Related Experiment Video
Updated: Aug 13, 2026
07:51
Dielectric RheoSANS — Simultaneous Interrogation of Impedance, Rheology and Small Angle Neutron Scattering of Complex Fluids
Published on: April 10, 2017
Spatiotemporal rheochaos in nematic hydrodynamics
Buddhapriya Chakrabarti1, Moumita Das, Chandan Dasgupta
1Department of Physics, Indian Institute of Science, Bangalore 560012, India. buddho@physics.umass.edu
Physical Review Letters
|March 6, 2004
Summary
Recent observations of rheochaos in sheared wormlike micelles inspired this study. We found irregular, dynamic shear banding in a sheared nematogenic fluid, confirming spatiotemporal chaos in numerical tests.
Area of Science:
- Fluid dynamics
- Nonlinear dynamics
- Materials science
Background:
- Recent observations have revealed rheochaos in sheared wormlike micelles.
- Shear banding is a complex phenomenon observed in various complex fluids.
Purpose of the Study:
- To investigate the phenomenon of dynamic shear banding in sheared nematogenic fluids.
- To understand the nature of chaos observed in these systems.
Main Methods:
- Coupled nonlinear partial differential equations were used to model the system.
- Numerical tests were performed to analyze the behavior of hydrodynamic velocity and order-parameter fields.
Main Results:
- Irregular, dynamic shear banding was observed within a specific parameter range.
- Decisive numerical tests confirmed the spatiotemporal nature of the observed chaos.
Conclusions:
- The study establishes a connection between rheochaos and spatiotemporal chaos in sheared nematogenic fluids.
- The findings provide insights into the complex dynamics of complex fluids under shear.
More Related Videos
Related Concept Videos
01:10Poiseuille's Law and Reynolds Number
Any fluid in a horizontal tube can flow due to pressure differences—fluid flows from high to low pressure. The flow rate (Q) is the ratio of pressure difference and resistance through a horizontal tube. The greater the pressure difference, the higher the flow rate. The flow resistance is expressed as:
01:18Newtonian Fluid: Problem Solving
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.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
01:11Pressure Variation in a Fluid at Rest
In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
When measuring pressure at two different levels within the fluid, the difference in pressure...
When measuring pressure at two different levels within the fluid, the difference in pressure...
01:22Eulerian and Lagrangian Flow Descriptions
Fluid flow analysis is critical in many scientific and engineering disciplines, and two principal approaches are used to describe this flow: the Eulerian and Lagrangian methods. These methods offer different perspectives on monitoring and analyzing the motion of fluids, each with distinct advantages depending on the scenario.
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
01:28Irrotational Flow
Irrotational flow is characterized by fluid motion where particles do not rotate around their axes, resulting in zero vorticity. For a flow to be irrotational, the curl of the velocity field must be zero. This imposes specific conditions on velocity gradients. For instance, to maintain zero rotation about the z-axis, the gradient condition:
01:28Navier–Stokes Equations
For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...