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

Optimization Problems01:26

Optimization Problems

216
Optimization problems often involve identifying maximum or minimum values under specific constraints. A well-known example is determining the longest horizontal pipe that can be moved around a right-angled corner, where a 3-meter-wide hallway meets a 2-meter-wide hallway. This scenario, common in architectural design and industrial transport, can be understood conceptually through geometric and trigonometric reasoning.To visualize the problem, consider the pipe as a straight line that touches...
216
Methods of Medium Optimization01:28

Methods of Medium Optimization

69
Optimizing growth media enhances microbial proliferation and maximizes product yield. Statistical experimental design methodologies provide structured and reproducible approaches, offering progressively higher levels of robustness and efficiency.The One-Factor-at-a-Time (OFAT) MethodThe One-Factor-at-a-Time (OFAT) method involves adjusting a single variable while keeping all others constant. However, it cannot detect interactions between variables, often leading to suboptimal outcomes when...
69
Quadratic Models01:23

Quadratic Models

368
Quadratic models are mathematical representations used to describe relationships in which the rate of change changes at a constant rate. These models appear in a wide variety of natural and engineered systems, especially those involving motion, forces, and optimization. One common application is analyzing the vertical motion of objects influenced by gravity, such as a ball thrown into the air.In such scenarios, the object's height changes over time in a curved pattern, rising to a maximum point...
368
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

438
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
438
Bernoulli's Equation: Problem Solving01:16

Bernoulli's Equation: Problem Solving

1.5K
A Venturi meter is essential for measuring fluid flow rates in pipelines. It utilizes the relationship between fluid velocity and pressure described by Bernoulli's equation. When installed in a sewage system, the Venturi meter accurately determines the wastewater flow rate by measuring pressure differences.
The first step is to compute the cross-sectional areas of the pipe and the Venturi throat to analyze the pressure difference indicated by the pressure gauge. Next, the continuity equation is...
1.5K
Exponential Equations for Modeling Growth01:26

Exponential Equations for Modeling Growth

458
Exponential models are essential for describing rapid, multiplicative changes in natural systems, such as population growth. When a population doubles at regular intervals, the process can be modeled using a suitable base. For instance, a bacterial culture that doubles every three hours follows the model n(t)=n0⋅2t/3, where n(t) is the population at the time t.A more general model uses the natural base e, especially for continuous growth. This takes the form n(t)=n0⋅ert, where r is...
458

You might also read

Related Articles

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

Sort by
Same author

A residual-potential boundary for time-dependent, infinite-domain problems in computational acoustics.

The Journal of the Acoustical Society of America·2010
Same author

An integrated wave-effects model for an underwater explosion bubble.

The Journal of the Acoustical Society of America·2002
See all related articles

Related Experiment Video

Updated: Apr 27, 2026

Microbubble Fabrication of Concave-porosity PDMS Beads
11:52

Microbubble Fabrication of Concave-porosity PDMS Beads

Published on: December 15, 2015

7.8K

Optimization of an augmented Prosperetti-Lezzi bubble model.

Thomas L Geers1

  • 1Department of Mechanical Engineering, University of Colorado, Boulder, Colorado 80309-0427.

The Journal of the Acoustical Society of America
|July 5, 2014
PubMed
Summary
This summary is machine-generated.

This study enhances a bubble collapse model by incorporating internal pressure variations and gas kinetic energy. These improvements significantly expand the model's predictive capabilities for violent bubble dynamics.

More Related Videos

Design and Optimization Strategies of a High-Performance Vented Box
14:23

Design and Optimization Strategies of a High-Performance Vented Box

Published on: June 9, 2023

1.8K
A Workflow for Lipid Nanoparticle LNP Formulation Optimization using Designed Mixture-Process Experiments and Self-Validated Ensemble Models SVEM
13:54

A Workflow for Lipid Nanoparticle LNP Formulation Optimization using Designed Mixture-Process Experiments and Self-Validated Ensemble Models SVEM

Published on: August 18, 2023

6.4K

Related Experiment Videos

Last Updated: Apr 27, 2026

Microbubble Fabrication of Concave-porosity PDMS Beads
11:52

Microbubble Fabrication of Concave-porosity PDMS Beads

Published on: December 15, 2015

7.8K
Design and Optimization Strategies of a High-Performance Vented Box
14:23

Design and Optimization Strategies of a High-Performance Vented Box

Published on: June 9, 2023

1.8K
A Workflow for Lipid Nanoparticle LNP Formulation Optimization using Designed Mixture-Process Experiments and Self-Validated Ensemble Models SVEM
13:54

A Workflow for Lipid Nanoparticle LNP Formulation Optimization using Designed Mixture-Process Experiments and Self-Validated Ensemble Models SVEM

Published on: August 18, 2023

6.4K

Area of Science:

  • Fluid dynamics
  • Acoustics
  • Bubble dynamics

Background:

  • The Prosperetti and Lezzi model is a key tool for predicting spherical bubble collapse.
  • Existing models have limitations in accurately predicting violent collapse and rebound phenomena.
  • Perturbation analysis of interior Euler equations provides a basis for refinement.

Purpose of the Study:

  • To introduce three enhancements to the matched-asymptotic-expansion model for predicting violent bubble collapse and rebound.
  • To improve the accuracy and applicability of single-degree-of-freedom bubble models.
  • To validate model enhancements against finite-difference simulations.

Main Methods:

  • Incorporating spatial pressure variation within the bubble using perturbation analysis.
  • Augmenting the model with a term for bubble gas kinetic energy.
  • Determining an optimal value for a model parameter by comparing predictions with finite-difference simulations.

Main Results:

  • The three enhancements significantly extend the applicability of the bubble model.
  • The refined model shows improved accuracy in predicting peak pressures during bubble collapse.
  • The study validates the enhanced model against detailed numerical simulations.

Conclusions:

  • The enhanced bubble collapse model offers a more robust and accurate prediction tool.
  • Spatial pressure variation and kinetic energy terms are crucial for accurate modeling.
  • The optimized model provides a valuable advancement for fluid dynamics research.