The fluid flow in the region above the two planes: y = x and y = -x can beapproximated by the velocity field:V(x,y,z,t) = -V,ko +yz-yçî-VoLox² +y2x2 + y2where V=0.004 [m/s] and Lo =1.0 [m]a) Make a sketch of the region in which the fluid flows for 0

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The fluid flow in the region above the two planes: y = x and y = -x can be approximated by the velocity field: V(x,y,z, t) = -Voko -VoLo y x² +y2 x2 + y2 where V.=0.004 [m/s] and Lo= 1.0 [m] a) Make a sketch of the region in which the fluid flows for 0

The fluid flow in the region above the two planes: y = x and y = -x can be approximated by the velocity field: V(x,y,z, t) = -Voko -VoLo y x² +y2 x2 + y2 where V.=0.004 [m/s] and Lo= 1.0 [m] a) Make a sketch of the region in which the fluid flows for 0

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

The fluid flow in the region above the two planes: y = x and y = -x can be
approximated by the velocity field:
V(x,y,z,t) = -V,ko +yz-
y
çî-VoLo
x² +y2
x2 + y2
where V=0.004 [m/s] and Lo =1.0 [m]
a) Make a sketch of the region in which the fluid flows for 0<y<1.0 [m]
b) Estimate the fluid velocity at the points (0.8 [m], 1.0 [m], 0 [m]), (0.4 [m],
0.5 [m], 0 [m]), and (0.2 [m], 0.25 [m], 0 [m]). Plot the three velocity
vectors on your sketch;
c) Plot the streamline that goes through the point (0.8 [m], 1.0 [m]); and
d) Plot more streamlines in the flow region (0 < y < 1.0 [m]) to show the
complete flow field picture.

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