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Related Concept Videos

Design Example: Flow of Oil Through Circular Pipes01:25

Design Example: Flow of Oil Through Circular Pipes

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Understanding fluid flow behavior through pipes is critical in fluid mechanics, especially in applications like oil transportation through pipelines. Hagen-Poiseuille's law provides an exact solution derived from the Navier-Stokes equations for steady, incompressible, and laminar flow within a circular pipe. Hagen-Poiseuille's law helps determine the necessary pressure drop across a pipeline section by determining parameters like pipe length, radius, oil viscosity, and the desired volumetric...
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Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
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In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
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Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
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There are many examples of pressure in fluids in everyday life, such as in relation to blood (high or low blood pressure) and in relation to weather (high- and low-pressure weather systems). A given force can have a significantly different effect, depending on the area over which the force is exerted. For instance, a force applied to an area of 1 mm2 has a pressure that is 100 times greater than the same force applied to an area of 1 cm2. That's why a sharp needle is able to poke through...
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When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
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Related Experiment Video

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Reservoir Condition Pore-scale Imaging of Multiple Fluid Phases Using X-ray Microtomography
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Flow and mass transfer around a core-shell reservoir.

Badr Kaoui1

  • 1Biomechanics and Bioengineering Laboratory UMR 7338, CNRS, Sorbonne University, University of Technology of Compiègne, 60200 Compiègne, France.

Physical Review. E
|July 16, 2017
PubMed
Summary

Channel flow enhances solute release from core-shell reservoirs but hinders its spread to walls. This study uses lattice Boltzmann methods to analyze mass transfer dynamics.

Area of Science:

  • Computational fluid dynamics
  • Mass transfer phenomena
  • Multiphase flow systems

Background:

  • Understanding mass transfer from reservoirs is crucial for drug delivery and environmental remediation.
  • Core-shell structures are common in controlled release applications.
  • Channel flow dynamics significantly influence solute transport.

Purpose of the Study:

  • To develop and apply a novel numerical method for simulating mass transfer from core-shell reservoirs.
  • To investigate the effects of channel flow on solute release and transport.
  • To quantify mass transfer using metrics like solute concentration and Sherwood number.

Main Methods:

  • Utilized the lattice Boltzmann method (LBM) for simulating fluid flow and solute transport.

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  • Modeled a stationary core-shell reservoir within a channel flow.
  • Calculated instantaneous solute concentration and local Sherwood number at the reservoir surface.
  • Main Results:

    • Channel flow was found to accelerate the release of encapsulated solute.
    • The presence of flow significantly impacted solute concentration profiles.
    • Flow dynamics were observed to impede the diffusion of released solute towards channel walls.

    Conclusions:

    • The lattice Boltzmann method provides an effective approach for studying complex mass transfer problems.
    • Channel flow presents a dual effect: enhancing release but limiting widespread distribution.
    • Findings have implications for optimizing release strategies in various applications.