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Typical Model Studies01:30

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Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
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Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
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Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
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In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
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When a beam is subjected to different loads, such as weight, pressure, or other external forces, internal forces are generated within the beam. These forces can have a significant impact on the overall stability and strength of the structure. Engineers use various methods to analyze and determine the magnitude and direction of these internal forces. One common technique used to determine internal forces in beams is the method of sections. This method involves considering an imaginary point or...
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Shearing Stress01:19

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Shearing stress, denoted by the Greek letter tau (τ), is stress caused by forces acting transversely on an object. These forces create internal ones within the entity in the plane where the external forces are applied. The resultant of these internal forces is the shear in the section.
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Mathematical models for shear-induced blood damage based on vortex platform.

Xu Mei1, Min Zhong1, Wanning Ge1

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The International Journal of Artificial Organs
|March 20, 2021
PubMed
Summary

This study quantifies blood damage from Ventricular Assist Device (VAD) shear stress and exposure time. Findings reveal exposure time significantly impacts red blood cells and von Willebrand Factor (vWF) damage more than shear stress.

Keywords:
Hemolysisexposure timepower law modelshear stressvWF

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Area of Science:

  • Biomedical Engineering
  • Hemodynamics
  • Materials Science

Background:

  • Non-physiological shear stress in Ventricular Assist Devices (VADs) is a primary cause of blood damage, limiting clinical use.
  • Previous research on blood damage has been largely qualitative, lacking quantitative analysis of shear stress and exposure time effects.

Purpose of the Study:

  • To quantitatively investigate the influence of shear stress (rotational speed) and exposure time on shear-induced damage to red blood cells and von Willebrand Factor (vWF).
  • To develop predictive models for blood damage in medical devices, particularly VADs.

Main Methods:

  • Construction of a vortex blood-shearing platform for in vitro experiments.
  • Analysis of free hemoglobin and vWF molecular weight in sheared blood samples.
  • Utilizing MATLAB for regression fitting to establish quantitative correlations using a power law model.

Main Results:

  • Quantitative power law correlations were established between hemolysis index, vWF degradation, shear stress, and exposure time.
  • Blood damage sensitivity to exposure time was greater than to shear stress for both red blood cells and vWF.
  • vWF damage was more severe than red blood cell damage under identical flow conditions.

Conclusions:

  • Developed mathematical models can predict blood damage in blood-contacting medical devices, aiding VAD development and improvement, especially in low-flow regions.
  • The vortex platform provides a simple and effective method for studying blood damage mechanisms.