Taylor Bubble
Taylor Bubble - Related Videos
01:31
Taylor Series
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2026
A Taylor series is a power series constructed to reproduce the local behavior of a smooth function about a chosen point, called the center. Its purpose is to encode the function’s value and successive derivatives into a structured expansion that captures local variation. The central task in its derivation is to find coefficients so that the series and the function share identical values and derivatives at the center.Consider a power series centered at x =...
01:30
Convergence of Taylor Series
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2026
The Taylor series provides a systematic method for approximating a smooth function by a polynomial that closely matches the function near a chosen point. This approach is particularly valuable in scientific and engineering contexts where functions may be difficult to evaluate directly, such as oscillatory voltages in alternating current (AC) circuits. Replacing complex functions with polynomial expressions simplifies computation while preserving essential local behavior. Taylor’s Theorem...
01:29
Applications of Taylor Series
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2026
Taylor series provide a systematic way to represent a smooth function as an infinite polynomial centered at a chosen point. When that center is zero, the expansion is called a Maclaurin series. This form is especially useful because every derivative is evaluated at zero, which often makes the coefficients easier to compute. In applied mathematics and physics, such series are valuable because they replace complicated functions with polynomials that are easier to analyze and evaluate...
01:13
Excess Pressure Inside a Drop and a Bubble
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2023
The shape of a small drop of liquid can be considered spherical, neglecting the effect of gravity. This drop can further be considered as two equal hemispherical drops put together due to surface tension. The forces acting on the spherical drop are due to the pressure of the liquid inside the drop, the pressure due to air outside the drop, and the force due to the surface tension acting on the two hemispherical drops. where γ corresponds to the surface tension. Recalling that the force per...
06:42
Magnetically Induced Rotating Rayleigh-Taylor Instability
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Cited by 5 •
2017
We present a protocol for preparing a two-layer density-stratified liquid that can be spun-up into solid body rotation and subsequently induced into Rayleigh-Taylor instability by applying a gradient magnetic field.
FAQs
As gas advances through the liquid-filled channel, it displaces liquid while remaining constrained by the channel walls. Surface tension helps shape the gas-liquid interface, and the remaining thin liquid film separates the bubble from the wall. This coupled displacement and interfacial behavior determines the bubble’s elongated form and influences how it travels through the channel.
Taylor bubble behavior reflects the combined effects of surface tension, viscosity, density, channel geometry, and flow conditions. Surface tension influences the interface, viscosity affects the motion of the surrounding liquid, and density contributes to phase behavior. Geometry and operating conditions further modify the bubble profile and velocity, so no single parameter determines the outcome.
The thin liquid film provides a continuous liquid layer between the gas bubble and the channel wall, while the bubble occupies much of the channel cross-section. This arrangement affects phase distribution and the way gas and liquid move through the system. Consequently, the film is important when analyzing pressure drop, heat transfer, mass transfer, and mixing.
Channel geometry sets the available cross-section and constrains the interface as the bubble moves. Because the bubble nearly fills the passage, changes in geometry can alter its shape, velocity, and the surrounding liquid-film arrangement. Engineers therefore consider geometry alongside fluid properties and flow conditions when describing segmented flow or predicting performance in transport systems.
An engineering study can examine Taylor bubble shape, velocity, liquid-film behavior, pressure drop, heat and mass transfer, mixing, and phase distribution. These characteristics connect the local motion of the gas-liquid interface with system-level performance. Evaluating them helps identify how flow conditions and channel design influence operation in multiphase equipment and transport systems.
Taylor bubbles are relevant to pipelines, microfluidic devices, chemical reactors, and other transport systems that use segmented or slug flow. Their dynamics help engineers describe how phases are distributed and how pressure drop, heat transfer, mass transfer, and mixing develop. This information supports improved design and control of equipment handling gas-liquid flow.