Instability wavelength and solution pipes distance
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2. Instability wavelength and the average distance
between the solution pipes
• The instability wavelength depends on
1. the flow rate
2. diffusion coefficient of the solute
3. reaction rate
4. the permeability contrast between the dissolved and undissolved phase
• Inversely, measuring the distance between the solution pipes will
allow us to estimate precipitation rates during their formation times.
3. • In fluid dynamics, a uniform flow is a type of flow where the velocity of
fluid remains constant with respect to space. On the other hand, a non-
uniform flow is a type of flow where the velocity of fluid changes with
respect to space.
• For example, in uniform flow, the fluid particles move parallel to each
other in straight lines, while in non-uniform flow, the fluid particles move
in curved paths and at different speeds.
• Would you like me to provide more information on this topic?
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20. • Preferential flow pathways are conduits that allow water to flow with
little resistance and relatively fast speeds in the subsurface areas of
groundwater.
• They are considered to be among the most important sources of
contaminants in drinking water supplies for many reasons, including
their ability to transport contaminants rapidly and over long distances
1. Preferential flow is the uneven movement of water and solutes
through a relatively small portion of the soil volume at relatively high
flow rates allowing these substances to reach greater depth in shorter
time than would be possible in a uniform flow situation 2. The
differences in preferential flow paths under various land uses and
their relationships to hydraulic properties remain uncertain 3
21. https://doi.org/10.1017/9781009100717
• The convection-diffusion equation is a mathematical model that describes
the transfer of particles, energy, or other physical quantities within a
physical system due to two processes: diffusion and convection 1. The
equation is a combination of the diffusion and convection (advection)
equations 1. The general form of the equation is:∂t∂c+∇⋅(vc−D∇c)=Rwhere
c is the variable of interest, such as species concentration for mass transfer
or temperature for heat transfer, D is the diffusivity (diffusion coefficient), v
is the velocity field that the quantity is moving with, and R describes
sources or sinks of the quantity c 1. The right-hand side of the equation is
the sum of three contributions. The first term describes diffusion, while the
second term describes convection (or advection) 1.The convection-
diffusion equation has many applications in various fields such as fluid
dynamics, heat transfer, mass transfer, and chemical engineering 1.
