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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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Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is...

Joule-Thomson Effect

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The Joule-Thomson effect, also known as the Joule-Kelvin effect, describes the temperature change of a fluid when it is forced through a valve or porous plug while keeping it in a thermally insulated environment. This experiment is called a throttling process. This is an important effect widely used in refrigeration and the liquefaction of gases.
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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.

Mechanisms of Heat Transfer II

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In convection, thermal energy is carried by the large-scale flow of matter. Ocean currents and large-scale atmospheric circulation, which result from the buoyancy of warm air and water, transfer hot air from the tropics toward the poles and cold air from the poles toward the tropics. The Earth’s rotation interacts with those flows, causing the observed eastward flow of air in the temperate zones. Convection dominates heat transfer by air, and the amount of available space for the airflow...

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Just as interesting as the effects of heat transfer on a system are the methods by which the heat transfer occur. Whenever there is a temperature difference, heat transfer occurs. It may occur rapidly, such as through a cooking pan, or slowly, such as through the walls of a picnic ice box. So many processes involve heat transfer that it is hard to imagine a situation where no heat transfer occurs. Yet, every heat transfer takes place by only three methods: conduction, convection, and radiation.

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Updated: Aug 12, 2025

Magnetically Induced Rotating Rayleigh-Taylor Instability

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Thermoelectric instabilities in a circular Couette flow.

A Meyer¹, H N Yoshikawa², P S B Szabo¹

¹Department of Aerodynamics and Fluid Mechanics, Brandenburg University of Technology Cottbus-Senftenberg, Siemens-Halske-Ring 15a, 03046 Cottbus, Germany.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|January 29, 2023

Summary

This study analyzes non-isothermal circular Couette flow stability under dielectrophoretic forces. Results reveal instability thresholds and mode characteristics for rotating inner cylinder flows with radial electric buoyancy.

Keywords:

energy analysis linear stability analysis thermoelectric instability

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Last Updated: Aug 12, 2025

Magnetically Induced Rotating Rayleigh-Taylor Instability

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Published on: March 3, 2017

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

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Published on: October 5, 2018

Area of Science:

Fluid Dynamics
Non-isothermal flows
Dielectrophoresis

Background:

Circular Couette flow is fundamental in fluid dynamics.
Non-isothermal effects and external force fields significantly alter flow stability.
Dielectrophoretic forces offer a method to manipulate dielectric fluids.

Purpose of the Study:

To investigate the linear stability of non-isothermal circular Couette flow.
To analyze the impact of a dielectrophoretic force field on flow stability.
To determine the onset of instability and associated flow modes.

Main Methods:

Linear stability analysis was employed.
Consideration of outward and inward heating configurations.
Application of an alternating voltage to induce radial electric buoyancy.

Main Results:

The study identified the threshold for the first transition to instability.
Wavenumber and frequency of the unstable modes were determined.
The influence of dielectrophoretic forces on stability boundaries was quantified.

Conclusions:

Dielectrophoretic forces can significantly alter the stability of non-isothermal circular Couette flow.
The findings provide critical insights into electrohydrodynamics in confined geometries.
This research contributes to understanding complex fluid behavior under combined thermal and electric fields.