Fluid MechanicsContinuity and Momentum Equations in Eulerian Form and Their Link to Hydraulic Jumps

We review the Eulerian continuity and Euler momentum equations, clarify the relationship between Eulerian and Lagrangian descriptions via the material derivative, and briefly…

Fluid Mechanics

Kelvin WedgeEulerian and Lagrangian Forms of the Continuity and Momentum Equations

We recall the continuity and Euler momentum equations in Eulerian form, derive the material derivative \(\mathrm{d} \mathbf{v} / \mathrm{d} t=\partial_t \mathbf{v}+(\mathbf{v} \cdot \nabla) \mathbf{v}\), and explain how Eulerian field descriptions…

Fluid Mechanics