(c) A flow field consists of two free vortices which are rotating in clockwise directionwith the strengths, K of 20 m²/s and 15 m/s located at points A(3, 3) and B(-4,-4)respectively.Sketch the whole flow field and indicate all the points (A, B, C and stagnation(i)point(s), note that point C (-4,0) is given in part (iii)) and velocities involvedclearly.(ii) Find the stagnation point or points of this flow field and indicate the coordinateor coordinates clearly.(iii) Find the resultant velocity (both magnitude and angle with x-axis) at pointC(-4, 0).KNote: For free vortex, the velocity components are v, = 0 and v, ==.r

Answered: Image /qna-images/answer/08bfce77-dcdc-43f4-8926-1fc1deadbb46.jpg

Answered: A flow field consists of two free…

A flow field consists of two free vortices which are rotating in clockwise direction with the strengths, K of 20 m²/s and 15 m²/s located at points A(3, 3) and B(-4,-4) respectively.

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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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

(c) A flow field consists of two free vortices which are rotating in clockwise direction
with the strengths, K of 20 m²/s and 15 m/s located at points A(3, 3) and B(-4,-4)
respectively.
Sketch the whole flow field and indicate all the points (A, B, C and stagnation
(i)
point(s), note that point C (-4,0) is given in part (iii)) and velocities involved
clearly.
(ii) Find the stagnation point or points of this flow field and indicate the coordinate
or coordinates clearly.
(iii) Find the resultant velocity (both magnitude and angle with x-axis) at point
C(-4, 0).
K
Note: For free vortex, the velocity components are v, = 0 and v, ==.
r

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