## Answer

## General guidance

Velocity of a fluid particle is a function of location and time. Velocity is a vector which has both magnitude and direction. The acceleration of a fluid particle is the time rate of change of velocity.

The velocity vector for a fluid particle, The acceleration vector for a fluid particle in three dimensional flow, The scalar components of acceleration vector,

## Step-by-step

### Step 1 of 2

The *x*-component of acceleration,
** **
The *y*-component of acceleration,
The *z*-component of acceleration,

Find the components of acceleration along the three Cartesian coordinate axes using the spatial and time derivatives of velocity components.

### Step 2 of 2

Find the acceleration field using the relation,

The acceleration field is .

Write the acceleration field vector using the components of acceleration of the fluid particle.

### Answer

The acceleration field is .

### Answer only

The acceleration field is .