Problem

Given the velocity field

Find the acceleration of fluid particle -

1. as a function of x,y,z and t
2. at (1,1,1) and time t=1

Solution

a)                        From Equation 6.7a to 6.7c we have

 

From the given velocity field,

 

Therefore,

	(i)
	(ii)
	(iii)

            

Combining (i), (ii) and   (iii) total acceleration is

 

      b) At 1,1,1 and t=1 acceleration vector is -