(i) V = (ae-bx]t, (ii) V = ax?i + bxj, (ii) V = (ax*e-"] %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve Q1 (b) ( steady unsteady)
Tell when we say that field is steady or unsteady or both?
![Q. 1: (a) Determine whether the following velocity fields are one, two or three-dimensional
(ii)
V = ax?i + bxj, (ii)
V = (ax*e-"]
%3D
If
(i)
(iv) V axt- byj.
(v)
= (ax + t)i - by2j,
(vi)
V = ax?i+ bczj
(vii) V = a(x +y?)"k,
(vii) V= axyt- byztj, (ix)
V = (ae-by)t
%3D
%3D
%3D
(x) V = byj +cyk,
(xi) V= (ay?e-be,
(xii) V= byj- axk
%3D
(xiii)
V = axt + (t - by)j, xiv) V= axt- byj + (t- cz)k
%3D
(a, b, c are constants)
(b) Are the fields in (a) steady or unsteady or both? Classify.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a125efe-f860-4f83-a4d1-b127216d367b%2Fe97df250-20a8-4fe5-9d05-5b26fce1b25c%2Fswvwh0c_processed.png&w=3840&q=75)
Transcribed Image Text:Q. 1: (a) Determine whether the following velocity fields are one, two or three-dimensional
(ii)
V = ax?i + bxj, (ii)
V = (ax*e-"]
%3D
If
(i)
(iv) V axt- byj.
(v)
= (ax + t)i - by2j,
(vi)
V = ax?i+ bczj
(vii) V = a(x +y?)"k,
(vii) V= axyt- byztj, (ix)
V = (ae-by)t
%3D
%3D
%3D
(x) V = byj +cyk,
(xi) V= (ay?e-be,
(xii) V= byj- axk
%3D
(xiii)
V = axt + (t - by)j, xiv) V= axt- byj + (t- cz)k
%3D
(a, b, c are constants)
(b) Are the fields in (a) steady or unsteady or both? Classify.
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