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

Hydrostatic Pressure Force on a Curved Surface01:04

Hydrostatic Pressure Force on a Curved Surface

Hydrostatic pressure on curved surfaces is a fundamental concept in fluid mechanics with broad applications in the civil engineering field. When fluid is in contact with a curved surface, as in a reservoir, dam, or storage tank, it exerts pressure that varies in magnitude and direction along the curved surface. To assess the total hydrostatic force exerted by the fluid on a curved structure, engineers typically isolate the fluid volume adjacent to the surface and analyze the forces acting on...
Typical Model Studies01:30

Typical Model Studies

Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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.
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
Design Example: Creating a Hydraulic Model of a Dam Spillway01:21

Design Example: Creating a Hydraulic Model of a Dam Spillway

Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
Hydrostatic Pressure Force on a Plane Surface01:04

Hydrostatic Pressure Force on a Plane Surface

When a plane surface is submerged in a fluid, hydrostatic forces develop on the surface due to the fluid's pressure. For horizontal surfaces, the pressure exerted by the fluid is uniform because the depth remains constant. The resultant force is determined by the pressure at the given depth multiplied by the area of the surface, and it acts through the centroid of the surface. For vertical surfaces, the pressure varies with depth, increasing as the distance from the fluid's free surface...

You might also read

Related Articles

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

Sort by
Same author

A mathematical model of fibrinogen-mediated erythrocyte-erythrocyte adhesion.

Communications biology·2023
Same author

Cobimetinib plus atezolizumab in BRAF<sup>V600</sup> wild-type melanoma: primary results from the randomized phase III IMspire170 study.

Annals of oncology : official journal of the European Society for Medical Oncology·2020
Same author

Evolving concepts in ventral hernia repair and physical therapy: prehabilitation, rehabilitation, and analogies to tendon reconstruction.

Hernia : the journal of hernias and abdominal wall surgery·2020
Same author

Understanding gold toxicity in aerobically-grown Escherichia coli.

Biological research·2020
Same author

High-pressure homogenization and high hydrostatic pressure processing of human milk: Preservation of immunological components for human milk banks.

Journal of dairy science·2020
Same author

Essential role of the C148-C227 disulphide bridge in the human 5-HT<sub>2A</sub> homodimeric receptor.

Biochemical pharmacology·2020

Related Experiment Video

Updated: Jun 23, 2026

Parametric Optimization Design Method for Friction Plates of Hydro-Viscous Clutches
10:58

Parametric Optimization Design Method for Friction Plates of Hydro-Viscous Clutches

Published on: July 22, 2025

Single-phase-field model of stepped surfaces.

M Castro1, A Hernández-Machado, R Cuerno

  • 1Grupo Interdisciplinar de Sistemas Complejos (GISC) and Grupo de Dinámica No Lineal (DNL), Escuela Técnica Superior de Ingeniería (ICAI), Universidad Pontificia Comillas, E-28015 Madrid, Spain. marioc@upcomillas.es

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 28, 2009
PubMed
Summary

This study introduces a new phase-field model for step dynamics on surfaces, simplifying previous methods by using a single field. The model accurately reproduces the Burton-Cabrera-Frank theory, including the Ehrlich-Schwoebel effect.

More Related Videos

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
06:34

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes

Published on: January 6, 2023

Related Experiment Videos

Last Updated: Jun 23, 2026

Parametric Optimization Design Method for Friction Plates of Hydro-Viscous Clutches
10:58

Parametric Optimization Design Method for Friction Plates of Hydro-Viscous Clutches

Published on: July 22, 2025

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
06:34

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes

Published on: January 6, 2023

Area of Science:

  • Surface science
  • Materials science
  • Computational physics

Background:

  • Step dynamics on vicinal surfaces are crucial for crystal growth.
  • Existing models often use coupled fields, increasing complexity.
  • The Ehrlich-Schwoebel effect significantly impacts surface morphology.

Purpose of the Study:

  • To develop a simplified phase-field model for step dynamics.
  • To unify phase-field descriptions with established continuum models.
  • To provide a flexible framework for incorporating additional physical phenomena.

Main Methods:

  • Formulation of a single-field phase-field model.
  • Asymptotic analysis in the sharp interface limit.
  • Numerical simulations to validate the model.

Main Results:

  • The proposed model successfully retrieves the Burton-Cabrera-Frank (BCF) model.
  • It accounts for asymmetric attachment coefficients, including the Ehrlich-Schwoebel effect.
  • Numerical simulations confirm the analytical findings.

Conclusions:

  • The single-field phase-field model offers a more efficient approach to studying step dynamics.
  • This formulation provides a robust foundation for future extensions and complex surface phenomena.
  • The model is well-suited for investigating surface evolution under various conditions.