Polymer margination in uniform shear flows

Venkat Balasubramanian1, Colin Denniston

  • 1Department of Applied Mathematics, The University of Western Ontario, London, Ontario N6A 5B7, Canada. vbalasu8@uwo.ca.

Soft Matter
|November 8, 2018
PubMed

Insights

Larger monomer size increases polymer margination towards surfaces in shear flow. Lattice-Boltzmann molecular dynamics simulations reveal this trend for polymer chains of varying lengths and monomer sizes.

Area of Science:

  • Polymer physics
  • Fluid dynamics
  • Computational science

Background:

  • Polymer margination, the tendency of polymers to migrate towards surfaces, is a critical phenomenon in various fluid flow applications.
  • Understanding factors influencing polymer behavior near surfaces is essential for controlling material properties and processes.

Purpose of the Study:

  • To investigate the impact of monomer size on polymer margination in uniform shear flows.
  • To quantify the relationship between monomer size and polymer migration tendency using advanced simulation techniques.

Main Methods:

  • Extensive lattice-Boltzmann molecular dynamics (LBMD) simulations were employed.
  • Simulations considered polymer chains of lengths N = 16 and N = 32 monomers.
  • The effect of varying monomer size (a) and shear rates (γ̇) was systematically analyzed.

Main Results:

  • Chains with larger monomer radii exhibited a higher tendency for margination compared to chains with smaller radii, even at the same chain length (N).
  • Margination was quantified using distributions of chain extent (zm), center of mass normal to the surface (zc), and radius of gyration components (Rx, Ry, Rz).

Conclusions:

  • Monomer size is a significant factor influencing polymer margination in shear flows.
  • The findings provide valuable insights for designing and manipulating polymer behavior in confined flow environments.

Related Concept Videos

Uniform Depth Channel Flow01:27

Uniform Depth Channel Flow

Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
584
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
499
Polymers02:34

Polymers

The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the...
40.9K
Uniform Distribution01:19

Uniform Distribution

The uniform distribution is a continuous probability distribution of events with an equal probability of occurrence. This distribution is rectangular.
Two essential properties of this distribution are
6.1K
Margin of Error01:27

Margin of Error

The margin of error is also called the maximum error of an estimate. The margin of error is the maximum possible or expected difference between the observed sample parameter value and the actual population parameter value. For proportion, it is the maximum difference between the value of sample proportion obtained from the data and the true value of population proportion. As the true value of the population parameter is not known, the margin of error is calculated using the sample statistic.
7.6K
Uniform Circular Motion01:14

Uniform Circular Motion

Uniform circular motion is a specific type of motion in which an object travels in a circle with a constant speed. For example, any point on a propeller spinning at a constant rate is undergoing uniform circular motion. The second, minute, and hour hands of a watch also undergo uniform circular motion. It is hard to believe that points on these rotating objects are actually accelerating, even though the rotation rate is constant. To understand this, we must analyze the motion in terms of...
22.3K