Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Turbulent Flow: Problem Solving01:09

Turbulent Flow: Problem Solving

205
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...
205
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

515
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...
515
Laminar Flow: Problem Solving01:24

Laminar Flow: Problem Solving

275
Laminar flow occurs when a fluid moves smoothly in parallel layers with minimal mixing and turbulence. In fluid mechanics, ensuring laminar flow within a pipe is essential for precise control of flow characteristics, especially in engineering applications. The key factor in determining whether flow remains laminar is the Reynolds number, a dimensionless quantity that depends on the fluid's velocity, density, viscosity, and the pipe's diameter. A Reynolds number of 2100 or lower...
275
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

9.5K
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...
9.5K
Accelerating Fluids01:17

Accelerating Fluids

1.6K
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:
1.6K
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

158
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...
158

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Polymer Physics: From Theory to Experimental Applications.

Polymers·2024
Same author

Numerical Simulation of Three-Dimensional Free Surface Flows Using the K-BKZ-PSM Integral Constitutive Equation.

Polymers·2023
Same author

Numerical Simulation of Rheological Models for Complex Fluids Using Hierarchical Grids.

Polymers·2022
Same author

Advanced Polymer Simulation and Processing.

Polymers·2022
Same author

Numerical Study of Electro-Osmotic Fluid Flow and Vortex Formation.

Micromachines·2019

Related Experiment Video

Updated: Oct 18, 2025

Visualizing Hyporheic Flow Through Bedforms Using Dye Experiments and Simulation
09:49

Visualizing Hyporheic Flow Through Bedforms Using Dye Experiments and Simulation

Published on: November 18, 2015

12.4K

A Hierarchical Grid Solver for Simulation of Flows of Complex Fluids.

Antonio Castelo1, Alexandre M Afonso2, Wesley De Souza Bezerra3

  • 1Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Cx.P. 668, São Carlos 13560-970, SP, Brazil.

Polymers
|September 28, 2021
PubMed
Summary

This study introduces a novel meshless interpolation method for tree-based grids, enabling complex configurations and accurate fluid flow simulations. The approach enhances flexibility and robustness in computational fluid dynamics.

Keywords:
finite difference methodsmeshless interpolationnumerical solutionpolymer flowsviscoelastic flows

More Related Videos

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

4.1K
In Vitro Model Integrating Substrate Stiffness and Flow to Study Endothelial Cell Responses
08:53

In Vitro Model Integrating Substrate Stiffness and Flow to Study Endothelial Cell Responses

Published on: July 19, 2024

661

Related Experiment Videos

Last Updated: Oct 18, 2025

Visualizing Hyporheic Flow Through Bedforms Using Dye Experiments and Simulation
09:49

Visualizing Hyporheic Flow Through Bedforms Using Dye Experiments and Simulation

Published on: November 18, 2015

12.4K
Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
13:07

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression

Published on: January 15, 2022

4.1K
In Vitro Model Integrating Substrate Stiffness and Flow to Study Endothelial Cell Responses
08:53

In Vitro Model Integrating Substrate Stiffness and Flow to Study Endothelial Cell Responses

Published on: July 19, 2024

661

Area of Science:

  • Computational fluid dynamics
  • Numerical analysis
  • Meshing techniques

Background:

  • Tree-based grids offer efficient Cartesian discretizations with local mesh refinement.
  • Adapting discretization stencils at interfaces between different grid sizes is a key challenge.
  • Existing methods often limit mesh complexity to simplify interface treatments.

Purpose of the Study:

  • To develop a robust method for handling complex mesh configurations in tree-based grids.
  • To implement a moving least squares meshless interpolation technique for improved accuracy.
  • To simulate various fluid flows, including viscoelastic fluids, using the enhanced meshing approach.

Main Methods:

  • Employed a moving least squares (MLS) meshless interpolation technique.
  • Implemented the MLS method within the HiG-Flow computational fluid dynamics code.
  • Applied the technique to simulate Newtonian, generalized Newtonian, and viscoelastic fluid flows.

Main Results:

  • The MLS method successfully handles complex mesh configurations without sacrificing accuracy.
  • Demonstrated the flexibility and robustness of the approach through numerical tests.
  • Successfully simulated viscoelastic fluid flows, showcasing the method's applicability.

Conclusions:

  • The moving least squares meshless interpolation technique provides a flexible and accurate solution for tree-based grids.
  • This approach overcomes limitations of traditional methods, allowing for more complex and efficient simulations.
  • The implemented method is robust for a range of fluid flow problems, including advanced viscoelastic simulations.