Question

The role of vorticity in capillary instability. Equation (5.7) implies that the vorticity $\boldsymbol{\omega}^{\prime}=\boldsymbol{\nabla} \times \mathbf{u}^{\prime}$ is independent of time. Discuss the significance of this in the initial-value problem of capillary instability.

   The role of vorticity in capillary instability. Equation (5.7) implies that the vorticity $\boldsymbol{\omega}^{\prime}=\boldsymbol{\nabla} \times \mathbf{u}^{\prime}$ is independent of time. Discuss the significance of this in the initial-value problem of capillary instability.

Hydrodynamic stability

P. G. Drazin, W. H.… 2nd Edition

Chapter 1, Problem 9

Thanks for your feedback!

The role of vorticity in capillary instability. Equation (5.7) implies that the vorticity $\boldsymbol{\omega}^{\prime}=\boldsymbol{\nabla} \times \mathbf{u}^{\prime}$ is independent of time. Discuss the significance of this in the initial-value problem of capillary instability.

Play audio

Feedback

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Please give Ace some feedback