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Related Concept Videos

Eulerian and Lagrangian Flow Descriptions01:22

Eulerian and Lagrangian Flow Descriptions

Fluid flow analysis is critical in many scientific and engineering disciplines, and two principal approaches are used to describe this flow: the Eulerian and Lagrangian methods. These methods offer different perspectives on monitoring and analyzing the motion of fluids, each with distinct advantages depending on the scenario.
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Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
Uniform Depth Channel Flow01:27

Uniform Depth Channel Flow

Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
Steady Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

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.
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Rapidly Varying Flow01:24

Rapidly Varying Flow

Rapidly varying flow (RVF) in open channels is characterized by abrupt changes in flow depth over a short distance, with the rate of depth change relative to distance often approaching unity. These flows are inherently complex due to their transient and multi-dimensional nature, making exact analysis difficult. However, approximate solutions using simplified models provide valuable insights into their behavior.Key Features of Rapidly Varying FlowRVF is commonly observed in scenarios involving...
Streamlines, Streaklines, and Pathlines01:18

Streamlines, Streaklines, and Pathlines

A streamline represents the trajectory that is always tangent to the fluid's velocity vector at any given point. The velocity of a fluid particle is always directed along the streamline, ensuring the particle continuously follows the streamline's path. Streamlines are particularly useful for visualizing the overall direction of flow in a fluid system, and they provide an instantaneous representation of the flow's velocity field. In steady flow, where conditions do not change over time,...

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In vitro Assessment of Aortic Regurgitation Using Four-Dimensional Flow Magnetic Resonance Imaging
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In vitro Assessment of Aortic Regurgitation Using Four-Dimensional Flow Magnetic Resonance Imaging

Published on: February 25, 2022

A flow quantification method using fluid dynamics regularization and MR tagging.

Yuttapong Jiraraksopakun1, Mary P McDougall, Steven M Wright

  • 1Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX 77843, USA. yuttapong@tamu.edu

IEEE Transactions on Bio-Medical Engineering
|February 23, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a novel method for Magnetic Resonance Imaging (MRI) flow quantification, integrating fluid dynamics for enhanced accuracy. The new approach yields more realistic and precise flow measurements compared to traditional techniques.

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Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Fluid Dynamics

Background:

  • Accurate blood flow quantification is crucial for diagnosing cardiovascular diseases.
  • Conventional Magnetic Resonance Imaging (MRI) methods for flow quantification have limitations in accuracy and realism.

Purpose of the Study:

  • To develop and validate a new MRI-based method for improved flow analysis and quantification.
  • To leverage principles of fluid dynamics to enhance the regularization of flow quantification from tagged MR images.

Main Methods:

  • Formulating flow quantification as a minimization problem incorporating the Navier-Stokes equation, continuity equation, and boundary conditions.
  • Utilizing a data consistency constraint within the minimization framework.
  • Employing a genetic algorithm for the optimization process.
  • Validating the method using computational fluid dynamics simulations and MR flow experiments.

Main Results:

  • The novel method demonstrated more realistic and accurate flow quantifications when compared to conventional techniques.
  • Evaluation against computational fluid dynamics (CFD) software showed superior performance of the new method.
  • Successful application in both simulated and experimental MR flow data.

Conclusions:

  • The integration of fluid dynamics principles significantly improves MRI flow quantification.
  • This new method offers a more robust and precise tool for cardiovascular flow assessment.
  • The findings suggest potential for broader clinical application in diagnosing and monitoring cardiovascular conditions.