Consider the flow with velocity field given as1(F·X)xF8TTurur2with Ha given constant, F a given constant vector and r=Vx +y? + z?.Do fluid particles rotate?Do they change volume?What is the rate of change of the angle between two initially orthogonal line elements?

Given : To find : Do fluid particles rotate

Consider the flow with velocity field given as (F·x)x 1 F- 8TTur u ( with Ha given constant, F a given constant vector and r =/x +y +y?+z?. Do fluid particles rotate? Do they change volume? What is the rate of change of the angle between two initially orthogonal line elements?

Consider the flow with velocity field given as (F·x)x 1 F- 8TTur u ( with Ha given constant, F a given constant vector and r =/x +y +y?+z?. Do fluid particles rotate? Do they change volume? What is the rate of change of the angle between two initially orthogonal line elements?

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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Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

Consider the flow with velocity field given as
1
(F·X)x
F
8TTur
u
r2
with Ha given constant, F a given constant vector and r=Vx +
y? + z?.
Do fluid particles rotate?
Do they change volume?
What is the rate of change of the angle between two initially orthogonal line elements?

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