Euler’s Equation of Motion is a statement of

By Mandeep Kumar|Updated : August 4th, 2022

1. mass conservation

2. linear momentum conservation for a real fluid

3. energy conservation

4. linear momentum conservation for the flow of an inviscid fluid

Euler’s Equation of Motion elucidates unsteady, inviscid flows of compressible or incompressible fluids. The equation is named after Leonhard Euler. It is related to Newton’s second law, which relates the fluid particle's velocity change to the presence of a force.

Answer: Euler’s Equation of Motion is a statement of linear momentum conservation for the flow of an inviscid fluid.

In fluid dynamics, Euler’s equation describes the flow of a fluid without accounting for the fluid’s viscosity. The equations corresponding to the Navier–Stokes equations. These equations are used for working where compressibility and viscosity for fluid are negligible. Euler’s equations are powerful enough to describe flow phenomena in multiple situations.

More details on Euler’s Equations

Following are the crucial details on Euler’s Equations:

  • After the wave equation, Euler’s equations were among the first partial differential equations to be written down.

  • In Euler’s Equations, inviscid flow is the flow of a fluid that has zero viscosity.

  • The fluids such as water or alcohols can be treated in certain flow regimes very accurately with Euler’s equations.

Summary:

Euler’s Equation of Motion is a statement of

Euler’s equations of motion are applicable to incompressible or compressible flow. They are based on the Navier–Stokes equations with zero viscosity and zero thermal conductivity.

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