Related Experiment Video
Updated: May 3, 2026
06:42
Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
9.2K
Study on electrohydrodynamic Rayleigh-Taylor instability with heat and mass transfer
Mukesh Kumar Awasthi1, Vineet K Srivastava2
1Department of Mathematics, College of Engineering, University of Petroleum and Energy Studies, Dehradun 248007, India.
Thescientificworldjournal
|February 15, 2014
Summary
This study analyzes Rayleigh-Taylor instability in viscous fluids with heat and mass transfer. Both electric fields and heat transfer were found to stabilize the system, enhancing fluid stability.
Area of Science:
- Fluid dynamics
- Plasma physics
- Instability analysis
Background:
- Rayleigh-Taylor instability is crucial in various fluid systems.
- Previous studies explored viscous potential flow and electric field effects.
- Understanding stability with heat/mass transfer and electric fields is vital.
Purpose of the Study:
- To conduct a linear analysis of Rayleigh-Taylor instability.
- To investigate the influence of tangential electric fields with heat and mass transfer.
- To develop a more robust theoretical framework by eliminating velocity and shear stress discontinuities.
Main Methods:
- Linear analysis of fluid interface stability.
- Application of irrotational flow theory.
- Global energy balance to eliminate discontinuities.
- Parametric study using graphical representations.
Main Results:
- The stability criterion is determined by critical electric field values and wave numbers.
- Heat transfer and electric fields exhibit a stabilizing effect.
- Vapour fraction and heat transfer coefficient influence system stability.
Conclusions:
- Tangential electric fields and heat transfer significantly enhance system stability.
- The theoretical approach addresses limitations of previous potential flow models.
- This research provides insights into controlling fluid instabilities in complex systems.
More Related Videos
Related Concept Videos
01:24Reynolds Transport Theorem
1.9K
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
1.9K
01:17Steady, Laminar Flow Between Parallel Plates
1.1K
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.
1.1K
01:24Turbulent Flow
921
Turbulent flow is characterized by unpredictable fluctuations in velocity and pressure, which result in a chaotic fluid movement distinct from the orderly patterns of laminar flow. While laminar flow is governed by smooth, parallel layers with minimal mixing, turbulent flow exhibits highly irregular, three-dimensional patterns. This behavior arises due to instabilities in the fluid's velocity profile, and amplifies as the flow velocity increases. Minor disturbances, known as turbulent...
921
01:20Mechanisms of Heat Transfer II
4.5K
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...
4.5K
01:23Steady, Laminar Flow in Circular Tubes
2.0K
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 purely...
2.0K
01:14Mechanisms of Heat Transfer I
5.8K
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.
5.8K