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

Causes of Similarity-Dissimilarity Effect01:26

Causes of Similarity-Dissimilarity Effect

335
The similarity-dissimilarity effect, a fundamental concept in social psychology, explains how interpersonal similarities and differences influence attraction and social interactions. This effect is supported by three key psychological perspectives: balance theory, social comparison theory, and consensual validation.Balance Theory and Cognitive ConsistencyBalance theory, developed by Fritz Heider, posits that individuals seek cognitive consistency in their relationships. When two people share...
335
One-Way ANOVA: Equal Sample Sizes01:15

One-Way ANOVA: Equal Sample Sizes

4.4K
One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
4.4K
Factors Influencing Attraction III: Similarity01:23

Factors Influencing Attraction III: Similarity

928
The similarity hypothesis suggests that individuals are more likely to form relationships with others who share similar attitudes, beliefs, values, and interests. This concept has been widely studied in social psychology, demonstrating that perceived similarity fosters interpersonal attraction. In an experiment supporting this hypothesis, participants were presented with fabricated information indicating that strangers held attitudes similar to their own. The results showed that participants...
928
One-Way ANOVA: Unequal Sample Sizes01:15

One-Way ANOVA: Unequal Sample Sizes

7.0K
One-way ANOVA can be performed on three or more samples of unequal sizes. However, calculations get complicated when sample sizes are not always the same. So, while performing ANOVA with unequal samples size, the following equation is used:
7.0K
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

725
Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
725
Modeling and Similitude01:12

Modeling and Similitude

718
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
718

You might also read

Related Articles

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

Sort by
Same author

Superstatistics approach to turbulent circulation fluctuations.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Turbulence without Walls: Whither the Zeroth Law of Turbulence?

Physical review letters·2025
Same author

Hierarchical network of thermal plumes and their dynamics in turbulent Rayleigh-Bénard convection.

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

Bounded dissipation law and profiles of turbulent velocity moments in wall flows.

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

Forward and Inverse Energy Cascade in Fluid Turbulence Adhere to Kolmogorov's Refined Similarity Hypothesis.

Physical review letters·2024
Same author

Phenomenology of transition to quantum turbulence in flows of superfluid helium.

Proceedings of the National Academy of Sciences of the United States of America·2024

Related Experiment Video

Updated: Mar 27, 2026

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

3.0K

Refined similarity hypothesis using three-dimensional local averages.

Kartik P Iyer1, Katepalli R Sreenivasan2, P K Yeung3

  • 1Department of Physics and INFN, University of Rome Tor Vergata, Rome 00133, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2016
PubMed
Summary

Kolmogorov's refined similarity hypotheses were tested using 3D data from direct numerical simulations. The study found the stochastic variable V is universal in the inertial subrange but depends on local Reynolds number in the dissipation range.

More Related Videos

Application of High-speed Super-resolution SPEED Microscopy in Live Primary Cilium
07:53

Application of High-speed Super-resolution SPEED Microscopy in Live Primary Cilium

Published on: January 16, 2018

8.8K
Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
12:27

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

Published on: February 15, 2017

7.4K

Related Experiment Videos

Last Updated: Mar 27, 2026

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

3.0K
Application of High-speed Super-resolution SPEED Microscopy in Live Primary Cilium
07:53

Application of High-speed Super-resolution SPEED Microscopy in Live Primary Cilium

Published on: January 16, 2018

8.8K
Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
12:27

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

Published on: February 15, 2017

7.4K

Area of Science:

  • Fluid Dynamics
  • Turbulence Theory
  • Statistical Physics

Background:

  • Kolmogorov's refined similarity hypotheses are crucial for understanding intermittent turbulence.
  • Previous tests relied on 1D data and surrogate energy dissipation measures.
  • High-resolution direct numerical simulations offer a more robust approach.

Purpose of the Study:

  • To rigorously test Kolmogorov's refined similarity hypotheses.
  • To investigate the small-scale properties of the stochastic variable V.
  • To analyze universality and scaling in turbulent flows.

Main Methods:

  • Utilizing high-resolution direct numerical simulations (DNS) with 4096(3) grid points.
  • Employing three-dimensional averages for statistical analysis.
  • Calculating the stochastic variable V = Δu(r) / (rε(r))^(1/3).

Main Results:

  • The stochastic variable V demonstrates universality within the inertial subrange.
  • In the dissipation range, the statistics of V are solely dependent on the local Reynolds number.
  • Validation of refined similarity hypotheses using 3D simulation data.

Conclusions:

  • The study confirms the universality of V in the inertial subrange.
  • It reveals a local Reynolds number dependency for V in the dissipation range.
  • Provides strong evidence for Kolmogorov's hypotheses in 3D turbulence.