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Nonideal Two-Component Liquid Solutions01:29

Nonideal Two-Component Liquid Solutions

Nonideal liquid solutions, also known as real solutions, do not strictly follow Raoult's law. Raoult's law is a rule of thumb in physical chemistry. However, not all mixtures adhere to this law due to varying molecular interactions. For example, in an acetone/chloroform solution, the individual vapor pressures of the components are lower than expected, resulting in a total vapor pressure below that predicted by Raoult's law, causing a negative deviation.On the other hand, in an ethanol/water...
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Ideal Solutions02:24

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Plane Potential Flows01:23

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Steady, Laminar Flow Between Parallel Plates01:17

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Related Experiment Video

Updated: May 8, 2026

Capturing Flow-weighted Water and Suspended Particulates from Agricultural Canals During Drainage Events
06:26

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Published on: November 7, 2017

Max-IDEAL: a max-flow based approach for IDEAL water/fat separation.

Abraam S Soliman1, Jing Yuan, Karl K Vigen

  • 1Biomedical Engineering, Western University, London, Canada; Robarts Research Institute, Western University, London, Canada.

Magnetic Resonance in Medicine
|September 6, 2013
PubMed
Summary

This study introduces a novel water/fat separation technique using a smoothness constraint, significantly reducing errors in medical imaging. The method enhances accuracy for body fat visualization in cardiac and abdominal scans.

Keywords:
Dixon imagingIDEALcontinuous max-flowfield mapwater/fat separation

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Fat-Water Phantoms for Magnetic Resonance Imaging Validation: A Flexible and Scalable Protocol
07:59

Fat-Water Phantoms for Magnetic Resonance Imaging Validation: A Flexible and Scalable Protocol

Published on: September 7, 2018

Area of Science:

  • Medical Imaging
  • Biomedical Engineering
  • Radiology

Background:

  • Chemical-shift based water/fat separation is crucial for noninvasive body fat visualization.
  • B0 magnetic field inhomogeneities can compromise the accuracy of water/fat separation.
  • Existing methods may struggle with significant B0 variations and T2* decay.

Purpose of the Study:

  • To develop a novel water/fat separation method incorporating a unique smoothness constraint.
  • To improve the robustness and accuracy of water/fat separation in the presence of B0 inhomogeneities.
  • To address the challenge of water/fat swaps in medical imaging.

Main Methods:

  • A convex-relaxed labeling model was used to map B0 variations, considering T2* decay.
  • Fat and water components were resolved using T2*-IDEAL.
  • Adaptive spatial filtering (ASF) was introduced to enhance estimation robustness.

Main Results:

  • The novel approach demonstrated high accuracy in water/fat separation across cardiac and abdominal datasets.
  • Only 1 out of 168 images showed water/fat swaps, indicating significant improvement.
  • The method proved effective in healthy volunteers and patients with nonalcoholic fatty liver disease (NAFLD).

Conclusions:

  • The proposed water/fat separation method effectively prevents water/fat swaps using a smoothness constraint.
  • Incorporating T2* effects and ASF processing enhances robustness against B0 variations.
  • This technique offers a more reliable tool for visualizing body fat in clinical settings.