Related Experiment Video
Updated: Dec 26, 2025
10:11
Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer
Published on: April 19, 2021
4.1K
Bicritical states in a vertical layer of fluid under two-frequency temperature modulation
Jitender Singh1, Puneet Kaur1, Renu Bajaj2
1Department of Mathematics, Guru Nanak Dev University, Amritsar-143005, Punjab, India.
Physical Review. E
|March 15, 2020
Summary
Boundary temperature modulation controls fluid convection onset. This study explores harmonic and subharmonic oscillations, revealing transitions via bicritical and tricritical states, dependent on modulation parameters and fluid properties.
Area of Science:
- Fluid dynamics
- Nonlinear dynamics
- Heat transfer
Background:
- Natural convection is crucial in heat transfer and fluid transport.
- Controlling convective instability is essential for various engineering applications.
- Boundary condition modulation offers a method to influence fluid behavior.
Purpose of the Study:
- To investigate the impact of two-frequency modulated boundary temperatures on natural convection onset.
- To analyze the role of modulation parameters (frequency ratio, mixing angle) in controlling instability.
- To characterize the types of oscillations (harmonic, subharmonic) and transition states.
Main Methods:
- Theoretical analysis of fluid dynamics in a layer between vertical parallel planes.
- Examination of the onset of natural convection under modulated boundary conditions.
- Identification of harmonic, subharmonic, bicritical, and tricritical states.
Main Results:
- Two-frequency modulation effectively controls the onset of natural convection.
- Fluid layers exhibit harmonic and subharmonic oscillations at instability onset.
- Transitions between oscillation types occur through bicritical states, with an almost tricritical state observed.
- Instability onset is dependent on modulation parameters and fluid Prandtl number.
Conclusions:
- Two-frequency boundary temperature modulation is a viable method for controlling natural convection.
- The study elucidates the complex dynamics, including bicritical and tricritical phenomena, governing convective instability.
- Understanding these phenomena is key for predicting and managing fluid behavior in modulated systems.
More Related Videos
Related Concept Videos
01:17Steady, Laminar Flow Between Parallel Plates
710
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.
710
01:22Couette Flow
801
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...
801
01:28Magnetostatic Boundary Conditions
1.5K
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
1.5K
01:12Fluid Pressure over Curved Plate of Constant Width
1.8K
When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
1.8K
01:02Fluid Pressure over Flat Plate of Variable Width
2.0K
When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
2.0K
01:18Boundary Layer Characteristics
454
When a fluid encounters a solid surface, a boundary layer forms due to the interaction between the fluid's motion and the stationary surface. This phenomenon is characterized by a thin region adjacent to the surface where viscous forces dominate, influencing the fluid's velocity profile. The development of the boundary layer begins at the leading edge of the surface and evolves as the fluid moves downstream.As the fluid flows over the surface, friction between the fluid and the wall slows down...
454