Related Experiment Video
Updated: Sep 25, 2025
12:26
Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
Published on: August 27, 2013
17.3K
Chaotic advection in a recirculating flow: Effect of a fluid-flexible-solid interaction
Vinay Prasad1, Salil S Kulkarni1, Atul Sharma1
1Department of Mechanical Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India.
Chaos (Woodbury, N.Y.)
|April 30, 2022
Summary
This study reveals how a flexible elliptical solid moving in a fluid flow can create chaotic advection. Maximum chaos was observed at a specific aspect ratio, demonstrating complex fluid dynamics.
Area of Science:
- Fluid Dynamics
- Nonlinear Dynamics
- Chaos Theory
Background:
- Understanding fluid-solid interactions is crucial in many engineering applications.
- Lagrangian chaos describes complex particle trajectories in fluid flows.
- Previous studies have not fully explored chaos induced by deformable solids.
Purpose of the Study:
- To investigate laminar recirculating flow-induced deformation and motion of a flexible elliptical solid.
- To analyze the resulting Lagrangian chaos in a two-dimensional lid-driven cavity flow.
- To determine the influence of aspect ratio on chaotic advection.
Main Methods:
- Employed a fully Eulerian and monolithic approach for fluid flow and solid deformation.
- Conducted a chaotic advection study for various aspect ratios (β = 0.5-1.0) at constant volume fraction (Φ=10%).
- Utilized Poincaré maps, periodic point analysis, and adaptive material tracking for dynamical analysis.
Main Results:
- Maximum chaotic advection occurred at aspect ratio β=0.5.
- Poincaré maps showed elliptic islands and a chaotic sea.
- Adaptive material tracking revealed exponential stretching, folds, and confirmed chaos through heteroclinic connections.
Conclusions:
- Demonstrated the onset of chaotic advection induced by an immersed deformable solid, a novel finding.
- The study provides insights into complex fluid-structure interactions and chaos generation.
- Results are relevant for applications involving deformable objects in fluid flows.
Related Concept Videos
01:23Steady, Laminar Flow in Circular Tubes
461
Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is...
461
01:07Laminar and Turbulent Flow
9.3K
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...
9.3K
01:17Steady, Laminar Flow Between Parallel Plates
391
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
391
01:09Turbulent Flow: Problem Solving
196
Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures...
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures...
196
01:17Accelerating Fluids
1.5K
When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
1.5K
01:24Turbulent Flow
304
Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent...
304