugs, progress is being hindered by a lack of understanding of the physical and chemical environment that the cells are exposed to. Mathematical and computational modelling may be exploited in this regard to unravel the dependency of the cell response on spatio-temporal differences in chemical and mechanical cues, thereby assisting with the understanding and design of these systems. In this paper, we present a mathematical modelling framework that characterizes the fluid flow and solute transport in perfusion bioreactors featuring an inlet and an outlet. To demonstrate the utility of our model, we simulated the fluid dynamics and solute concentration profiles for a variety of different flow rates, inlet solute concentrations and cell types within a specific commercial bioreactor chamber. Our subsequent analysis has elucidated the basic relationship between inlet flow rate and cell surface flow speed, shear stress and solute concentrations, allowing us to derive simple but useful relationships that enable prediction of the behaviour of the system under a variety of experimental conditions, prior to experimentation. We describe how the model may used by experimentalists to define operating parameters for their particular perfusion cell culture systems and highlight some operating conditions that should be avoided. Finally, we critically comment on the limitations of mathematical and computational modelling in this field, and the challenges associated with the adoption of such methods.

Fluid Flow and Solute Transport though a Fracture Intersecting a Canister - Analytical Solutions for the Parallel Plate Model

2003 ◽  
Vol 807 ◽  
Author(s):  
L. Liu ◽  
I. Neretnieks
Keyword(s):  
Fluid Flow ◽  
Solute Transport ◽  
Flow Rate ◽  
Analytical Solutions ◽  
Parallel Plate ◽  
Spent Nuclear Fuel ◽  
Volumetric Flow Rate ◽  
Single Fracture ◽  
Plate Model ◽  
Specific Scenario

ABSTRACTIn this paper, we are concerned with a specific scenario where a large fracture intersects, at its center, a canister that contains spent nuclear fuel. Assuming that a nuclide is free to release from the canister into groundwater flowing through the fracture, a detailed formulation of the volumetric flow rate and the equivalent flow rate are made for the parallel plate model. The formulas proposed have been validated by numerical examinations; they are not only simple in forms but also universal in applications where the flow may be taken normal, inclined or parallel to the axis of the canister. Of great importance, they provide a convenient way to predict the average properties of fluid flow and solute transport through a single fracture with spatially variable apertures.

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