The velocity field for fluid flow can be described by the equation: v = a√x² + y² (13) ² k where a = 7m², and x and y are distances in meters. a) Write an equation for the acceleration field for this flow. b) What is the acceleration at the point (x, y, z)=(√2 m, 2 m, 2 m)? c) Write equations for the position as a function of time for a particle that is released from the point (x, y, z) = (3 m, 4 m, √√2 m) at time t = 0 s. d) Is this flow field steady or unsteady? e) Is this flow field one-, two-, or three-dimensional?
The velocity field for fluid flow can be described by the equation: v = a√x² + y² (13) ² k where a = 7m², and x and y are distances in meters. a) Write an equation for the acceleration field for this flow. b) What is the acceleration at the point (x, y, z)=(√2 m, 2 m, 2 m)? c) Write equations for the position as a function of time for a particle that is released from the point (x, y, z) = (3 m, 4 m, √√2 m) at time t = 0 s. d) Is this flow field steady or unsteady? e) Is this flow field one-, two-, or three-dimensional?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:The velocity field for fluid flow can be described by the equation:
v = a√x² + y² (12³) k
Z3
m²
where a = = 7³, and x and y are distances in meters.
a) Write an equation for the acceleration field for this flow.
b) What is the acceleration at the point (x, y, z) = (√2 m, 2 m, 2 m)?
c)
Write equations for the position as a function of time for a particle that is released from
the point (x, y, z) = (3 m, 4 m, √√2 m) at time t = 0 s.
d) Is this flow field steady or unsteady?
e) Is this flow field one-, two-, or three-dimensional?
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