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Related Concept Videos

Hydrostatic Pressure Force on a Curved Surface01:04

Hydrostatic Pressure Force on a Curved Surface

Hydrostatic pressure on curved surfaces is a fundamental concept in fluid mechanics with broad applications in the civil engineering field. When fluid is in contact with a curved surface, as in a reservoir, dam, or storage tank, it exerts pressure that varies in magnitude and direction along the curved surface. To assess the total hydrostatic force exerted by the fluid on a curved structure, engineers typically isolate the fluid volume adjacent to the surface and analyze the forces acting on...
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Fluid Pressure over Curved Plate of Constant Width

When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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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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Virtual work is a powerful method used to solve problems involving several connected rigid bodies. When the system is in equilibrium, virtual work is zero. This allows the calculation of the resulting forces when a system undergoes a virtual displacement. When attempting to analyze such a system, first, use a free-body diagram, where an independent coordinate represents the configuration of the links, and mark its deflected position resulting from the positive virtual displacement.
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Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the streamlines...
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Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
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Curvilinear Immersed Boundary Method for Simulating Fluid Structure Interaction with Complex 3D Rigid Bodies.

Iman Borazjani1, Liang Ge, Fotis Sotiropoulos

  • 1St. Anthony Falls Laboratory, University of Minnesota, 2 Third Avenue SE, Minneapolis, MN 55414.

Journal of Computational Physics
|October 29, 2010
PubMed
Summary

This study extends a computational fluid dynamics method to simulate fluid-structure interaction (FSI) for complex 3D rigid bodies. It identifies key factors influencing FSI algorithm stability and proposes solutions for unstable conditions.

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Area of Science:

  • Computational Fluid Dynamics (CFD)
  • Fluid-Structure Interaction (FSI)
  • Numerical Methods

Background:

  • The CURVIB approach simulates 3D unsteady incompressible Navier-Stokes equations in curvilinear domains.
  • Existing methods face challenges with complex 3D rigid bodies and large structural displacements in FSI.

Purpose of the Study:

  • To extend the CURVIB approach for simulating fluid-structure interaction (FSI) problems.
  • To investigate the stability and convergence of FSI algorithms for complex 3D rigid bodies.
  • To develop strategies for resolving stability issues in FSI simulations.

Main Methods:

  • Partitioned FSI solver with loose and strong coupling strategies.
  • Lagrangian grid and explicit front-tracking for fluid-body interfaces.
  • Efficient ray-tracing algorithm for grid-body relationship identification.
  • Numerical experiments on vortex-induced vibration and bileaflet mechanical heart valves.

Main Results:

  • Excellent agreement with benchmark simulations and experimental measurements for tested FSI problems.
  • Identified structural properties (mass, geometry) and flow conditions as critical for FSI algorithm stability.
  • Demonstrated that under-relaxation combined with Aitken's acceleration effectively resolves stability issues in challenging cases.

Conclusions:

  • The ratio of added mass to structural mass and the rate of change of fluid forces significantly impact FSI algorithm stability.
  • Under-relaxation plays a crucial stabilizing role, with a derived upper bound for the coefficient.
  • The extended CURVIB approach provides a robust framework for complex 3D FSI simulations.