Eulerian method determines the behavior of fluid particles in fluid flow. It describes the velocity, acceleration, density, pressure, etc. of the fluid particles.

Consider S be the position vector of one particle from a fixed reference point. The particle can travel from initial spatial coordinates at time 0 to reach certain point in time t_{0}.

Velocity, V of fluid particles can be given by-

V ⃗ = V (S ⃗, t)

Where,

S ⃗ = xi ̂ + yj ̂ + zk ̂

V ⃗ = u i ̂+ v j ̂ + w k ̂

Thus,

To identify the position of the particle, we can write-

u = u (x, y, z, t) (For scalar components)

v = v (x, y, z, t) (For scalar components)

w = w (x, y, z, t) (For scalar components)

Similarly,

dx/dt = u (x, y, z, t) (For scalar components)

dy/dt= v (x, y, z, t) (For scalar components)

dz/dt = w (x, y, z, t) (For scalar components)

**Links of Previous Main Topic:-**

- Vapour compression refrigeration cycle introduction
- Basic fluid mechanics and properties of fluids introduction
- Fluid statics introduction
- Manometers measurement pressure
- Fluid kinematics
- Lagrangian method for describing fluid method

**Links of Next Mechanical Engineering Topics:-**

- Lagrangian relationship from eulerian equations
- Steady and unsteady flows
- Uniform and non uniform flows
- Stream line
- Path lines
- Streak lines
- Acceleration of a fluid particle
- Continuity equation
- Continuity equation in three dimensions in differential form
- Continuity equation in a cylindrical polar coordinate system
- Bernoullis equation
- Basics and statics of particles introduction
- Equilibrium of rigid bodies introduction