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Couette Flow01:22

Couette Flow

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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...
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Faraday Disk Dynamo01:23

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A Faraday disk dynamo is a DC generator, producing an emf that is constant in time. It consists of a conducting disk that rotates with a constant angular velocity in the magnetic field, perpendicular to the disk's plane. The rotation of the disk causes a change in magnetic flux, which induces an emf, causing opposite charges to develop on the rim and in the center of the disk. The polarity of the induced emf can be determined by the direction of the magnetic field and the direction of the...
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Ferromagnetism01:31

Ferromagnetism

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Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
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Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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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.
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The Fluid Mosaic Model01:34

The Fluid Mosaic Model

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The fluid mosaic model was first proposed as a visual representation of research observations. The model comprises the composition and dynamics of membranes and serves as a foundation for future membrane-related studies. The model depicts the structure of the plasma membrane with a variety of components, which include phospholipids, proteins, and carbohydrates. These integral molecules are loosely bound, defining the cell’s border and providing fluidity for optimal function.
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Torque On A Current Loop In A Magnetic Field01:13

Torque On A Current Loop In A Magnetic Field

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The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
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Related Experiment Video

Updated: Jul 16, 2025

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

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Spin-up flow in ferrofluids: a toy model.

R E Rosensweig1

  • 1Former Science Advisor, Exxon Corporate Research Laboratory, Clinton, NJ, USA. rerosen1@yahoo.com.

The European Physical Journal. E, Soft Matter
|September 18, 2023
PubMed
Summary

Ferrofluid spin-up in a rotating magnetic field is explained by meniscus shape. This study details tangential stress and torque, rationalizing spin rate increases in smaller vessels.

Area of Science:

  • Physics
  • Fluid Dynamics
  • Magnetohydrodynamics

Background:

  • The spin-up of ferrofluids under rotating magnetic fields has been observed for over 50 years.
  • Initial observations showed ferrofluids rotating opposite to the applied magnetic field.
  • Previous attempts to explain this phenomenon have been unsuccessful.

Purpose of the Study:

  • To further investigate the influence of ferrofluid meniscus shape on spin-up dynamics.
  • To develop an analytical expression for the torque generated during ferrofluid spin-up.
  • To provide a physical model explaining the observed spin-up behavior.

Main Methods:

  • Analysis of tangential stress generated on the ferrofluid meniscus surface.
  • Development of an analytical expression for torque based on meniscus geometry.

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  • Experimental observation and theoretical rationalization of spin rate in different vessel sizes.

    • Main Results:

    • The shape of the ferrofluid meniscus is a critical factor determining the direction of spin-up.
    • An analytical expression for torque has been derived, linking it to meniscus properties.
    • Increased spin rates are observed and explained for ferrofluids in smaller diameter vessels.

    Conclusions:

    • The ferrofluid meniscus shape plays a pivotal role in the spin-up phenomenon.
    • The developed analytical model provides a framework for understanding ferrofluid rotational dynamics.
    • This research offers a clearer physical picture of ferrofluid spin-up, resolving a long-standing puzzle.