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

Navier–Stokes Equations01:28

Navier–Stokes Equations

For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

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...
Euler's Equations of Motion01:28

Euler's Equations of Motion

In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains uniform across...
Couette Flow01:22

Couette Flow

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...
Equations of Motion: Normal and Tangetial Components01:10

Equations of Motion: Normal and Tangetial Components

Describing the motion of a particle along a curvilinear path involves understanding its components in terms of normal and tangential aspects. The normal component aligns with the radial direction of the curve at a specific point, reflecting changes in the trajectory of the velocity vector. In contrast, the tangential component is tangential to the curve at that point and signifies the rate at which speed alters along the path.
Newton's second law of motion is employed to articulate the equation...
Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and Faraday.

You might also read

Related Articles

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

Sort by
Same author

Hexatic-to-disorder transition in colloidal crystals near electrodes: rapid annealing of polycrystalline domains.

Physical review letters·2013
Same author

Cell cycle regulation of a human cyclin-like gene encoding uracil-DNA glycosylase.

The Journal of biological chemistry·1993
Same author

Isolation and characterization of a human cDNA encoding uracil-DNA glycosylase.

Biochimica et biophysica acta·1991
Same author

Structure and histogenesis of the principal sensory nucleus of the trigeminal nerve: effects of prenatal exposure to ethanol.

The Journal of comparative neurology·1989
Same author

[Thermography of the gum].

Zobozdravstveni vestnik·1970

Related Experiment Video

Updated: Jul 15, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Explicit analytic formulas for Newtonian Taylor-Couette primary instabilities.

C S Dutcher1, S J Muller

  • 1Department of Chemical Engineering, University of California at Berkeley, Berkeley, California 94720, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 16, 2007
PubMed
Summary

This study reveals self-similar stability boundaries for fluid flow between rotating cylinders. New formulas predict critical Reynolds numbers for Taylor vortex and spiral vortex flows, simplifying stability analysis.

More Related Videos

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow
08:25

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow

Published on: April 30, 2018

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Related Experiment Videos

Last Updated: Jul 15, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow
08:25

Measurements of Local Instantaneous Convective Heat Transfer in a Pipe - Single and Two-phase Flow

Published on: April 30, 2018

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

Area of Science:

  • Fluid Dynamics
  • Nonlinear Dynamics
  • Experimental Physics

Background:

  • The stability of flow between rotating cylinders is crucial in fluid mechanics.
  • Existing data on primary stability boundaries exhibit complex dependencies on radius and rotation ratios.
  • Understanding transitions to Taylor vortex flow and spiral vortex flow is key.

Purpose of the Study:

  • To identify self-similar parameters for primary stability boundaries in concentric cylinder flows.
  • To develop explicit analytic formulas for critical Reynolds numbers across various flow conditions.
  • To experimentally validate the influence of nodal surfaces on flow stability.

Main Methods:

  • Analysis of existing primary stability boundary data.
  • Application of a combination of variables technique for data collapse.
  • Empirical fitting of collapsed data to derive analytic formulas.
  • Experimental investigation of nodal surface influence for specific rotation ratios.

Main Results:

  • Primary stability boundary data exhibit self-similarity in a defined parameter space.
  • Experimental results for Taylor vortex and spiral vortex flows collapse onto a single curve.
  • Explicit analytic formulas for critical Reynolds numbers were derived for counter-rotating and co-rotating cylinders.
  • Nodal surface influence was experimentally confirmed for micro approximately equal -1.7.

Conclusions:

  • The study successfully established self-similar relationships for flow stability boundaries.
  • The derived analytic formulas provide accurate predictions for critical Reynolds numbers.
  • Findings offer a simplified approach to understanding and predicting flow instabilities in concentric cylinders.