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It is given that the two dimensional velocity field of a fluid flow can be expressed as: V = (u, v) = (0.5 + 0.8x)ỉ + (1.5 + 2.5 sin(@t) – 0.8y)} (a) Considering 0< x< 5 and 0 < y < 5, sketch the vector plot of the above two dimensional velocity field when t = 1. The vectors at integer coordinates must be clearly integrated in the sketch. (b) Sketch the streamlines associated to this two dimensional velocity field when t = 1. %3D (c) What is pathline? (d) Comment if this fluid flow is steady or unsteady. Why?

It is given that the two dimensional velocity field of a fluid flow can be expressed as: V = (u, v) = (0.5 + 0.8x)ỉ + (1.5 + 2.5 sin(@t) – 0.8y)} (a) Considering 0< x< 5 and 0 < y < 5, sketch the vector plot of the above two dimensional velocity field when t = 1. The vectors at integer coordinates must be clearly integrated in the sketch. (b) Sketch the streamlines associated to this two dimensional velocity field when t = 1. %3D (c) What is pathline? (d) Comment if this fluid flow is steady or unsteady. Why?

Elements Of Electromagnetics
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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It is given that the two dimensional velocity field of a fluid flow can be expressed as: = (u, v) = (0.5 + 0.8x)í + (1.5 + 2.5 sin(@t) – 0.8y)j (a) Considering 0 < x < 5 and 0 < y< 5, sketch the vector plot of the above two dimensional velocity field when t =1. The vectors at integer coordinates must be clearly integrated in the sketch. (b) Sketch the streamlines associated to this two dimensional velocity field when t = 1. (c) What is pathline? (d) Comment if this fluid flow is steady or unsteady. Why?
Transcribed Image Text:It is given that the two dimensional velocity field of a fluid flow can be expressed as: = (u, v) = (0.5 + 0.8x)í + (1.5 + 2.5 sin(@t) – 0.8y)j (a) Considering 0 < x < 5 and 0 < y< 5, sketch the vector plot of the above two dimensional velocity field when t =1. The vectors at integer coordinates must be clearly integrated in the sketch. (b) Sketch the streamlines associated to this two dimensional velocity field when t = 1. (c) What is pathline? (d) Comment if this fluid flow is steady or unsteady. Why?
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