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

General Characteristics of Pipe Flow II01:24

General Characteristics of Pipe Flow II

1.1K
When fluid enters a pipe, it first passes through the entrance region, where the velocity profile adjusts due to viscous effects. In this region, a boundary layer forms along the pipe walls and grows until it fully occupies the pipe's cross-section. Once the boundary layer merges, the flow becomes fully developed, with a steady velocity profile that remains consistent along the pipe's length.
The distance to reach a fully developed flow is called the entrance length and depends on the...
1.1K
Boundary Layer Characteristics01:18

Boundary Layer Characteristics

63
When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
63
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

160
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.
160
Steady, Laminar Flow in Circular Tubes01:23

Steady, Laminar Flow in Circular Tubes

179
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...
179
Steady Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

275
Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
275
Couette Flow01:22

Couette Flow

237
Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
237

You might also read

Related Articles

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

Sort by
Same author

Author Correction: Photothermal effects control ultrafast charge transport in titanium carbide MXenes.

Nature communications·2026
Same author

A novel strategy of "Separation Surgery Combined with Vertebroplasty and Interstitial Implantation of <sup>125</sup>I Seeds (SSVPI)" in managing thoracic metastases from lung adenocarcinoma with spinal cord compression.

European spine journal : official publication of the European Spine Society, the European Spinal Deformity Society, and the European Section of the Cervical Spine Research Society·2026
Same author

Stage-Specific Expression and Perinuclear Enrichment of γ-Tubulin During Tomont Development and Theront Morphogenesis in Cryptocaryon irritans.

The Journal of eukaryotic microbiology·2026
Same author

Crosstalk in the kidney-muscle axis: myokines and muscle-relevant mediators in chronic kidney disease-associated sarcopenia.

Frontiers in medicine·2026
Same author

Triploidy is prominent in the duckweed Lemna minor complex.

Communications biology·2026
Same author

Correction: The role of gut microbiota mediated ferroptosis in PCOS and the therapeutic potential of Chinese herbal medicine.

Frontiers in medicine·2026

Related Experiment Video

Updated: Jun 18, 2025

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
06:26

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets

Published on: May 15, 2017

7.1K

Stability Transition in Gap Expansion-Driven Interfacial Flow.

Dongqi Li1,2,3, Zhibing Yang1,2, Amir A Pahlavan4

  • 1State Key Laboratory of Water Resources Engineering and Management, <a href="https://ror.org/033vjfk17">Wuhan University</a>, Wuhan 430072, People's Republic of China.

Physical Review Letters
|August 2, 2024
PubMed
Summary

We studied fluid dynamics in a lifting Hele-Shaw cell, finding a new criterion for interfacial instability. Our results reveal a hierarchical fluid structure, improving predictions of pattern evolution.

More Related Videos

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

8.7K
Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
11:38

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

Published on: April 19, 2018

7.9K

Related Experiment Videos

Last Updated: Jun 18, 2025

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets
06:26

Orientational Transition in a Liquid Crystal Triggered by the Thermodynamic Growth of Interfacial Wetting Sheets

Published on: May 15, 2017

7.1K
Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

8.7K
Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
11:38

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

Published on: April 19, 2018

7.9K

Area of Science:

  • Fluid dynamics
  • Interfacial phenomena
  • Pattern formation

Background:

  • Hele-Shaw cells are crucial for studying fluid dynamics.
  • Interfacial instability governs pattern formation in fluid systems.
  • Linear stability theory often predicts instability onset too strictly.

Purpose of the Study:

  • Investigate interfacial instability in a lifting Hele-Shaw cell.
  • Characterize the transition from stable to unstable fluid patterns.
  • Develop a more accurate criterion for instability onset.

Main Methods:

  • Experimental investigation of Hele-Shaw cell dynamics.
  • Theoretical analysis using linear stability theory.
  • Development and validation of a new perturbation amplitude-based criterion.

Main Results:

  • Discrepancy found between theory and experiment for instability onset.
  • Proposed perturbation amplitude criterion shows excellent agreement with experiments.
  • Observed evolution of fingering patterns into hierarchical structures.

Conclusions:

  • The perturbation growth rate criterion is inadequate for Hele-Shaw interfacial instability.
  • A novel criterion based on perturbation amplitude accurately predicts instability onset.
  • A theoretical equation was derived to predict fingering pattern evolution.