Question -3: Show that the velocity fieldy²Z² Z³플라이를2V = xyz²î -- zĵ + y( -)k2 3satisfies the continuity equation for an incompressible flow and finds the velocity atthe point (1, 1, 1).

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Answered: Question -3: Show that the velocity…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the position r(t) acceleration a(t) = (3 cos t, 2 sin t, 2)- v(0) = (0,0, 1) of a particle that begins at r(0) = (2, 1,0) and has and initial velocity Select one: a. r(t) = (5+ 4t - 3 cos t, 1-t-2 sin t, t2 + 2t) b. r(t) = (5 – 3 cos t, 1 + 2t- 2 sin t, t2 + t) C. r(t) = (5 +2t – 3 cos t, 1 +3t - 2 sin t, t² +t+ 1) d. r(t) = (4+t-3 cos t, 2+ 3t – 2 sin t, t2) e. r(t) = (5 -t- 3 cos t, 1 +t-2 sin t, t2)
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Question -3: Show that the velocity field y² Z² Z³ V = xyz²î - - zĵ+ y( -)k 2 2 3 satisfies the continuity equation for an incompressible flow and finds the velocity at the point (1, 1, 1).