Violent expansion of a rising Taylor bubble

Taylor Expansion for the Entropy Rate of Hidden Markov Chains

We study the entropy rate of a hidden Markov process, defined by observing the output of a symmetric channel whose input is a first order Markov process. Although this definition is very simple, obtaining the exact amount of entropy rate in calculation is an open problem. We introduce some probability matrices based on Markov chain's and channel's parameters. Then, we try to obtain an estimate ...

Bubble behavior in a Taylor vortex.

We present a study on the behavior of air bubbles captured in a Taylor vortex formed in the annulus between two concentric cylinders. It is found that small bubbles stay either at certain locations near the vortex cores or in the outflow regions along the inner cylinder. If bubbles of the same size are introduced, a variety of bubble structures (such as ring, chain, cluster, etc.) appear due to...

Note Pointed Taylor Bubble Revisited

The Fastest Smooth Taylor Bubble

The complicated nature of singularities associated with topological transition in the plane Taylorbubble problem is briefly discussed in the context of estimating the speed of the fastest smooth Taylorbubble in the absence of surface tension. Previous numerical studies were able to show the presence of a stagnation point at the tip of the bubbles for dimensionless speed F < 0.357 but were incom...

Taylor bubble rising in a vertical pipe against laminar or turbulent downward flow: symmetric to asymmetric shape transition