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A Numerical Simulation of the Vortex Ring Field Incurred by A Round Jet

A Numerical Simulation of the Vortex Ring Field Incurred by A Round Jet. Rui Wang Advisor: Dr. Robin Shandas Department of Mechanical Engineering University of Colorado at Boulder. Introduction to Research, 15,Oct. p.1/7 . Introduction :.

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A Numerical Simulation of the Vortex Ring Field Incurred by A Round Jet

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  1. A Numerical Simulation of the Vortex Ring Field Incurred byA Round Jet Rui Wang Advisor: Dr. Robin Shandas Department of Mechanical Engineering University of Colorado at Boulder Introduction to Research, 15,Oct. p.1/7

  2. Introduction: • Early cardiac dysfunction detection is very important among cardiologists ; • When blood flows from the mitral valve into the ventricle, vortex rings exist ; • Flow spatial resolution affects shear conditions, stagnant regions and energy conversion in turn changing hemolysis, thrombus formation, cells damage etc; • Characterizing this time-resolved velocity field behavior will make early detection of cardiac dysfunction possible. Introduction to Research, 15,Oct. p.2/7

  3. Objectives: • Obtaining Flow Field: the comprehensive velocity profile at various time steps; • Flow visualization: the trajectory and shape of the vortex ring at different time (t<toff and t> toff ) and different location; • Vorticity and Circulation calculations including shedding rate: numerically and analytically as well; • The pressure field associated with velocity distribution: by using vorticy equation additionally; • Comparing the results with existing data like slug model andBiot-Savart Law. Introduction to Research, 15,Oct. p.3/7

  4. Approach: • Simulating ventricular filling with a suddenly starting round jet - Mitral valve annulus diameter D=2.51cm, ratio of stroke length (L) to orifice diameter (D) 4~13, Re. No.:3000-12000 match with mitral flow; • Using various waveforms to simulate the mitral flow velocity profile; • Creating computational domain: 10D x 10D ,128X128 unstructured staggered grids; • Setting up B.C. and I.C.: Non-slip condition on the wall boundary, convective B.C. at outflow boundary, etc. • Problem solving: the Naiver-Stokes equations are solved using commercial code CFDRC and ĸ-ω 2-equation timing marching model (Wilcox, 1988). Introduction to Research, 15,Oct. p.4/7

  5. L Modeling: D Introduction to Research, 15,Oct. p.5/7

  6. U U U t t t Different Waveforms: Introduction to Research, 15,Oct. p.6/7

  7. Computational domain: Introduction to Research, 15,Oct. p.7/7

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