Formation of Root Singularities on the Free Surface of a Conducting Fluid in an Electric Field
N. M. Zubarev
Abstract
The formation of singularities on a free surface of a conducting ideal fluid in a strong electric field is considered. It is found that the nonlinear equations of two-dimensional fluid motion can be solved in the small-angle approximation. This enables us to show that for almost arbitrary initial conditions the surface curvature becomes infinite in a finite time.
Create a lesson
Related papers
Solutions of the Navier-Stokes Equation Through Affine Transformations: The Triad Triplet
Ö. D. Gürcan, L. Manfredini, P. Morel
Mean flow scaling in stably stratified temporally developing turbulent boundary layers
Hardy Baptiste, Costa Pedro
Mixed-precision GPU algorithms for efficient turbulent flow simulations with Raviart-Thomas finite elements
Ivan Prusak, Enes Mustafa Soydan, Ivan Pribec et al.
Experimental study of the impact dynamics of polymeric hollow droplets
Mohammad Mahdi Nasiri, Mohammad Reza Daneshvar Garmroodi, Damian Vadillo et al.
Well-posedness of neural turbulence closures and tangent dissipation
Zhen Zhang, George Em Karniadakis
IB-Flows: an open-source multi-GPU immersed boundary code for fluid-structure interaction
Giovanni Vagnoli, Martino Andrea Scarpolini, Fabio Guglietta et al.