Related Experiment Video
Updated: Oct 5, 2025

Uncoupling Coriolis Force and Rotating Buoyancy Effects on Full-Field Heat Transfer Properties of a Rotating Channel
Published on: October 5, 2018
Energy balance for forced two-dimensional incompressible ideal fluid flow
M C Lopes Filho1, H J Nussenzveig Lopes1
1Instituto de Matemática, Universidade Federal do Rio de Janeiro, Cidade Universitária-Ilha do Fundão, Caixa Postal 68530, Rio de Janeiro, RJ 21941-909, Brazil.
Abstract:
Cheskidov et al. (2016 Commun. Math. Phys. 348, 129-143. (doi:10.1007/s00220-016-2730-8)) proved that physically realizable weak solutions of the incompressible two-dimensional Euler equations on a torus conserve kinetic energy. Physically realizable weak solutions are those that can be obtained as limits of vanishing viscosity. The key hypothesis was boundedness of the initial vorticity in [Formula: see text], [Formula: see text]. In this work, we extend their result, by adding forcing to the flow. This article is part of the theme issue 'Scaling the turbulence edifice (part 2)'.
Related Concept Videos
Energy Conservation and Bernoulli's Equation
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
Bernoulli's Equation
Irrotational Flow
Bernoulli's Equation for Flow Along a Streamline
Application of the Linear Momentum Equation
The goal is to determine the force components in the x and y directions to hold the pipe in place. Since...
Couette Flow

