1. A motion of a fluid is given by the equations X = X + Xt+X31...

Transcribed Image Text:

1. A motion of a fluid is given by the equations X = X + Xt+X31 X=X+ X3t+Xt X3 = X3+Xt+Xt Find the velocity and acceleration of: (a) the particle which was at the point (1, 1, 1) at the reference time t=0,) and (b) the particle which occupies the point (1, 1, 1) at time t. Explain why this motion becomes physically unrealistic as t1. V = V 2. The velocity in a steady helical flow of a fluid is given by v = -Ux, U = Ux, where U and V are constants. Show that div v = 0 and find the acceleration of the particle at x. Also determine the streamlines. 3. The velocity at a point x in space in a body of fluid in steady flow is given by v=19(x-x) (x+x) axx (x+x) + Vez e+2U- where U, V and a are constants. Show that div v=0 and find the acceleration of the particle at x. Also determine the streamlines. 1. A motion of a fluid is given by the equations X = X + Xt+X31 X=X+ X3t+Xt X3 = X3+Xt+Xt Find the velocity and acceleration of: (a) the particle which was at the point (1, 1, 1) at the reference time t=0,) and (b) the particle which occupies the point (1, 1, 1) at time t. Explain why this motion becomes physically unrealistic as t1. V = V 2. The velocity in a steady helical flow of a fluid is given by v = -Ux, U = Ux, where U and V are constants. Show that div v = 0 and find the acceleration of the particle at x. Also determine the streamlines. 3. The velocity at a point x in space in a body of fluid in steady flow is given by v=19(x-x) (x+x) axx (x+x) + Vez e+2U- where U, V and a are constants. Show that div v=0 and find the acceleration of the particle at x. Also determine the streamlines.

Answer rating: 100% (QA)

Youve posted an image of a fluid dynamics problem asking for calculations related to velocity and acceleration of particles in a fluid flow as well as ... View the full answer